A pandemic risk assessment of middle east respiratory syndrome coronavirus (MERS-CoV) in Saudi Arabia
Identifieur interne : 001135 ( Pmc/Corpus ); précédent : 001134; suivant : 001136A pandemic risk assessment of middle east respiratory syndrome coronavirus (MERS-CoV) in Saudi Arabia
Auteurs : Saleh A. Eifan ; Islam Nour ; Atif Hanif ; Abdelrahman M. M. Zamzam ; Sameera Mohammed AljohaniSource :
- Saudi Journal of Biological Sciences [ 1319-562X ] ; 2017.
Abstract
Since the initial emergence of Middle East respiratory syndrome coronavirus (MERS-CoV) in 2012, a high incidence rate has been observed in Saudi Arabia. This suggests that the country is at continuous risk. The epidemic level of MERS-CoV infection was examined in Saudi Arabia by the Susceptible-Infectious-Recovered (SIR) model using a Bayesian approach for estimation of time dependent reproduction number (R) across a two-year interval (May, 2013-May, 2015) in five defined clusters, followed by sensitivity analysis of the most significant clusters. Significant MERS-CoV peaks were detected in the period between March and May of each year. Moreover, MERS-CoV infection was highlighted in western (40.8%) and central (31.9%) regions, followed by eastern region (20%). The temporal-based Bayesian approach indicated a sub-critical epidemic in all regions in the baseline scenario (R: 0.85–0.97). However, R potential limit was exceeded in the sensitivity analysis scenario in only central and western regions (R: 1.08–1.12) that denoted epidemic level in those regions. The impact of sporadic cases was found relatively insignificant and pinpointed to the lack of zoonotic influence on MERS-CoV transmission dynamics. The results of current study would be helpful for evaluation of future progression of MERS-CoV infections, better understanding and control interventions.
Url:
DOI: 10.1016/j.sjbs.2017.06.001
PubMed: 29062261
PubMed Central: 5643837
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PMC:5643837Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">A pandemic risk assessment of middle east respiratory syndrome coronavirus (MERS-CoV) in Saudi Arabia</title><author><name sortKey="Eifan, Saleh A" sort="Eifan, Saleh A" uniqKey="Eifan S" first="Saleh A." last="Eifan">Saleh A. Eifan</name><affiliation><nlm:aff id="af005">Botany and Microbiology Department, Faculty of Science, King Saud University, Riyadh, Saudi Arabia</nlm:aff></affiliation></author><author><name sortKey="Nour, Islam" sort="Nour, Islam" uniqKey="Nour I" first="Islam" last="Nour">Islam Nour</name><affiliation><nlm:aff id="af005">Botany and Microbiology Department, Faculty of Science, King Saud University, Riyadh, Saudi Arabia</nlm:aff></affiliation></author><author><name sortKey="Hanif, Atif" sort="Hanif, Atif" uniqKey="Hanif A" first="Atif" last="Hanif">Atif Hanif</name><affiliation><nlm:aff id="af005">Botany and Microbiology Department, Faculty of Science, King Saud University, Riyadh, Saudi Arabia</nlm:aff></affiliation></author><author><name sortKey="Zamzam, Abdelrahman M M" sort="Zamzam, Abdelrahman M M" uniqKey="Zamzam A" first="Abdelrahman M. M." last="Zamzam">Abdelrahman M. M. Zamzam</name><affiliation><nlm:aff id="af010">Basic Medical Science Department, Inaya Medical Sciences College, Riyadh, Saudi Arabia</nlm:aff></affiliation></author><author><name sortKey="Aljohani, Sameera Mohammed" sort="Aljohani, Sameera Mohammed" uniqKey="Aljohani S" first="Sameera Mohammed" last="Aljohani">Sameera Mohammed Aljohani</name><affiliation><nlm:aff id="af015">Division of Microbiology, Pathology and Laboratory Medicine, King AbdulAziz Medical City, Riyadh, Saudi Arabia</nlm:aff></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">PMC</idno><idno type="pmid">29062261</idno><idno type="pmc">5643837</idno><idno type="url">http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5643837</idno><idno type="RBID">PMC:5643837</idno><idno type="doi">10.1016/j.sjbs.2017.06.001</idno><date when="2017">2017</date><idno type="wicri:Area/Pmc/Corpus">001135</idno><idno type="wicri:explorRef" wicri:stream="Pmc" wicri:step="Corpus" wicri:corpus="PMC">001135</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a" type="main">A pandemic risk assessment of middle east respiratory syndrome coronavirus (MERS-CoV) in Saudi Arabia</title><author><name sortKey="Eifan, Saleh A" sort="Eifan, Saleh A" uniqKey="Eifan S" first="Saleh A." last="Eifan">Saleh A. Eifan</name><affiliation><nlm:aff id="af005">Botany and Microbiology Department, Faculty of Science, King Saud University, Riyadh, Saudi Arabia</nlm:aff></affiliation></author><author><name sortKey="Nour, Islam" sort="Nour, Islam" uniqKey="Nour I" first="Islam" last="Nour">Islam Nour</name><affiliation><nlm:aff id="af005">Botany and Microbiology Department, Faculty of Science, King Saud University, Riyadh, Saudi Arabia</nlm:aff></affiliation></author><author><name sortKey="Hanif, Atif" sort="Hanif, Atif" uniqKey="Hanif A" first="Atif" last="Hanif">Atif Hanif</name><affiliation><nlm:aff id="af005">Botany and Microbiology Department, Faculty of Science, King Saud University, Riyadh, Saudi Arabia</nlm:aff></affiliation></author><author><name sortKey="Zamzam, Abdelrahman M M" sort="Zamzam, Abdelrahman M M" uniqKey="Zamzam A" first="Abdelrahman M. M." last="Zamzam">Abdelrahman M. M. Zamzam</name><affiliation><nlm:aff id="af010">Basic Medical Science Department, Inaya Medical Sciences College, Riyadh, Saudi Arabia</nlm:aff></affiliation></author><author><name sortKey="Aljohani, Sameera Mohammed" sort="Aljohani, Sameera Mohammed" uniqKey="Aljohani S" first="Sameera Mohammed" last="Aljohani">Sameera Mohammed Aljohani</name><affiliation><nlm:aff id="af015">Division of Microbiology, Pathology and Laboratory Medicine, King AbdulAziz Medical City, Riyadh, Saudi Arabia</nlm:aff></affiliation></author></analytic><series><title level="j">Saudi Journal of Biological Sciences</title><idno type="ISSN">1319-562X</idno><idno type="eISSN">2213-7106</idno><imprint><date when="2017">2017</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><p>Since the initial emergence of Middle East respiratory syndrome coronavirus (MERS-CoV) in 2012, a high incidence rate has been observed in Saudi Arabia. This suggests that the country is at continuous risk. The epidemic level of MERS-CoV infection was examined in Saudi Arabia by the Susceptible-Infectious-Recovered (SIR) model using a Bayesian approach for estimation of time dependent reproduction number (R) across a two-year interval (May, 2013-May, 2015) in five defined clusters, followed by sensitivity analysis of the most significant clusters. Significant MERS-CoV peaks were detected in the period between March and May of each year. Moreover, MERS-CoV infection was highlighted in western (40.8%) and central (31.9%) regions, followed by eastern region (20%). The temporal-based Bayesian approach indicated a sub-critical epidemic in all regions in the baseline scenario (R: 0.85–0.97). However, R potential limit was exceeded in the sensitivity analysis scenario in only central and western regions (R: 1.08–1.12) that denoted epidemic level in those regions. The impact of sporadic cases was found relatively insignificant and pinpointed to the lack of zoonotic influence on MERS-CoV transmission dynamics. The results of current study would be helpful for evaluation of future progression of MERS-CoV infections, better understanding and control interventions.</p></div></front><back><div1 type="bibliography"><listBibl><biblStruct><analytic><author><name sortKey="Abolfotouh, M A" uniqKey="Abolfotouh M">M.A. Abolfotouh</name></author><author><name sortKey="Alqarni, A A" uniqKey="Alqarni A">A.A. AlQarni</name></author><author><name sortKey="Al Ghamdi, S M" uniqKey="Al Ghamdi S">S.M. Al-Ghamdi</name></author><author><name sortKey="Salam, M" uniqKey="Salam M">M. Salam</name></author><author><name sortKey="Al Assiri, M H" uniqKey="Al Assiri M">M.H. Al-Assiri</name></author><author><name sortKey="Balkhy, H H" uniqKey="Balkhy H">H.H. 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<front><journal-meta><journal-id journal-id-type="nlm-ta">Saudi J Biol Sci</journal-id><journal-id journal-id-type="iso-abbrev">Saudi J Biol Sci</journal-id><journal-title-group><journal-title>Saudi Journal of Biological Sciences</journal-title></journal-title-group><issn pub-type="ppub">1319-562X</issn><issn pub-type="epub">2213-7106</issn><publisher><publisher-name>Production and hosting by Elsevier B.V. on behalf of King Saud University.</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="pmid">29062261</article-id><article-id pub-id-type="pmc">5643837</article-id><article-id pub-id-type="publisher-id">S1319-562X(17)30150-X</article-id><article-id pub-id-type="doi">10.1016/j.sjbs.2017.06.001</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title-group><article-title>A pandemic risk assessment of middle east respiratory syndrome coronavirus (MERS-CoV) in Saudi Arabia</article-title></title-group><contrib-group><contrib contrib-type="author" id="au005"><name><surname>Eifan</surname><given-names>Saleh A.</given-names></name><email>seifan@ksu.edu.sa</email><xref rid="af005" ref-type="aff">a</xref><xref rid="cor1" ref-type="corresp">⁎</xref></contrib><contrib contrib-type="author" id="au010"><name><surname>Nour</surname><given-names>Islam</given-names></name><email>inour@ksu.edu.sa</email><xref rid="af005" ref-type="aff">a</xref></contrib><contrib contrib-type="author" id="au015"><name><surname>Hanif</surname><given-names>Atif</given-names></name><email>ahchaudhry@ksu.edu.sa</email><xref rid="af005" ref-type="aff">a</xref></contrib><contrib contrib-type="author" id="au020"><name><surname>Zamzam</surname><given-names>Abdelrahman M.M.</given-names></name><email>abdelrahman.zamzam@gmail.com</email><xref rid="af010" ref-type="aff">b</xref></contrib><contrib contrib-type="author" id="au025"><name><surname>AlJohani</surname><given-names>Sameera Mohammed</given-names></name><email>johaniS@ngha.med.sa</email><xref rid="af015" ref-type="aff">c</xref></contrib></contrib-group><aff id="af005"><label>a</label>Botany and Microbiology Department, Faculty of Science, King Saud University, Riyadh, Saudi Arabia</aff><aff id="af010"><label>b</label>Basic Medical Science Department, Inaya Medical Sciences College, Riyadh, Saudi Arabia</aff><aff id="af015"><label>c</label>Division of Microbiology, Pathology and Laboratory Medicine, King AbdulAziz Medical City, Riyadh, Saudi Arabia</aff><author-notes><corresp id="cor1"><label>⁎</label>Corresponding author at: Botany and Microbiology Department, King Saud University, Riyadh 11451, P.O.B. 2455, Saudi Arabia. <email>seifan@ksu.edu.sa</email></corresp></author-notes><pub-date pub-type="pmc-release"><day>6</day><month>6</month><year>2017</year></pub-date><pmc-comment> PMC Release delay is 0 months and 0 days and was based on .</pmc-comment>
<pub-date pub-type="ppub"><month>11</month><year>2017</year></pub-date><pub-date pub-type="epub"><day>6</day><month>6</month><year>2017</year></pub-date><volume>24</volume><issue>7</issue><fpage>1631</fpage><lpage>1638</lpage><history><date date-type="received"><day>24</day><month>2</month><year>2017</year></date><date date-type="rev-recd"><day>29</day><month>5</month><year>2017</year></date><date date-type="accepted"><day>1</day><month>6</month><year>2017</year></date></history><permissions><copyright-statement>© 2017 Production and hosting by Elsevier B.V. on behalf of King Saud University.</copyright-statement><copyright-year>2017</copyright-year><copyright-holder></copyright-holder><license><license-p>Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.</license-p></license></permissions><abstract id="ab005"><p>Since the initial emergence of Middle East respiratory syndrome coronavirus (MERS-CoV) in 2012, a high incidence rate has been observed in Saudi Arabia. This suggests that the country is at continuous risk. The epidemic level of MERS-CoV infection was examined in Saudi Arabia by the Susceptible-Infectious-Recovered (SIR) model using a Bayesian approach for estimation of time dependent reproduction number (R) across a two-year interval (May, 2013-May, 2015) in five defined clusters, followed by sensitivity analysis of the most significant clusters. Significant MERS-CoV peaks were detected in the period between March and May of each year. Moreover, MERS-CoV infection was highlighted in western (40.8%) and central (31.9%) regions, followed by eastern region (20%). The temporal-based Bayesian approach indicated a sub-critical epidemic in all regions in the baseline scenario (R: 0.85–0.97). However, R potential limit was exceeded in the sensitivity analysis scenario in only central and western regions (R: 1.08–1.12) that denoted epidemic level in those regions. The impact of sporadic cases was found relatively insignificant and pinpointed to the lack of zoonotic influence on MERS-CoV transmission dynamics. The results of current study would be helpful for evaluation of future progression of MERS-CoV infections, better understanding and control interventions.</p></abstract><kwd-group id="kg005"><title>Keywords</title><kwd>MERS-CoV</kwd><kwd>Time dependent reproduction number</kwd><kwd>Sensitivity analysis</kwd><kwd>Outbreaks</kwd><kwd>Sporadic cases</kwd></kwd-group></article-meta></front><body><sec id="s0005"><label>1</label><title>Introduction</title><p id="p0005">Middle East respiratory syndrome (MERS) has become a global concern since it was recognized for the first time in 2012 as a primitive source of renal failure and severe respiratory sickness caused by a novel highly pathogenic coronavirus (<xref rid="b0090" ref-type="bibr">Majumder et al., 2014</xref>). Coronaviruses were not considered as a major public health threat before 2003, as they were known to cause only mild upper respiratory tract infections. The first known serious coronavirus infection was the severe acute respiratory syndrome coronavirus (SARS-CoV) in 2002, which caused an outbreak with approximately 8400 cases and 800 deaths (<xref rid="b0170" ref-type="bibr">World Health Organization, 2003</xref>).</p><p id="p0010">MERS-CoV pinpointed a zoonotic introduction of a novel coronavirus probably originating from bats into human populations (<xref rid="b0150" ref-type="bibr">Sharif-Yakan and Kanj, 2014</xref>). The zoonotic origin of MERS-CoV was bolstered via phylogenetic analysis and elucidated a very proximal phylogenetic similarity with the bat Betacoronaviruses: BtCoV-HKU4 and BtCoV-HKU5 (<xref rid="b0155" ref-type="bibr">van Boheemen et al., 2012</xref>) as well as identified of the cellular receptor (<xref rid="b0130" ref-type="bibr">Raj et al., 2013</xref>). However, contact frequency between human and bats is highly limited in Arabian Peninsula. Subsequently other intermediate hosts were proposed, such as camels and goats (<xref rid="b0135" ref-type="bibr">Raj et al., 2014a</xref>, <xref rid="b0140" ref-type="bibr">Raj et al., 2014b</xref>). MERS-CoV was found circulating in dromedary camels from last 20 years (<xref rid="b0050" ref-type="bibr">Corman et al., 2014</xref>), and MERS-CoV neutralizing antibodies were detected in camels (<xref rid="b0145" ref-type="bibr">Reusken et al., 2013</xref>, <xref rid="b0105" ref-type="bibr">Milne-Price et al., 2014</xref>). These findings indicated that camels could serve as the intermediate host for MERS-CoV zoonotic infections in Saudi Arabia, Oman, Jordan, and United Arab Emirates. On the other hand, human-to-human transmission was frequently observed among MERS cases as most of the human infections were recorded among health care workers and within households proposed a close contact transmission (<xref rid="b0075" ref-type="bibr">Hunter et al., 2016</xref>, <xref rid="b0150" ref-type="bibr">Sharif-Yakan and Kanj, 2014</xref>). The World Health Organization (WHO) has reported 1038 MERS cases, mostly occurred in Arabian Peninsula involved 460 deaths from Saudi Arabia (<xref rid="b0100" ref-type="bibr">Memish et al., 2015</xref>). Consequently, Saudi Arabia was considered as the epicenter of MERS-CoV infections (<xref rid="b0010" ref-type="bibr">Alqahtani et al., 2017</xref>). Subsequently several studies investigated the existing status and future evolution of pathogen to confront the probable outbreaks by studying MERS-CoV transmission (<xref rid="b0030" ref-type="bibr">Breban et al., 2013</xref>, <xref rid="b0125" ref-type="bibr">Poletto et al., 2014</xref>, <xref rid="b0080" ref-type="bibr">Kucharski and Althaus, 2015</xref>, <xref rid="b0005" ref-type="bibr">Abolfotouh et al., 2017</xref>). The current study examined the level of heterogeneity in MERS-CoV transmission via cluster analysis relying on the geographical distribution of MERS cases since it could clarify the linkage between epidemic status and geographical separation of clusters (<xref rid="b0040" ref-type="bibr">Cauchemeza et al., 2016</xref>). One useful indicator that is used to check viral transmissibility is the basic reproduction number (R<sub>0</sub>) representing the number of secondary cases due to each index case in a fully susceptible population because no approved vaccine is available (<xref rid="b0030" ref-type="bibr">Breban et al., 2013</xref>). Basic reproduction number sets the infectious agent’s potential to start an outbreak. When R<sub>0</sub> is >1 epidemics takes off and the epidemic can diminish and die out when R<sub>0</sub> is less than 1 (<xref rid="b0045" ref-type="bibr">Chang, 2016</xref>). Moreover, reproduction numbers can be estimated at various times during an epidemic. It can be estimated at the beginning of an outbreak (initial reproduction number) or at any time during the outbreak (time-dependent reproduction number). Several methods are used to evaluate the initial reproduction number involving attack rate analysis, exponential growth (EG) method, maximum likelihood (ML) estimation and sequential Bayesian (SB) method (<xref rid="b0115" ref-type="bibr">Obadia et al., 2012</xref>). However, the time-dependent reproduction number can be computed by averaging over all transmission networks compatible with observations using the time-dependant method (<xref rid="b0160" ref-type="bibr">Wallinga and Teunis, 2004</xref>). The attack rate method requires the least information, but it can be used only when the epidemic has finished, and additionally no further intervention can be conducted during the entire outbreak course. Thus, the use of this method is mostly limited to definite settings as schools or hospitals. In EG method, the exponential growth rate occurrence during the early phase of an outbreak can be concomitant to the initial reproduction ratio. The incidence data is integer estimated and Poisson regression is specified to evaluate this parameter rather than linear regression of the logged incidence (<xref rid="b0025" ref-type="bibr">Boelle et al., 2009</xref>, <xref rid="b0070" ref-type="bibr">Hens et al., 2011</xref>). ML method depends on the postulation that the number of secondary cases triggered by an index case is Poisson distributed with probable value R. In sequential bayesian method, the former distribution for R utilized on each new day is the subsequent distribution from the previous day. At each time, the mode of the posterior may be estimated along with the highest probability density interval. Similar to the previous methods, this method necessitates that the epidemic is occurring in a period of exponential growth (<xref rid="b0115" ref-type="bibr">Obadia et al., 2012</xref>). On the other hand, overestimation of the initial reproduction number may be obtained in a case when epidemic is not observed from the initial case, because some index cases are not present in the epidemic curve. In ML method this problem was solved by a correction made for absent generations at the beginning of the epidemic curve and similar is recommended in the Bayesian setting (<xref rid="b0095" ref-type="bibr">McBryde et al., 2009</xref>) by assuming a constant reproduction number. However, it is not possible for the TD method due to variation of reproduction ratio with the time. Thus, the current study relied on Bayesian method to follow up the epidemic progress in Saudi Arabia and particularly in the absence of information around the index cases from two year data of MERS cases by assuming a random mixing in a fully susceptible population.</p></sec><sec id="s0010"><label>2</label><title>Method</title><sec id="s0015"><label>2.1</label><title>Data sources</title><p id="p0015">The analysis focused on the progress of MERS-CoV in Saudi Arabia from May 2013 and May 2015. A line list of MERS cases was compiled from the Saudi Arabian ministry of health (MOH) reports, published on the official MOH website (<ext-link ext-link-type="uri" xlink:href="http://www.moh.gov.sa/en/CCC/PressReleases/Pages/default.aspx" id="ir005"><underline>http://www.moh.gov.sa/en/CCC/PressReleases/Pages/default.aspx</underline></ext-link>). The list contained 765 confirmed MERS cases.</p></sec><sec id="s0020"><label>2.2</label><title>Data clustering</title><p id="p0020">The concept of cluster was based on geographical grouping into five major clusters: central area, northern area, western area, southern area, and eastern area. The provinces included in each cluster are shown in <xref rid="t0005" ref-type="table">Table 1</xref>.<table-wrap position="float" id="t0005"><label>Table 1</label><caption><p>Geographical clustering.</p></caption><table frame="hsides" rules="groups"><thead><tr><th>Region</th><th>Provinces</th></tr></thead><tbody><tr><td>Central region</td><td>Riyadh, Qasim</td></tr><tr><td>Western region</td><td>Makkah, Madinah, Baha</td></tr><tr><td>Eastern region</td><td>Eastern Province</td></tr><tr><td>Northern region</td><td>Tabuk, Jouf,, Hail, Northern border</td></tr><tr><td>Southern region</td><td>Asir, Najran, Jizan</td></tr></tbody></table></table-wrap></p></sec><sec id="s0025"><label>2.3</label><title>MERS-CoV epidemiological parameters</title><p id="p0025">The incubation period was fixed at 5.2 days according to data acquired from hospital outbreak in Saudi Arabia (<xref rid="b0015" ref-type="bibr">Assiri et al., 2013</xref>), and in line with information obtained from travel-related cases (<xref rid="b0035" ref-type="bibr">Cauchemez et al., 2014</xref>).</p><sec id="s0030"><label>2.3.1</label><title>Estimation of the initial reproduction number using sequential Bayesian method</title><p id="p0030">All known data was used as a prior for next iteration. It relied on an approximation to the SIR model, whereby incidence at time
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+ 1,
<italic>N</italic>(<italic>t</italic>
+ 1) was approximately Poisson distributed with mean <italic>N</italic>(<italic>t</italic>)<italic>e</italic><sup>(</sup><italic><sup>γ</sup></italic><sup>(</sup><italic><sup>R</sup></italic>
<sup>− 1))</sup> (<italic>γ</italic><sup>−1</sup> represents the average duration of the infectious period) (<xref rid="b0025" ref-type="bibr">Boelle et al., 2009</xref>).</p><p id="p0035">The formulation of probabilistic standard SIR disease transmission models is similar to the time-series SIR approach (<xref rid="b9000" ref-type="bibr">Bjørnstad et al., 2002</xref>), where all infectious and susceptible individuals are assumed to mix homogeneously and it simplifies to reconstruct the transmission chains. The standard epidemic susceptible infected model is expressed as:<disp-formula id="e0005"><mml:math id="M1" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mfrac><mml:mrow><mml:mi mathvariant="italic">dS</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">dt</mml:mi></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mi>β</mml:mi><mml:mfrac><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:mfrac><mml:mi>I</mml:mi><mml:mspace width="0.12em"></mml:mspace><mml:mtext>and</mml:mtext><mml:mspace width="0.12em"></mml:mspace><mml:mfrac><mml:mrow><mml:mi mathvariant="italic">dI</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">dt</mml:mi></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mi>β</mml:mi><mml:mfrac><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:mfrac><mml:mi>I</mml:mi><mml:mo>-</mml:mo><mml:mi>γ</mml:mi><mml:mi>I</mml:mi></mml:mrow></mml:math></disp-formula></p><p id="p0040">S is the average number of susceptibles at time t, I is the average number of infections, N is the size of the population, which decreases due to disease-induced deaths, β is the contact rate (<xref rid="b0020" ref-type="bibr">Bettencourt and Ribeiro, 2008</xref>). After an average residence time γ<sup>−1</sup>, infectious individuals recover or die. The Bayesian procedure is engaged to convert time series of case numbers to a probability distribution. The proposed algorithm, described in a Bayesian framework, started with a non-informative prior on the distribution of the reproduction number R (<xref rid="f0005" ref-type="fig">fig. 1</xref>).<fig id="f0005"><label>Fig. 1</label><caption><p>Schematic diagram for the assessment of MERS-CoV pandemic risk in Saudi Arabia.</p></caption><graphic xlink:href="gr1_lrg"></graphic></fig></p><p id="p0045">The distribution was updated as new data was observed, using the following equation: <inline-formula><mml:math id="M2" altimg="si2.gif" overflow="scroll"><mml:mrow><mml:mi>P</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">|</mml:mo><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>o</mml:mi></mml:mrow></mml:msub><mml:mtext>,</mml:mtext><mml:mo>…</mml:mo><mml:mo>.</mml:mo><mml:mtext>,</mml:mtext><mml:mi>N</mml:mi><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>P</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">|</mml:mo><mml:mi>R</mml:mi><mml:mo>.</mml:mo><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>o</mml:mi></mml:mrow></mml:msub><mml:mtext>,</mml:mtext><mml:mo>…</mml:mo><mml:mtext>,</mml:mtext><mml:mi>N</mml:mi><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mi>P</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">|</mml:mo><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>o</mml:mi></mml:mrow></mml:msub><mml:mtext>,</mml:mtext><mml:mo>…</mml:mo><mml:mtext>,</mml:mtext><mml:mi>N</mml:mi><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>P</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>o</mml:mi></mml:mrow></mml:msub><mml:mtext>,</mml:mtext><mml:mo>…</mml:mo><mml:mtext>,</mml:mtext><mml:mi>N</mml:mi><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mfrac></mml:mrow></mml:math></inline-formula> (<xref rid="b0115" ref-type="bibr">Obadia et al., 2012</xref>). An exponential growth for the epidemic period was assumed for this method. Moreover, this method assumed random mixing in the population. The package “Estimation of R<sub>0</sub> and Real-Time Reproduction Number from Epidemics” in R software Version 1.6 was used to implement the Bayesian method.</p></sec><sec id="s0035"><label>2.3.2</label><title>Sensitivity analysis</title><p id="p0050">A sensitivity analysis was carried out to determine the impact of sporadic cases on the basic reproductive number in a specific cluster. Sensitivity analysis was performed by screening of the confirmed MERS-CoV cases that were found correlated to the index cases. Moreover, the sporadic cases were excluded in sensitivity analysis to estimate the impact of these cases on the spread pattern in the baseline scenario. The program code on the software R was adjusted by specifying the disease generation time. These adjustments allowed the computation of the basic reproductive number after a variation in the time of the initial emergence of the virus with transmission to humans (<xref rid="b0125" ref-type="bibr">Poletto et al., 2014</xref>). The R results of the sensitivity analysis were compared to their corresponding baseline R results for each cluster (<xref rid="f0005" ref-type="fig">Fig. 1</xref>). In current sensitivity analysis, we referred to the total count of cases involved in the study from May 2013 to May 2015 as the baseline. On the other hand, the cases in the outbreak periods were referred as outbreak cases.</p><p id="p0055">Sensitivity analysis was performed by considering: (i) Detailed definition of source region to provinces and belonging cities, including Riyadh, Qasim, Makkah, Madinah, Baha, Eastern Province, Tabuk, Jouf, Hail, Northern border, Asir, Najran and Jizan. (ii) Restricted five regions were used for data assembly and cluster-based interpretation and only the significant clusters data was utilized for sensitivity analysis. (iii) A variation in the time of the initial emergence of the virus with transmission to humans was considered maximum up to 5.2 days for inter-human transmission and it was assumed that sporadic cases may be introduced for a period of more than 5.2 days before the known initial cases. (iv) Daily sporadic cases detected in the baseline scenario during the period of 2 year study were excluded in the sensitivity analysis to test the possibility of inter-human transmission.</p></sec></sec></sec><sec id="s0040"><label>3</label><title>Results</title><p id="p0060">The epidemic curve of MERS-CoV infection in Saudi Arabia during the two-year-study period displayed a higher dynamic outbreak of MERS cases in the period between March and May of each year. Despite the highly significant MERS peak observed particularly in 2014, the following year showed a lower number of MERS incidents (<xref rid="f0010" ref-type="fig">Fig. 2</xref>).<fig id="f0010"><label>Fig. 2</label><caption><p>Epidemic curve of MERS-CoV infection in Saudi Arabia during the period between May, 2013 and May 2015.</p></caption><graphic xlink:href="gr2_lrg"></graphic></fig></p><p id="p0065">Cluster analysis based on geographical distribution of MERS cases depicted a higher representation of reported cases in the western (40.8%) and central (31.9%) regions. The lower number of cases was observed in the eastern region (20%). However, the least significant cases were recorded in northern (4.6%) and southern (2.7%) regions (<xref rid="f0015" ref-type="fig">Fig. 3</xref>). The daily rate of sporadic cases was found the highest in central region (1.20, 95% CI: 1.07–1.41) in relation to western and eastern regions (0.08, 95% CI: 0.06–0.12 and 0.05, 95% CI: 0.02–0.09), respectively.<fig id="f0015"><label>Fig. 3</label><caption><p>Geographical distribution of MERS-CoV cases in the five clusters in Saudi Arabia.</p></caption><graphic xlink:href="gr3_lrg"></graphic></fig></p><p id="p0070">A temporal analysis of reproduction number (R) led to potential variation in R value among study clusters. Both central and western regions scored the highest R value (R: 0.97, 95% CI: 0.64–1.36) and (R: 0.96, 95% CI: 0.52–1.25) respectively followed by the eastern region (R: 0.85, 95% CI: 0.57–1.05). R value was found at the lowest level in the Northern and Southern regions, respectively (R: 0.02 and 0.18). Therefore, the sensitivity analysis was performed for only western, central and eastern regions (<xref rid="t0010" ref-type="table">Table 2</xref>).<table-wrap position="float" id="t0010"><label>Table 2</label><caption><p>The initial reproductive number values R and the daily rate of emergence of sporadic cases of MERS CoV.R: Initial reproduction number, CI: Confidence Interval.</p></caption><table frame="hsides" rules="groups"><thead><tr><th>Analysis</th><th>Data</th><th>R (95% CI)</th><th>Daily Rate of Sporadic Cases (95% CI)</th></tr></thead><tbody><tr><td rowspan="3">Baseline</td><td>Baseline data: All reported cases by MOH in Saudi Arabia during the period May, 2013 to May, 2015 in only three regions:<break></break>(a) Western region</td><td>0.96 (0.52–1.25)</td><td>1.20 (1.07–1.41)</td></tr><tr><td>(b) Central region</td><td>0.97 (0.64–1.36)</td><td>0.08 (0.06–0.12)</td></tr><tr><td>(c) Eastern region</td><td>0.85 (0.57–1.05)</td><td>0.05(0.02–0.09)</td></tr><tr><td rowspan="3">Sensitivity</td><td>All confirmed cases in only three regions of Saudi Arabia during the period May, 2013 to May, 2015 within the MERS CoV incubation period of 5.2 days and excluding the sporadic cases:<break></break>(a) Western region</td><td>1.08 (0.84–1.20)</td><td rowspan="3"></td></tr><tr><td>(b) Central region</td><td>1.12 (0.94–1.47)</td></tr><tr><td>(c) Eastern region</td><td>0.97 (0.81–1.18)</td></tr></tbody></table></table-wrap></p><p id="p0075">Sensitivity analysis demonstrated an insignificant impact of sporadic cases on the dynamic status of MERS CoV spread pattern. It was detected that the model used for the analysis was robust and that most of the cases were related and most likely evolved from index cases.</p><p id="p0080">The elevation of basic reproduction number (R > 1) was recorded in both central and western regions during the most of the study period (<xref rid="f0020" ref-type="fig">Figs. 4.1b</xref>and <xref rid="f0025" ref-type="fig">4.2d</xref>) and after exclusion of sporadic cases a significant decrease in the confidence interval was noted in comparison to the baseline scenario (<xref rid="f0020" ref-type="fig">Fig. 4.1</xref>a and c). However, the MERS-CoV status remained roughly steady below the threshold limit (R < 1) even after exclusion of sporadic cases in the eastern region with a limited decrease in the confidence interval (<xref rid="f0025" ref-type="fig">Fig. 4.2</xref>e and f).<fig id="f0020"><label>Fig. 4a</label><caption><p>Bayesian skyline plot (BSP) showing the changes in basic reproductive number of MERS-CoV across time in a: central region baseline, b: Confirmed cases in central region, c: Western region baseline. The dashed black line indicates the median of R values estimated from the Poisson regression model. The gray shading indicates the 95% CI of the estimated R.</p></caption><graphic xlink:href="gr4a_lrg"></graphic></fig><fig id="f0025"><label>Fig. 4b</label><caption><p>Bayesian skyline plot (BSP) showing the changes in basic reproductive number of MERS-CoV across time in d: Confirmed cases in Western region, e: Eastern region baseline and f: Confirmed cases in Eastern region. The dashed black line indicates the median of R values estimated from the Poisson regression model. The gray shading indicates the 95% CI of the estimated R.</p></caption><graphic xlink:href="gr4b_lrg"></graphic></fig></p></sec><sec id="s0045"><label>4</label><title>Discussion</title><p id="p0085">Results of the current Real Time Bayesian SIR model suggest a subcritical MERS-CoV epidemic in Saudi Arabia, as estimated by the reproductive number to be less than one. Subsequently, a self-sustaining epidemic cannot be established in humans, which would agree with the findings of other studies (<xref rid="b0030" ref-type="bibr">Breban et al., 2013</xref>, <xref rid="b0125" ref-type="bibr">Poletto et al., 2014</xref>). The potential outbreak of MERS-CoV in the period between March to May 2014 could be interpreted by the paucity of data about the index cases and subsequent waves of infections. Moreover, other possibilities must be included such as as seasonal variations and their correlation with zoonotic origins like infections in camels (<xref rid="b0150" ref-type="bibr">Sharif-Yakan and Kanj, 2014</xref>). However, the low rate of daily, sporadic MERS cases diminished the possibility of zoonotic infection and indicated a more likelihood of inter-human transmissibility that is plausible with data reported elsewhere (<xref rid="b0030" ref-type="bibr">Breban et al., 2013</xref>). The limited human-to-human transmission has been reported due to the variations of MERS-CoV receptors in the human upper and lower respiratory tract (<xref rid="b0135" ref-type="bibr">Raj et al., 2014a</xref>, <xref rid="b0140" ref-type="bibr">Raj et al., 2014b</xref>). Furthermore, a potentially low respiratory disease could evolve in patients lacking considerable co-morbidities (<xref rid="b0135" ref-type="bibr">Raj et al., 2014a</xref>, <xref rid="b0140" ref-type="bibr">Raj et al., 2014b</xref>).</p><p id="p0090">The highest incidence of MERS-CoV cases was detected in western and central region followed by eastern regions. MERS incidence was found insignificant in both northern and southern regions. Several factors like contact frequency, virus shedding, hospital procedures, population composition and density (<xref rid="b0055" ref-type="bibr">Drosten et al., 2015</xref>) may lead to the higher incidence of cases in different regions. Therefore, the higher population density in the significant regions could be considered as a potential reason for high MERS-CoV incidence.</p><p id="p0095">The CI calculated for the reproductive number was found varying considerably across the studied period in the regions undergone sensitivity analysis, beginning with a wider CI and ending with a significantly narrower CI. Reduced CI in terms of time indicated more related secondary cases rather than sporadic case incidences. The current data suggested the less likelihood of external sources as zoonotic intermediates to participate in MERS-CoV spread dynamics. Current finding contradicted the results of Paletto, et al. (2014) who stated that the CI for the estimated R was steady along the variations in the data interpretation. The discrepancy might be owing to the fact that the current study was restricted to MERS-CoV cases in Saudi Arabia rather than the Middle East region. Moreover, the variation of the baseline scenario estimates (up to R = 0.97) with sensitivity analysis values (up to R = 1.12) were interpreted by the insignificant contribution of zoonotic transmissions to the MERS-CoV outbreak. However, the impact of sporadic cases on the epidemic level of MERS-CoV over the threshold limit (R > 1) was observed in both central and western regions. The finding of current study supported the data from previous study that animal contact was an uncommon cause for MERS-CoV in the detected cases (<xref rid="b0100" ref-type="bibr">Memish et al., 2015</xref>). Some studies reported mild MERS cases and other reported a broad spectrum of clinical disease (<xref rid="b0015" ref-type="bibr">Assiri et al., 2013</xref>). The present study might have a selection bias towards symptomatic cases. However, mild/asymptomatic cases, if detected, might lead to different spread patterns of MERS-CoV. Screening programs for earlier detection of MERS-CoV silent infection could relate the sporadic cases to their index cases, which could affect directly the estimation of the probable waves of MERS-CoV infection (<xref rid="b0165" ref-type="bibr">Widagdo et al., 2017)</xref>. Moreover, it could aid in mapping of the primary cases destination as well as the high MERS-CoV incidence regions. Hence, traceability of MERS-CoV could be enhanced that might support the convenient control measures. The second possibility is that these asymptomatic patients, if observed, could reveal the factors other than inter-human transmission that affect the MERS-CoV spread pattern, since some previous studies reported dromedary camels as a potential intermediate host for MERS-CoV (<xref rid="b0060" ref-type="bibr">Haagmans et al., 2014</xref>, <xref rid="b0135" ref-type="bibr">Raj et al., 2014a</xref>, <xref rid="b0140" ref-type="bibr">Raj et al., 2014b</xref>).</p><p id="p0100">The present study reported the highest R values (<xref rid="t0010" ref-type="table">Table 2</xref>) ever observed for MERS-CoV, however other studies reported R of up to 0.73 (<xref rid="b0085" ref-type="bibr">Kucharski and Edmunds, 2015</xref>), 0.69 (<xref rid="b0030" ref-type="bibr">Breban et al., 2013</xref>, <xref rid="b0125" ref-type="bibr">Poletto et al., 2014</xref>) and 0.63 (<xref rid="b0035" ref-type="bibr">Cauchemez et al., 2014</xref>). The probable reasons for the surge of R value in the current study could be the absence of a vaccine or a treatment, besides the inefficient control measures in health care centers and hospitals as most of the observed cases were documented to be inter- and intra-hospital transmissions (<xref rid="b0055" ref-type="bibr">Drosten et al., 2015</xref>, <xref rid="b0120" ref-type="bibr">Oboho et al., 2015</xref>). Furthermore, <xref rid="b0035" ref-type="bibr">Cauchemez et al. (2014)</xref> mentioned that R<sub>0</sub> could range from 0.8 to 1.3 in the absence of the infection control measures. The results of current study are in agreement with the findings of <xref rid="b0035" ref-type="bibr">Cauchemez et al. (2014)</xref>. A study in South Korea (<xref rid="b0080" ref-type="bibr">Kucharski and Althaus, 2015</xref>) highlighted the risk of super-spreading events of MERS-CoV infection with relatively low basic reproductive number (R = 0.47) and should be considered as warning for future outbreak events in Saudi Arabia with the prediction of relatively higher R value. Therefore, future tracking of infections would add value to our understanding of viral transmissibility pattern as well as contracting the CIs around the R<sub>0</sub> value. 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