Numerical study of SARS epidemic model with the inclusion of diffusion in the system
Identifieur interne : 000874 ( Pmc/Checkpoint ); précédent : 000873; suivant : 000875Numerical study of SARS epidemic model with the inclusion of diffusion in the system
Auteurs : Afia Naheed ; Manmohan Singh ; David LucySource :
- Applied Mathematics and Computation [ 0096-3003 ] ; 2014.
Abstract
This paper deals with the numerical study of population model based on the epidemics of Severe Acute Respiratory Syndrome (
Url:
DOI: 10.1016/j.amc.2013.12.062
PubMed: 32287498
PubMed Central: 7112316
Affiliations:
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<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Numerical study of <italic>SARS</italic> epidemic model with the inclusion of diffusion in the system</title><author><name sortKey="Naheed, Afia" sort="Naheed, Afia" uniqKey="Naheed A" first="Afia" last="Naheed">Afia Naheed</name></author><author><name sortKey="Singh, Manmohan" sort="Singh, Manmohan" uniqKey="Singh M" first="Manmohan" last="Singh">Manmohan Singh</name></author><author><name sortKey="Lucy, David" sort="Lucy, David" uniqKey="Lucy D" first="David" last="Lucy">David Lucy</name></author></titleStmt><publicationStmt><idno type="wicri:source">PMC</idno><idno type="pmid">32287498</idno><idno type="pmc">7112316</idno><idno type="url">http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7112316</idno><idno type="RBID">PMC:7112316</idno><idno type="doi">10.1016/j.amc.2013.12.062</idno><date when="2014">2014</date><idno type="wicri:Area/Pmc/Corpus">000E04</idno><idno type="wicri:explorRef" wicri:stream="Pmc" wicri:step="Corpus" wicri:corpus="PMC">000E04</idno><idno type="wicri:Area/Pmc/Curation">000E04</idno><idno type="wicri:explorRef" wicri:stream="Pmc" wicri:step="Curation">000E04</idno><idno type="wicri:Area/Pmc/Checkpoint">000874</idno><idno type="wicri:explorRef" wicri:stream="Pmc" wicri:step="Checkpoint">000874</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a" type="main">Numerical study of <italic>SARS</italic> epidemic model with the inclusion of diffusion in the system</title><author><name sortKey="Naheed, Afia" sort="Naheed, Afia" uniqKey="Naheed A" first="Afia" last="Naheed">Afia Naheed</name></author><author><name sortKey="Singh, Manmohan" sort="Singh, Manmohan" uniqKey="Singh M" first="Manmohan" last="Singh">Manmohan Singh</name></author><author><name sortKey="Lucy, David" sort="Lucy, David" uniqKey="Lucy D" first="David" last="Lucy">David Lucy</name></author></analytic><series><title level="j">Applied Mathematics and Computation</title><idno type="ISSN">0096-3003</idno><idno type="eISSN">0096-3003</idno><imprint><date when="2014">2014</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><p>This paper deals with the numerical study of population model based on the epidemics of Severe Acute Respiratory Syndrome (<italic>SARS</italic>). <italic>SEIJR</italic> (susceptible, exposed, infected, diagnosed, recovered) model of <italic>SARS</italic> epidemic is considered with net in flow of individuals into a region. Transmission of disease is analyzed by solving the system of differential equations using numerical methods with different initial population distributions. The effect of diffusion on the spread of disease is examined. Stability is established for the numerical solutions. Effects of interventions (medical and non medical) are also analyzed.</p></div></front><back><div1 type="bibliography"><listBibl><biblStruct><analytic><author><name sortKey="Anderson, R" uniqKey="Anderson R">R. Anderson</name></author><author><name sortKey="May, R" uniqKey="May R">R. May</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Chakraborty, A" uniqKey="Chakraborty A">A. Chakraborty</name></author><author><name sortKey="Singh, M" uniqKey="Singh M">M. Singh</name></author><author><name sortKey="Lucy, D" uniqKey="Lucy D">D. Lucy</name></author><author><name sortKey="Ridland, P" uniqKey="Ridland P">P. Ridland</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Chakraborty, A" uniqKey="Chakraborty A">A. Chakraborty</name></author><author><name sortKey="Singh, M" uniqKey="Singh M">M. Singh</name></author><author><name sortKey="Ridland, M" uniqKey="Ridland M">M. Ridland</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Chen, W J" uniqKey="Chen W">W.J. Chen</name></author><author><name sortKey="Wu, K C" uniqKey="Wu K">K.C. Wu</name></author><author><name sortKey="Wu, K L" uniqKey="Wu K">K.L. Wu</name></author><author><name sortKey="Lin, M H" uniqKey="Lin M">M.H. Lin</name></author><author><name sortKey="Li, C X" uniqKey="Li C">C.X. Li</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Chowell, G" uniqKey="Chowell G">G. Chowell</name></author><author><name sortKey="Fenimore, P W" uniqKey="Fenimore P">P.W. Fenimore</name></author><author><name sortKey="Castillo Garsow, M A" uniqKey="Castillo Garsow M">M.A. Castillo-Garsow</name></author><author><name sortKey="Castillo Chavez, C" uniqKey="Castillo Chavez C">C. Castillo-Chavez</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Diekmann, O" uniqKey="Diekmann O">O. Diekmann</name></author><author><name sortKey="Heesterbeek, J A P" uniqKey="Heesterbeek J">J.A.P. Heesterbeek</name></author><author><name sortKey="Metz, J A J" uniqKey="Metz J">J.A.J. Metz</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Driessche Van Den, P" uniqKey="Driessche Van Den P">P. Driessche Van den</name></author><author><name sortKey="Watmough, J" uniqKey="Watmough J">J. Watmough</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Dye, C" uniqKey="Dye C">C. Dye</name></author><author><name sortKey="Gay, N" uniqKey="Gay N">N. Gay</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Hethcote, H W" uniqKey="Hethcote H">H.W. Hethcote</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Gumel, Abba B" uniqKey="Gumel A">Abba B. Gumel</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Sapoukhina, N" uniqKey="Sapoukhina N">N. Sapoukhina</name></author><author><name sortKey="Tyutyunov, Y" uniqKey="Tyutyunov Y">Y. Tyutyunov</name></author><author><name sortKey="Arditi, A" uniqKey="Arditi A">A. Arditi</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Samsuzzoha, Md" uniqKey="Samsuzzoha M">Md. Samsuzzoha</name></author><author><name sortKey="Singh, M" uniqKey="Singh M">M. Singh</name></author><author><name sortKey="Lucy, D" uniqKey="Lucy D">D. Lucy</name></author></analytic></biblStruct><biblStruct></biblStruct><biblStruct><analytic><author><name sortKey="Wu, K C" uniqKey="Wu K">K.C. Wu</name></author><author><name sortKey="Wu, K L" uniqKey="Wu K">K.L. Wu</name></author><author><name sortKey="Chen, W J" uniqKey="Chen W">W.J. Chen</name></author><author><name sortKey="Lin, M H" uniqKey="Lin M">M.H. Lin</name></author><author><name sortKey="Li, C X" uniqKey="Li C">C.X. Li</name></author></analytic></biblStruct><biblStruct></biblStruct><biblStruct></biblStruct><biblStruct><analytic><author><name sortKey="Xia, J L" uniqKey="Xia J">J.L. Xia</name></author><author><name sortKey="Yao, C" uniqKey="Yao C">C. Yao</name></author><author><name sortKey="Zhang, G K" uniqKey="Zhang G">G.K. Zhang</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Yanenko, N N" uniqKey="Yanenko N">N.N. Yanenko</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Yang, H" uniqKey="Yang H">H. Yang</name></author><author><name sortKey="Li, X W" uniqKey="Li X">X.W. Li</name></author><author><name sortKey="Shi, H" uniqKey="Shi H">H. Shi</name></author><author><name sortKey="Zhao, K G" uniqKey="Zhao K">K.G. Zhao</name></author><author><name sortKey="Han, L J" uniqKey="Han L">L.J. Han</name></author></analytic></biblStruct></listBibl></div1></back></TEI><pmc article-type="research-article"><pmc-dir>properties open_access</pmc-dir>
<front><journal-meta><journal-id journal-id-type="nlm-ta">Appl Math Comput</journal-id><journal-id journal-id-type="iso-abbrev">Appl Math Comput</journal-id><journal-title-group><journal-title>Applied Mathematics and Computation</journal-title></journal-title-group><issn pub-type="ppub">0096-3003</issn><issn pub-type="epub">0096-3003</issn><publisher><publisher-name>Published by Elsevier Inc.</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="pmid">32287498</article-id><article-id pub-id-type="pmc">7112316</article-id><article-id pub-id-type="publisher-id">S0096-3003(13)01345-3</article-id><article-id pub-id-type="doi">10.1016/j.amc.2013.12.062</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title-group><article-title>Numerical study of <italic>SARS</italic> epidemic model with the inclusion of diffusion in the system</article-title></title-group><contrib-group><contrib contrib-type="author" id="au005"><name><surname>Naheed</surname><given-names>Afia</given-names></name><email>anaheed@swin.edu.au</email><xref rid="cor1" ref-type="corresp">⁎</xref></contrib><contrib contrib-type="author" id="au010"><name><surname>Singh</surname><given-names>Manmohan</given-names></name></contrib><contrib contrib-type="author" id="au015"><name><surname>Lucy</surname><given-names>David</given-names></name></contrib></contrib-group><aff id="af005">Mathematics Discipline, Faculty of Engineering and Industrial Sciences, Swinburne University of Technology, Hawthorn, Victoria 3122, Australia</aff><author-notes><corresp id="cor1"><label>⁎</label>Corresponding author. <email>anaheed@swin.edu.au</email></corresp></author-notes><pub-date pub-type="pmc-release"><day>17</day><month>1</month><year>2014</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"><day>25</day><month>2</month><year>2014</year></pub-date><pub-date pub-type="epub"><day>17</day><month>1</month><year>2014</year></pub-date><volume>229</volume><fpage>480</fpage><lpage>498</lpage><permissions><copyright-statement>Crown copyright © 2013 Published by Elsevier Inc. All rights reserved.</copyright-statement><copyright-year>2013</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>This paper deals with the numerical study of population model based on the epidemics of Severe Acute Respiratory Syndrome (<italic>SARS</italic>). <italic>SEIJR</italic> (susceptible, exposed, infected, diagnosed, recovered) model of <italic>SARS</italic> epidemic is considered with net in flow of individuals into a region. Transmission of disease is analyzed by solving the system of differential equations using numerical methods with different initial population distributions. The effect of diffusion on the spread of disease is examined. Stability is established for the numerical solutions. Effects of interventions (medical and non medical) are also analyzed.</p></abstract><kwd-group id="kg005"><title>Keywords</title><kwd>Diffusion</kwd><kwd>Infectious disease</kwd><kwd>Initial condition</kwd><kwd>Mathematical modeling</kwd><kwd>Reproduction number</kwd><kwd><italic>SARS</italic></kwd><kwd>Splitting method</kwd></kwd-group></article-meta></front></pmc><affiliations><list></list><tree><noCountry><name sortKey="Lucy, David" sort="Lucy, David" uniqKey="Lucy D" first="David" last="Lucy">David Lucy</name><name sortKey="Naheed, Afia" sort="Naheed, Afia" uniqKey="Naheed A" first="Afia" last="Naheed">Afia Naheed</name><name sortKey="Singh, Manmohan" sort="Singh, Manmohan" uniqKey="Singh M" first="Manmohan" last="Singh">Manmohan Singh</name></noCountry></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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