Effects of limited medical resource on a Filippov infectious disease model induced by selection pressure
Identifieur interne : 003E20 ( Ncbi/Merge ); précédent : 003E19; suivant : 003E21Effects of limited medical resource on a Filippov infectious disease model induced by selection pressure
Auteurs : Wenjie Qin [République populaire de Chine] ; Sanyi Tang [République populaire de Chine] ; Changcheng Xiang [République populaire de Chine] ; Yali Yang [République populaire de Chine]Source :
- Applied Mathematics and Computation [ 0096-3003 ] ; 2016.
Abstract
We develop a Filippov infectious disease model with limited resources and selection pressures. Sliding mode dynamics and its domain have been investigated. Sliding bifurcations of model have been revealed in more detail. Key parameters and their biological significance are determined. Strategies for the prevention of emerging infectious disease have been addressed.
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DOI: 10.1016/j.amc.2016.02.042
PubMed: NONE
PubMed Central: 7126627
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<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Effects of limited medical resource on a Filippov infectious disease model induced by selection pressure</title><author><name sortKey="Qin, Wenjie" sort="Qin, Wenjie" uniqKey="Qin W" first="Wenjie" last="Qin">Wenjie Qin</name><affiliation wicri:level="1"><nlm:aff id="aff0001">College of Science, China Three Gorges University, Yichang 443002, PR China</nlm:aff><country xml:lang="fr">République populaire de Chine</country><wicri:regionArea>College of Science, China Three Gorges University, Yichang 443002</wicri:regionArea><wicri:noRegion>Yichang 443002</wicri:noRegion></affiliation></author><author><name sortKey="Tang, Sanyi" sort="Tang, Sanyi" uniqKey="Tang S" first="Sanyi" last="Tang">Sanyi Tang</name><affiliation wicri:level="1"><nlm:aff id="aff0002">College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, PR China</nlm:aff><country xml:lang="fr">République populaire de 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xml:lang="fr">République populaire de Chine</country><wicri:regionArea>College of Science, Air Force Engineering University, Xi’an 710051</wicri:regionArea><wicri:noRegion>Xi’an 710051</wicri:noRegion></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">PMC</idno><idno type="pmc">7126627</idno><idno type="url">http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7126627</idno><idno type="RBID">PMC:7126627</idno><idno type="doi">10.1016/j.amc.2016.02.042</idno><idno type="pmid">NONE</idno><date when="2016">2016</date><idno type="wicri:Area/Pmc/Corpus">000E02</idno><idno type="wicri:explorRef" wicri:stream="Pmc" wicri:step="Corpus" wicri:corpus="PMC">000E02</idno><idno type="wicri:Area/Pmc/Curation">000E02</idno><idno type="wicri:explorRef" wicri:stream="Pmc" wicri:step="Curation">000E02</idno><idno type="wicri:Area/Pmc/Checkpoint">000715</idno><idno type="wicri:explorRef" wicri:stream="Pmc" wicri:step="Checkpoint">000715</idno><idno type="wicri:Area/Ncbi/Merge">003E20</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a" type="main">Effects of limited medical resource on a Filippov infectious disease model induced by selection pressure</title><author><name sortKey="Qin, Wenjie" sort="Qin, Wenjie" uniqKey="Qin W" first="Wenjie" last="Qin">Wenjie Qin</name><affiliation wicri:level="1"><nlm:aff id="aff0001">College of Science, China Three Gorges University, Yichang 443002, PR China</nlm:aff><country xml:lang="fr">République populaire de Chine</country><wicri:regionArea>College of Science, China Three Gorges University, Yichang 443002</wicri:regionArea><wicri:noRegion>Yichang 443002</wicri:noRegion></affiliation></author><author><name sortKey="Tang, Sanyi" sort="Tang, Sanyi" uniqKey="Tang S" first="Sanyi" last="Tang">Sanyi Tang</name><affiliation wicri:level="1"><nlm:aff id="aff0002">College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, PR China</nlm:aff><country xml:lang="fr">République populaire de Chine</country><wicri:regionArea>College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062</wicri:regionArea><wicri:noRegion>Xi’an 710062</wicri:noRegion></affiliation></author><author><name sortKey="Xiang, Changcheng" sort="Xiang, Changcheng" uniqKey="Xiang C" first="Changcheng" last="Xiang">Changcheng Xiang</name><affiliation wicri:level="1"><nlm:aff id="aff0003">Department of Mathematics, Hubei University for Nationalities, Enshi 445000, PR China</nlm:aff><country xml:lang="fr">République populaire de Chine</country><wicri:regionArea>Department of Mathematics, Hubei University for Nationalities, Enshi 445000</wicri:regionArea><wicri:noRegion>Enshi 445000</wicri:noRegion></affiliation></author><author><name sortKey="Yang, Yali" sort="Yang, Yali" uniqKey="Yang Y" first="Yali" last="Yang">Yali Yang</name><affiliation wicri:level="1"><nlm:aff id="aff0004">College of Science, Air Force Engineering University, Xi’an 710051, PR China</nlm:aff><country xml:lang="fr">République populaire de Chine</country><wicri:regionArea>College of Science, Air Force Engineering University, Xi’an 710051</wicri:regionArea><wicri:noRegion>Xi’an 710051</wicri:noRegion></affiliation></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="2016">2016</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><title>Highlights</title><p><list list-type="simple" id="celist0003"><list-item id="celistitem0001"><label>•</label><p id="para0001">We develop a Filippov infectious disease model with limited resources and selection pressures.</p></list-item><list-item id="celistitem0002"><label>•</label><p id="para0002">Sliding mode dynamics and its domain have been investigated.</p></list-item><list-item id="celistitem0003"><label>•</label><p id="para0003">Sliding bifurcations of model have been revealed in more detail.</p></list-item><list-item id="celistitem0004"><label>•</label><p id="para0004">Key parameters and their biological significance are determined.</p></list-item><list-item id="celistitem0005"><label>•</label><p id="para0005">Strategies for the prevention of emerging infectious disease have been addressed.</p></list-item></list></p></div></front><back><div1 type="bibliography"><listBibl><biblStruct><analytic><author><name sortKey="Mclean, A R" uniqKey="Mclean A">A.R. 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<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>Elsevier Inc.</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="pmc">7126627</article-id><article-id pub-id-type="publisher-id">S0096-3003(16)30153-9</article-id><article-id pub-id-type="doi">10.1016/j.amc.2016.02.042</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title-group><article-title>Effects of limited medical resource on a Filippov infectious disease model induced by selection pressure</article-title></title-group><contrib-group><contrib contrib-type="author" id="au0001"><name><surname>Qin</surname><given-names>Wenjie</given-names></name><xref rid="aff0001" ref-type="aff">a</xref></contrib><contrib contrib-type="author" id="au0002"><name><surname>Tang</surname><given-names>Sanyi</given-names></name><email>sytang@snnu.edu.cn</email><email>sanyitang219@hotmail.com</email><xref rid="cor0001" ref-type="corresp">*</xref><xref rid="aff0002" ref-type="aff">b</xref></contrib><contrib contrib-type="author" id="au0003"><name><surname>Xiang</surname><given-names>Changcheng</given-names></name><xref rid="aff0003" ref-type="aff">c</xref></contrib><contrib contrib-type="author" id="au0004"><name><surname>Yang</surname><given-names>Yali</given-names></name><xref rid="aff0004" ref-type="aff">d</xref></contrib></contrib-group><aff id="aff0001"><label>a</label>College of Science, China Three Gorges University, Yichang 443002, PR China</aff><aff id="aff0002"><label>b</label>College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, PR China</aff><aff id="aff0003"><label>c</label>Department of Mathematics, Hubei University for Nationalities, Enshi 445000, PR China</aff><aff id="aff0004"><label>d</label>College of Science, Air Force Engineering University, Xi’an 710051, PR China</aff><author-notes><corresp id="cor0001"><label>*</label>Corresponding author. Tel.: +86 29 85310232. <email>sytang@snnu.edu.cn</email><email>sanyitang219@hotmail.com</email></corresp></author-notes><pub-date pub-type="pmc-release"><day>22</day><month>3</month><year>2016</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>20</day><month>6</month><year>2016</year></pub-date><pub-date pub-type="epub"><day>22</day><month>3</month><year>2016</year></pub-date><volume>283</volume><fpage>339</fpage><lpage>354</lpage><history><date date-type="received"><day>11</day><month>9</month><year>2015</year></date><date date-type="rev-recd"><day>26</day><month>11</month><year>2015</year></date><date date-type="accepted"><day>21</day><month>2</month><year>2016</year></date></history><permissions><copyright-statement>Copyright © 2016 Elsevier Inc. All rights reserved.</copyright-statement><copyright-year>2016</copyright-year><copyright-holder>Elsevier Inc.</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 abstract-type="author-highlights" id="absh001"><title>Highlights</title><p><list list-type="simple" id="celist0003"><list-item id="celistitem0001"><label>•</label><p id="para0001">We develop a Filippov infectious disease model with limited resources and selection pressures.</p></list-item><list-item id="celistitem0002"><label>•</label><p id="para0002">Sliding mode dynamics and its domain have been investigated.</p></list-item><list-item id="celistitem0003"><label>•</label><p id="para0003">Sliding bifurcations of model have been revealed in more detail.</p></list-item><list-item id="celistitem0004"><label>•</label><p id="para0004">Key parameters and their biological significance are determined.</p></list-item><list-item id="celistitem0005"><label>•</label><p id="para0005">Strategies for the prevention of emerging infectious disease have been addressed.</p></list-item></list></p></abstract><abstract id="abs0001"><p>In reality, the outbreak of emerging infectious diseases including SARS, A/H1N1 and Ebola are accompanied by the common cold and flu. The selective treatment measure for mitigating and controlling the emerging infectious diseases should be implemented due to limited medical resources. However, how to determine the threshold infected cases and when to implement the selective treatment tactics are crucial for disease control. To address this, we derive a non-smooth Filippov system induced by selective treatment measure. The dynamic behaviors of two subsystems have been discussed completely, and the existence conditions for sliding segment, sliding mode dynamics and different types of equilibria such as regular equilibrium, pseudo-equilibrium, boundary equilibrium and tangent point have been provided. Further, numerical sliding bifurcation analyses show that the proposed Filippov system has rich sliding bifurcations. Especially, the most interesting results are those for the fixed parameter set as the bifurcation parameter varies, the sliding bifurcations occur sequentially: crossing → buckling → real/virtual equilibrium → buckling → crossing. The key factors which affect the selective treatment measures and the threshold value of infected cases for emerging infectious disease have been discussed in more detail.</p></abstract><kwd-group id="keys0001"><title>Keywords</title><kwd>Filippov infectious disease model</kwd><kwd>Selective strategy</kwd><kwd>Medical resources limitation</kwd><kwd>Threshold policy</kwd><kwd>Sliding bifurcation</kwd></kwd-group></article-meta></front></pmc><affiliations><list><country><li>République populaire de Chine</li></country></list><tree><country name="République populaire de Chine"><noRegion><name sortKey="Qin, Wenjie" sort="Qin, Wenjie" uniqKey="Qin W" first="Wenjie" last="Qin">Wenjie Qin</name></noRegion><name sortKey="Tang, Sanyi" sort="Tang, Sanyi" uniqKey="Tang S" first="Sanyi" last="Tang">Sanyi Tang</name><name sortKey="Xiang, Changcheng" sort="Xiang, Changcheng" uniqKey="Xiang C" first="Changcheng" last="Xiang">Changcheng Xiang</name><name sortKey="Yang, Yali" sort="Yang, Yali" uniqKey="Yang Y" first="Yali" last="Yang">Yali Yang</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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