Analysis of the Dynamics of SI-SI-SEIR Avian Influenza A(H7N9) Epidemic Model with Re-infection

Analysis of the Dynamics of SI-SI-SEIR Avian Influenza A(H7N9) Epidemic Model with Re-infection

The spread of Avian influenza in Asia, Europe and Africa ever since its emergence in 2003, has been endemic in many countries. In this study, a non-linear SI-SI-SEIR Mathematical model with re-infection as a result of continuous contact with both infected poultry from farm and market is proposed. Lo...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Earthline Journal of Mathematical Sciences 2020-07, p.43-73
Hauptverfasser: Bada, Oluwafemi I., Oke, Abayomi S., Mutuku, Winfred N., Aye, Patrick O.
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 73
container_issue
container_start_page 43
container_title Earthline Journal of Mathematical Sciences
container_volume
creator Bada, Oluwafemi I.
Oke, Abayomi S.
Mutuku, Winfred N.
Aye, Patrick O.
description The spread of Avian influenza in Asia, Europe and Africa ever since its emergence in 2003, has been endemic in many countries. In this study, a non-linear SI-SI-SEIR Mathematical model with re-infection as a result of continuous contact with both infected poultry from farm and market is proposed. Local and global stability of the three equilibrium points are established and numerical simulations are used to validate the results.
doi_str_mv 10.34198/ejms.5121.4373
format Article
fullrecord <record><control><sourceid>crossref</sourceid><recordid>TN_cdi_crossref_primary_10_34198_ejms_5121_4373</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_34198_ejms_5121_4373</sourcerecordid><originalsourceid>FETCH-LOGICAL-c863-1d17013f3da044c4a4768b63a94d56294af2fac18bd10fceaf12eb2d1c9ec1763</originalsourceid><addsrcrecordid>eNpNkM9LwzAcxYMoOObOXnPUQ7t8mzRtj2XWrTAV5u4hzQ8WadPRTKX-9drpQXjw3oPHO3wQugUSUwZFvjRvXYhTSCBmNKMXaJakOUQ5sOzyX75GixBcQxjnwCknMyRKL9sxuIB7i08Hgx9GLzunzv21jiZV9Q6XH056XHvbvhv_JXF5t8mei3tcHZ02P3v81GvT4k93OuCdiZy3Rp1c72_QlZVtMIs_n6P9Y7VfbaLty7peldtI5ZxGoCEjQC3VkjCmmGQZzxtOZcF0ypOCSZtYqSBvNBCrjLSQmCbRoAqjION0jpa_t2roQxiMFcfBdXIYBRBxJiQmQmIiJCZC9BtR8Fic</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Analysis of the Dynamics of SI-SI-SEIR Avian Influenza A(H7N9) Epidemic Model with Re-infection</title><source>EZB-FREE-00999 freely available EZB journals</source><creator>Bada, Oluwafemi I. ; Oke, Abayomi S. ; Mutuku, Winfred N. ; Aye, Patrick O.</creator><creatorcontrib>Bada, Oluwafemi I. ; Oke, Abayomi S. ; Mutuku, Winfred N. ; Aye, Patrick O.</creatorcontrib><description>The spread of Avian influenza in Asia, Europe and Africa ever since its emergence in 2003, has been endemic in many countries. In this study, a non-linear SI-SI-SEIR Mathematical model with re-infection as a result of continuous contact with both infected poultry from farm and market is proposed. Local and global stability of the three equilibrium points are established and numerical simulations are used to validate the results.</description><identifier>ISSN: 2581-8147</identifier><identifier>EISSN: 2581-8147</identifier><identifier>DOI: 10.34198/ejms.5121.4373</identifier><language>eng</language><ispartof>Earthline Journal of Mathematical Sciences, 2020-07, p.43-73</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c863-1d17013f3da044c4a4768b63a94d56294af2fac18bd10fceaf12eb2d1c9ec1763</citedby><cites>FETCH-LOGICAL-c863-1d17013f3da044c4a4768b63a94d56294af2fac18bd10fceaf12eb2d1c9ec1763</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Bada, Oluwafemi I.</creatorcontrib><creatorcontrib>Oke, Abayomi S.</creatorcontrib><creatorcontrib>Mutuku, Winfred N.</creatorcontrib><creatorcontrib>Aye, Patrick O.</creatorcontrib><title>Analysis of the Dynamics of SI-SI-SEIR Avian Influenza A(H7N9) Epidemic Model with Re-infection</title><title>Earthline Journal of Mathematical Sciences</title><description>The spread of Avian influenza in Asia, Europe and Africa ever since its emergence in 2003, has been endemic in many countries. In this study, a non-linear SI-SI-SEIR Mathematical model with re-infection as a result of continuous contact with both infected poultry from farm and market is proposed. Local and global stability of the three equilibrium points are established and numerical simulations are used to validate the results.</description><issn>2581-8147</issn><issn>2581-8147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNpNkM9LwzAcxYMoOObOXnPUQ7t8mzRtj2XWrTAV5u4hzQ8WadPRTKX-9drpQXjw3oPHO3wQugUSUwZFvjRvXYhTSCBmNKMXaJakOUQ5sOzyX75GixBcQxjnwCknMyRKL9sxuIB7i08Hgx9GLzunzv21jiZV9Q6XH056XHvbvhv_JXF5t8mei3tcHZ02P3v81GvT4k93OuCdiZy3Rp1c72_QlZVtMIs_n6P9Y7VfbaLty7peldtI5ZxGoCEjQC3VkjCmmGQZzxtOZcF0ypOCSZtYqSBvNBCrjLSQmCbRoAqjION0jpa_t2roQxiMFcfBdXIYBRBxJiQmQmIiJCZC9BtR8Fic</recordid><startdate>20200722</startdate><enddate>20200722</enddate><creator>Bada, Oluwafemi I.</creator><creator>Oke, Abayomi S.</creator><creator>Mutuku, Winfred N.</creator><creator>Aye, Patrick O.</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20200722</creationdate><title>Analysis of the Dynamics of SI-SI-SEIR Avian Influenza A(H7N9) Epidemic Model with Re-infection</title><author>Bada, Oluwafemi I. ; Oke, Abayomi S. ; Mutuku, Winfred N. ; Aye, Patrick O.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c863-1d17013f3da044c4a4768b63a94d56294af2fac18bd10fceaf12eb2d1c9ec1763</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><toplevel>online_resources</toplevel><creatorcontrib>Bada, Oluwafemi I.</creatorcontrib><creatorcontrib>Oke, Abayomi S.</creatorcontrib><creatorcontrib>Mutuku, Winfred N.</creatorcontrib><creatorcontrib>Aye, Patrick O.</creatorcontrib><collection>CrossRef</collection><jtitle>Earthline Journal of Mathematical Sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bada, Oluwafemi I.</au><au>Oke, Abayomi S.</au><au>Mutuku, Winfred N.</au><au>Aye, Patrick O.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analysis of the Dynamics of SI-SI-SEIR Avian Influenza A(H7N9) Epidemic Model with Re-infection</atitle><jtitle>Earthline Journal of Mathematical Sciences</jtitle><date>2020-07-22</date><risdate>2020</risdate><spage>43</spage><epage>73</epage><pages>43-73</pages><issn>2581-8147</issn><eissn>2581-8147</eissn><abstract>The spread of Avian influenza in Asia, Europe and Africa ever since its emergence in 2003, has been endemic in many countries. In this study, a non-linear SI-SI-SEIR Mathematical model with re-infection as a result of continuous contact with both infected poultry from farm and market is proposed. Local and global stability of the three equilibrium points are established and numerical simulations are used to validate the results.</abstract><doi>10.34198/ejms.5121.4373</doi><tpages>31</tpages></addata></record>
fulltext fulltext
identifier ISSN: 2581-8147
ispartof Earthline Journal of Mathematical Sciences, 2020-07, p.43-73
issn 2581-8147
2581-8147
language eng
recordid cdi_crossref_primary_10_34198_ejms_5121_4373
source EZB-FREE-00999 freely available EZB journals
title Analysis of the Dynamics of SI-SI-SEIR Avian Influenza A(H7N9) Epidemic Model with Re-infection
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-20T09%3A05%3A34IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Analysis%20of%20the%20Dynamics%20of%20SI-SI-SEIR%20Avian%20Influenza%20A(H7N9)%20Epidemic%20Model%20with%20Re-infection&rft.jtitle=Earthline%20Journal%20of%20Mathematical%20Sciences&rft.au=Bada,%20Oluwafemi%20I.&rft.date=2020-07-22&rft.spage=43&rft.epage=73&rft.pages=43-73&rft.issn=2581-8147&rft.eissn=2581-8147&rft_id=info:doi/10.34198/ejms.5121.4373&rft_dat=%3Ccrossref%3E10_34198_ejms_5121_4373%3C/crossref%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true