On the dynamics of dengue virus type 2 with residence times and vertical transmission
A two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors' vertical transmission and between patches human dispersal is introduced. Dispersal is modelled via a Lagrangian approach. A host-patch residence-times basic reproduction number is derived and conditions un...
Gespeichert in:
| Veröffentlicht in: | Letters in biomathematics 2016-01, Vol.3 (1), p.140-160 |
|---|---|
| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 160 |
|---|---|
| container_issue | 1 |
| container_start_page | 140 |
| container_title | Letters in biomathematics |
| container_volume | 3 |
| creator | Bichara, Derdei Holechek, Susan A. Velázquez-Castro, Jorge Murillo, Anarina L. Castillo-Chavez, Carlos |
| description | A two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors' vertical transmission and between patches human dispersal is introduced. Dispersal is modelled via a Lagrangian approach. A host-patch residence-times basic reproduction number is derived and conditions under which the disease dies out or persists are established. Analytical and numerical results highlight the role of hosts' dispersal in mitigating or exacerbating disease dynamics. The framework is used to explore dengue dynamics using, as a starting point, the 2002 outbreak in the state of Colima, Mexico. |
| doi_str_mv | 10.1080/23737867.2016.1212678 |
| format | Article |
| fullrecord | <record><control><sourceid>doaj_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1080_23737867_2016_1212678</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><doaj_id>oai_doaj_org_article_f3d304a05c704fd5b9b932de298b2590</doaj_id><sourcerecordid>oai_doaj_org_article_f3d304a05c704fd5b9b932de298b2590</sourcerecordid><originalsourceid>FETCH-LOGICAL-c3388-494857b595c48b357f514c1d0a7735b3e5e93ae9ccf3938b5df7252755631d3b3</originalsourceid><addsrcrecordid>eNp9kNtKAzEQhhdRsGgfQcgLbE0ym01ypxRPUPBGr0M2hzZld1OSbUvf3q6t4pVXM8zP_zF8RXFH8Ixgge8pcOCi5jOKST0jlNCai4tiMt7LMbj8s18X05zXGGNS1XUFMCk-33s0rByyh153wWQUPbKuX24d2oW0zWg4bByiaB-GFUouh2NoHBpC5zLSvUU7l4ZgdIuGpPvchZxD7G-LK6_b7KbneVN8Pj99zF_LxfvL2_xxURoAIcpKVoLxhklmKtEA456RyhCLNefAGnDMSdBOGuNBgmiY9ZwyyhmrgVho4KZ4O3Ft1Gu1SaHT6aCiDur7ENNS6fG91ikPFnClMTMcV96yRjYSqHVUioYyiY8sdmKZFHNOzv_yCFajavWjWo2q1Vn1sfdw6oXex9TpfUytVYM-tDH5oxMTsoL_EV_J04RT</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On the dynamics of dengue virus type 2 with residence times and vertical transmission</title><source>DOAJ Directory of Open Access Journals</source><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><creator>Bichara, Derdei ; Holechek, Susan A. ; Velázquez-Castro, Jorge ; Murillo, Anarina L. ; Castillo-Chavez, Carlos</creator><creatorcontrib>Bichara, Derdei ; Holechek, Susan A. ; Velázquez-Castro, Jorge ; Murillo, Anarina L. ; Castillo-Chavez, Carlos</creatorcontrib><description>A two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors' vertical transmission and between patches human dispersal is introduced. Dispersal is modelled via a Lagrangian approach. A host-patch residence-times basic reproduction number is derived and conditions under which the disease dies out or persists are established. Analytical and numerical results highlight the role of hosts' dispersal in mitigating or exacerbating disease dynamics. The framework is used to explore dengue dynamics using, as a starting point, the 2002 outbreak in the state of Colima, Mexico.</description><identifier>ISSN: 2373-7867</identifier><identifier>EISSN: 2373-7867</identifier><identifier>DOI: 10.1080/23737867.2016.1212678</identifier><language>eng</language><publisher>Taylor & Francis</publisher><subject>dengue ; DENV-2 Asian genotype ; global stability ; multi-patch model ; residence times ; Vector-borne diseases</subject><ispartof>Letters in biomathematics, 2016-01, Vol.3 (1), p.140-160</ispartof><rights>2016 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group 2016</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3388-494857b595c48b357f514c1d0a7735b3e5e93ae9ccf3938b5df7252755631d3b3</citedby><cites>FETCH-LOGICAL-c3388-494857b595c48b357f514c1d0a7735b3e5e93ae9ccf3938b5df7252755631d3b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,864,2102,27924,27925</link.rule.ids></links><search><creatorcontrib>Bichara, Derdei</creatorcontrib><creatorcontrib>Holechek, Susan A.</creatorcontrib><creatorcontrib>Velázquez-Castro, Jorge</creatorcontrib><creatorcontrib>Murillo, Anarina L.</creatorcontrib><creatorcontrib>Castillo-Chavez, Carlos</creatorcontrib><title>On the dynamics of dengue virus type 2 with residence times and vertical transmission</title><title>Letters in biomathematics</title><description>A two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors' vertical transmission and between patches human dispersal is introduced. Dispersal is modelled via a Lagrangian approach. A host-patch residence-times basic reproduction number is derived and conditions under which the disease dies out or persists are established. Analytical and numerical results highlight the role of hosts' dispersal in mitigating or exacerbating disease dynamics. The framework is used to explore dengue dynamics using, as a starting point, the 2002 outbreak in the state of Colima, Mexico.</description><subject>dengue</subject><subject>DENV-2 Asian genotype</subject><subject>global stability</subject><subject>multi-patch model</subject><subject>residence times</subject><subject>Vector-borne diseases</subject><issn>2373-7867</issn><issn>2373-7867</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>0YH</sourceid><sourceid>DOA</sourceid><recordid>eNp9kNtKAzEQhhdRsGgfQcgLbE0ym01ypxRPUPBGr0M2hzZld1OSbUvf3q6t4pVXM8zP_zF8RXFH8Ixgge8pcOCi5jOKST0jlNCai4tiMt7LMbj8s18X05zXGGNS1XUFMCk-33s0rByyh153wWQUPbKuX24d2oW0zWg4bByiaB-GFUouh2NoHBpC5zLSvUU7l4ZgdIuGpPvchZxD7G-LK6_b7KbneVN8Pj99zF_LxfvL2_xxURoAIcpKVoLxhklmKtEA456RyhCLNefAGnDMSdBOGuNBgmiY9ZwyyhmrgVho4KZ4O3Ft1Gu1SaHT6aCiDur7ENNS6fG91ikPFnClMTMcV96yRjYSqHVUioYyiY8sdmKZFHNOzv_yCFajavWjWo2q1Vn1sfdw6oXex9TpfUytVYM-tDH5oxMTsoL_EV_J04RT</recordid><startdate>20160101</startdate><enddate>20160101</enddate><creator>Bichara, Derdei</creator><creator>Holechek, Susan A.</creator><creator>Velázquez-Castro, Jorge</creator><creator>Murillo, Anarina L.</creator><creator>Castillo-Chavez, Carlos</creator><general>Taylor & Francis</general><general>Intercollegiate Biomathematics Alliance</general><scope>0YH</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>DOA</scope></search><sort><creationdate>20160101</creationdate><title>On the dynamics of dengue virus type 2 with residence times and vertical transmission</title><author>Bichara, Derdei ; Holechek, Susan A. ; Velázquez-Castro, Jorge ; Murillo, Anarina L. ; Castillo-Chavez, Carlos</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3388-494857b595c48b357f514c1d0a7735b3e5e93ae9ccf3938b5df7252755631d3b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>dengue</topic><topic>DENV-2 Asian genotype</topic><topic>global stability</topic><topic>multi-patch model</topic><topic>residence times</topic><topic>Vector-borne diseases</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bichara, Derdei</creatorcontrib><creatorcontrib>Holechek, Susan A.</creatorcontrib><creatorcontrib>Velázquez-Castro, Jorge</creatorcontrib><creatorcontrib>Murillo, Anarina L.</creatorcontrib><creatorcontrib>Castillo-Chavez, Carlos</creatorcontrib><collection>Taylor & Francis Open Access</collection><collection>CrossRef</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>Letters in biomathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bichara, Derdei</au><au>Holechek, Susan A.</au><au>Velázquez-Castro, Jorge</au><au>Murillo, Anarina L.</au><au>Castillo-Chavez, Carlos</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the dynamics of dengue virus type 2 with residence times and vertical transmission</atitle><jtitle>Letters in biomathematics</jtitle><date>2016-01-01</date><risdate>2016</risdate><volume>3</volume><issue>1</issue><spage>140</spage><epage>160</epage><pages>140-160</pages><issn>2373-7867</issn><eissn>2373-7867</eissn><abstract>A two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors' vertical transmission and between patches human dispersal is introduced. Dispersal is modelled via a Lagrangian approach. A host-patch residence-times basic reproduction number is derived and conditions under which the disease dies out or persists are established. Analytical and numerical results highlight the role of hosts' dispersal in mitigating or exacerbating disease dynamics. The framework is used to explore dengue dynamics using, as a starting point, the 2002 outbreak in the state of Colima, Mexico.</abstract><pub>Taylor & Francis</pub><doi>10.1080/23737867.2016.1212678</doi><tpages>21</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2373-7867 |
| ispartof | Letters in biomathematics, 2016-01, Vol.3 (1), p.140-160 |
| issn | 2373-7867 2373-7867 |
| language | eng |
| recordid | cdi_crossref_primary_10_1080_23737867_2016_1212678 |
| source | DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | dengue DENV-2 Asian genotype global stability multi-patch model residence times Vector-borne diseases |
| title | On the dynamics of dengue virus type 2 with residence times and vertical transmission |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-19T10%3A03%3A36IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-doaj_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20dynamics%20of%20dengue%20virus%20type%202%20with%20residence%20times%20and%20vertical%20transmission&rft.jtitle=Letters%20in%20biomathematics&rft.au=Bichara,%20Derdei&rft.date=2016-01-01&rft.volume=3&rft.issue=1&rft.spage=140&rft.epage=160&rft.pages=140-160&rft.issn=2373-7867&rft.eissn=2373-7867&rft_id=info:doi/10.1080/23737867.2016.1212678&rft_dat=%3Cdoaj_cross%3Eoai_doaj_org_article_f3d304a05c704fd5b9b932de298b2590%3C/doaj_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_doaj_id=oai_doaj_org_article_f3d304a05c704fd5b9b932de298b2590&rfr_iscdi=true |