登革2型病毒停留时间和垂直传播动态研究

Q3 Mathematics

Letters in Biomathematics Pub Date : 2016-01-01 DOI:10.1080/23737867.2016.1212678

Derdei Bichara, S. Holechek, J. Velázquez-Castro, Anarina L. Murillo, C. Castillo-Chavez

{"title":"登革2型病毒停留时间和垂直传播动态研究","authors":"Derdei Bichara, S. Holechek, J. Velázquez-Castro, Anarina L. Murillo, C. Castillo-Chavez","doi":"10.1080/23737867.2016.1212678","DOIUrl":null,"url":null,"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.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"7 1","pages":"140 - 160"},"PeriodicalIF":0.0000,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2016.1212678","citationCount":"11","resultStr":"{\"title\":\"On the dynamics of dengue virus type 2 with residence times and vertical transmission\",\"authors\":\"Derdei Bichara, S. Holechek, J. Velázquez-Castro, Anarina L. Murillo, C. Castillo-Chavez\",\"doi\":\"10.1080/23737867.2016.1212678\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":37222,\"journal\":{\"name\":\"Letters in Biomathematics\",\"volume\":\"7 1\",\"pages\":\"140 - 160\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/23737867.2016.1212678\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Letters in Biomathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/23737867.2016.1212678\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Letters in Biomathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/23737867.2016.1212678","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 11

摘要

介绍了登革热病毒2型(DENV-2)的双补丁数学模型，该模型考虑了媒介的垂直传播和补丁之间的人类传播。扩散是通过拉格朗日方法建模的。得出了宿主斑块停留时间乘以基本繁殖数，并确定了疾病灭绝或持续存在的条件。分析和数值结果强调了宿主的扩散在减轻或加剧疾病动态中的作用。该框架以2002年墨西哥科利马州的疫情为起点，用于探索登革热动态。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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 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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Letters in Biomathematics Mathematics-Statistics and Probability

CiteScore

2.00

自引率

0.00%

发文量

审稿时长

14 weeks