On the dynamics of dengue virus type 2 with residence times and vertical transmission

Derdei Bichara; Susan A. Holechek; Jorge Velázquez-Castro; Anarina L. Murillo; Carlos Castillo-Chavez

doi:10.1080/23737867.2016.1212678

On the dynamics of dengue virus type 2 with residence times and vertical transmission

Derdei Bichara, Susan A. Holechek, Jorge Velázquez-Castro, Anarina L. Murillo, Carlos Castillo-Chavez

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English (US)
Pages (from-to)	140-160
Number of pages	21
Journal	Letters in Biomathematics
Volume	3
Issue number	1
DOIs	https://doi.org/10.1080/23737867.2016.1212678
State	Published - Jan 1 2016

Keywords

DENV-2 Asian genotype
Vector-borne diseases
dengue
global stability
multi-patch model
residence times

ASJC Scopus subject areas

Statistics and Probability
Biochemistry, Genetics and Molecular Biology (miscellaneous)
Applied Mathematics

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10.1080/23737867.2016.1212678

Cite this

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abstract = "A two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors{\textquoteright} 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{\textquoteright} 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.",

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On the dynamics of dengue virus type 2 with residence times and vertical transmission

Abstract

Keywords

ASJC Scopus subject areas

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