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 journalArticle

3 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)140-160
Number of pages21
JournalLetters in Biomathematics
Volume3
Issue number1
DOIs
StatePublished - Jan 1 2016

Fingerprint

Vertical Transmission
Dengue Virus
Residence Time
Viruses
Virus
Patch
Basic Reproduction Number
Dengue
Mexico
Disease Outbreaks
Theoretical Models
Basic Reproduction number
Mathematical models
Die
Mathematical Model
Numerical Results

Keywords

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

ASJC Scopus subject areas

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

Cite this

On the dynamics of dengue virus type 2 with residence times and vertical transmission. / Bichara, Derdei; Holechek, Susan A.; Velázquez-Castro, Jorge; Murillo, Anarina L.; Castillo-Chavez, Carlos.

In: Letters in Biomathematics, Vol. 3, No. 1, 01.01.2016, p. 140-160.

Research output: Contribution to journalArticle

Bichara, Derdei ; Holechek, Susan A. ; Velázquez-Castro, Jorge ; Murillo, Anarina L. ; Castillo-Chavez, Carlos. / On the dynamics of dengue virus type 2 with residence times and vertical transmission. In: Letters in Biomathematics. 2016 ; Vol. 3, No. 1. pp. 140-160.
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