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

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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