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

  • Derdei Bichara Simon A. Levin Mathematical, Computational and Modeling Sciences Center, Arizona State University, Tempe, AZ, USA
  • Susan A. Holechek Simon A. Levin Mathematical, Computational and Modeling Sciences Center, Arizona State University, Tempe, AZ, USA; Center for Infectious Diseases and Vaccinology, The Biodesign Institute, Arizona State University, Tempe, AZ, USA
  • Jorge Velázquez-Castro Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Puebla, Puebla, Mexico
  • Anarina L. Murillo Simon A. Levin Mathematical, Computational and Modeling Sciences Center, Arizona State University, Tempe, AZ, USA
  • Carlos Castillo-Chavez Simon A. Levin Mathematical, Computational and Modeling Sciences Center, Arizona State University, Tempe, AZ, USA
Keywords: Vector-borne diseases, DENV-2 Asian genotype, dengue, residence times, multi-patch model, global stability

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.

Published
2016-12-01
How to Cite
Bichara, Derdei, Susan A. Holechek, Jorge Velázquez-Castro, Anarina L. Murillo, and Carlos Castillo-Chavez. 2016. “On the Dynamics of Dengue Virus Type 2 With Residence Times and Vertical Transmission”. Letters in Biomathematics 3 (1), 140–160. https://doi.org/10.1080/23737867.2016.1212678.
Section
Research

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