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

Authors

  • Derdei Bichara Simon A. Levin Mathematical, Computational and Modeling Sciences Center, Arizona State University, Tempe, AZ, USA Author
  • 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 Author
  • Jorge Velázquez-Castro Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Puebla, Puebla, Mexico Author
  • Anarina L. Murillo Simon A. Levin Mathematical, Computational and Modeling Sciences Center, Arizona State University, Tempe, AZ, USA Author
  • Carlos Castillo-Chavez Simon A. Levin Mathematical, Computational and Modeling Sciences Center, Arizona State University, Tempe, AZ, USA Author

DOI:

https://doi.org/10.30707/LiB3.1Bichara

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.

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Published

2023-11-11

Issue

Vol. 3 No. 1 (2016)

Section

Research

How to Cite

On the dynamics of dengue virus type 2 with residence times and vertical transmission. (2023). Letters in Biomathematics, 3(1), 140–160. https://doi.org/10.30707/LiB3.1Bichara

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