Description
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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Title
- On the dynamics of dengue virus type 2 with residence times and vertical transmission
Contributors
- Bichara, Derdei (Author)
- Holechek, Susan (Author)
- Velazquez-Castro, Jorge (Author)
- Murillo, Anarina (Author)
- Castillo-Chavez, Carlos (Author)
- Simon M. Levin Mathematical, Computational and Modeling Sciences Center (Contributor)
- College of Liberal Arts and Sciences (Contributor)
- School of Human Evolution and Social Change (Contributor)
- Biodesign Institute (Contributor)
- Infectious Diseases and Vaccinology (Contributor)
- School of Life Sciences (Contributor)
Date Created
The date the item was original created (prior to any relationship with the ASU Digital Repositories.)
2016-08-05
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Identifier
- Digital object identifier: 10.1080/23737867.2016.1212678
- Identifier TypeInternational standard serial numberIdentifier Value2373-7867
Note
- The final version of this article, as published in Letters in Biomathematics, can be viewed online at: http://www.tandfonline.com/doi/full/10.1080/23737867.2016.1212678, opens in a new window
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Bichara, D., Holechek, S. A., Velázquez-Castro, J., Murillo, A. L., & Castillo-Chavez, C. (2016). On the dynamics of dengue virus type 2 with residence times and vertical transmission. Letters in Biomathematics, 3(1), 140-160. doi:10.1080/23737867.2016.1212678