Full metadata
Title
On the dynamics of dengue virus type 2 with residence times and vertical transmission
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.
Date Created
2016-08-05
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)
Resource Type
Extent
22 pages
Language
Copyright Statement
In Copyright
Primary Member of
Identifier
Digital object identifier: 10.1080/23737867.2016.1212678
Identifier Type
International standard serial number
Identifier Value
2373-7867
Series
LETTERS IN BIOMATHEMATICS
Handle
https://hdl.handle.net/2286/R.I.44890
Preferred Citation
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
Level of coding
minimal
Cataloging Standards
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
System Created
- 2017-07-17 03:13:44
System Modified
- 2021-08-16 02:23:30
- 3 years 1 month ago
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