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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
Resource Type
Text
Extent
22 pages
Language
eng
Copyright Statement
In Copyright
Reuse Permissions
Attribution
Primary Member of
ASU Regents' Professors Open Access Works
Identifier
Digital object identifier: 10.1080/23737867.2016.1212678
ISSN (International Standard Serial Number)
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
asu1
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
System Created
  • 2017-07-17 03:13:44
System Modified
  • 2021-08-16 02:23:30
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  • 4 years 10 months ago
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