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On the Dynamics of Dengue Virus type 2 with Residence Times and Vertical Transmission

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 modeled 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.

preprint2016arXivOpen access
Derdei BicharaSusan A. HolechekJorge Velazquez-CastroAnarina L. MurilloCarlos Castillo-Chavez
Populations and Evolution
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Open access5 authors1 topic
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Derdei BicharaSusan A. HolechekJorge Velazquez-CastroAnarina L. MurilloCarlos Castillo-Chavez

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