Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627275 | Applied Mathematics and Computation | 2014 | 11 Pages |
Abstract
In this paper, we intend to understand the influences of the spatial heterogeneity, crowding effect and non-local infection caused by the movements of the latent mosquitoes on the dynamics of dengue transmission. For this purpose, we modify the homogeneous system provided in Esteva and Vargas (1998) to obtain a nonlocal and time-delayed reaction–diffusion system with the Neumann condition on the boundary. Then the basic reproduction number R0R0 is defined for the model system, and it can be obtained explicitly when all model parameters are constants. Finally, we show that the global threshold dynamics of the model system can be determined by R0R0.
Keywords
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Huei-li Lin, Feng-Bin Wang,