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• W2032417357 abstract "A nonlocal and time-delayed reaction-diffusion model of dengue fever is first proposed that incorporates the aquatic stage, the winged stage, and the incubation periods of the dengue virus within mosquitos and hosts. Then the basic reproduction number $R_0$ is established for the model system, and an explicit formula of $R_0$ is obtained in the case of spatially homogeneous infections. It is shown that this $R_0$ gives the threshold dynamics in the sense that the disease-free equilibrium is asymptotically stable if $R_0<1$ and the disease is uniformly persistent if $R_0>1$. The influences of diffusion coefficients, time delays, and infection heterogeneity on the spread of the disease are also studied via numerical simulations. It turns out that the infection risk may be underestimated if the spatially averaged parameters are used to compute the basic reproduction number for spatially heterogeneous infections." @default.
• W2032417357 created "2016-06-24" @default.
• W2032417357 creator A5029969744 @default.
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• W2032417357 date "2011-01-01" @default.
• W2032417357 modified "2023-10-13" @default.
• W2032417357 title "A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission" @default.
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• W2032417357 doi "https://doi.org/10.1137/090775890" @default.
• W2032417357 hasPublicationYear "2011" @default.
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