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• W2778142183 abstract "To capture the impacts of limited medical resources and self-protection on the transmission of dengue fever, we formulate an SIS v.s. SI dengue model with the nonlinear recovery rate and contact transmission rate. The spatial heterogeneity of environment is also taken into consideration. With the aid of the relevant eigenvalue problem, we explore some properties of the basic reproduction number, and show that it still plays its 'traditional' role in determining the stability of equilibria, that is, the extinction and persistence of dengue fever. Moreover, we consider a special diffusive pattern in which there is only human diffusion, but no mosquitoes diffusion, then present the explicit expression of the basic reproduction number and exhibit the corresponding transmission dynamics. This paper ends up with some numerical simulations and epidemiological explanations, which confirm our analytical findings." @default.
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• W2778142183 date "2018-01-01" @default.
• W2778142183 modified "2023-10-17" @default.
• W2778142183 title "Modeling the transmission of dengue fever with limited medical resources and self-protection" @default.
• W2778142183 doi "https://doi.org/10.3934/dcdsb.2018050" @default.
• W2778142183 hasPublicationYear "2018" @default.
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