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A vector-bias malaria model with incubation period and diffusion

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  • This paper is devoted to the study of the global dynamics of a vector-bias malaria model with incubation period and diffusion. The global attractivity of the disease-free or endemic equilibrium is first proved for the spatially homogeneous system. Then the threshold dynamics is established for the spatially heterogeneous system in terms of the basic reproduction ratio. A set of sufficient conditions is further obtained for the global attractivity of the positive steady state.
    Mathematics Subject Classification: Primary: 35K57, 37N25; Secondary: 92D30.


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