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Traveling wave phenomena of a diffusive and vector-bias malaria model

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  • This paper is devoted to the study of a diffusive and vector-bias malaria model. We first analyze the well-posedness of the initial value problem of the model. Then, according to the basic reproduction ratio $\mathcal{R}_0$, we establish the existence and non-existence of traveling wave solutions for the model. The proof of the main theorems is based on Schauder fixed point theorem and the variation of constants formula of ODEs.
    Mathematics Subject Classification: Primary: 34C07, 35A10; Secondary: 35Q92, 92D30.

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