Abstract
In this paper, we are concerned with a reaction- diffusion SIR epidemic model with nonlinear incidence rate and non-local delay effect in a continuous bounded spatial domain. We introduce the basic reproduction number R0 of the model by the idea of next generation operator. By means of the theory of dynamical systems and uniform persistence, we investigate the global dynamics of the model in terms of R0. Finally, we implement numerical simulations to show the feasibility of our results and explore some epidemiological insights.
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