Abstract
A novel reaction diffusion model is proposed, in this paper, to consider the impacts on the spatially heterogeneity, horizontal and environmental transmission, incomplete immunity and exposed individuals on the spread and control of Cholera. Firstly, the existence of the solution of this model, the boundedness and the existence of the global attractor are investigated. The basic reproduction number R0 of model is further defined, and then the threshold results of its global dynamics are established based on R0. In particular, we analyze the asymptotic behavior of the steady state when the diffusion rate is small or large in susceptible and exposed individuals. With the help of numerical simulations, we found that the spread of susceptible individuals does not change the spatial distribution of the disease and the local epidemic risk level during the spread of the disease in different regions, while the spread of exposed individuals has an important effect on the spatial distribution of the infected population.
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