| Abstract: |
| This work investigates a generalized nonlocal dispersion epidemic model subject to the Neumann boundary conditions and spatial heterogeneity. We use a convolution operator to describe the nonlocal spatial movements of individuals. Our primary goal is to investigate this model, focusing on a generalized incidence function, which presents an additional challenge in the model analysis. We also investigate the existence and uniqueness of an endemic steady state and study the significant effects of dispersal rates on the asymptotic profiles of the steady endemic state. Finally, we discussed the global asymptotic behavior of the solution for different dispersal coefficients. |
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