| Abstract: |
| In this talk, we consider an epidemic reaction-diffusion system with nonlinear incidence mechanism. The coefficients of the system are spatially heterogeneous and time dependent (particularly time periodic). We first establish the uniform bounds of the solutions of a class of systems, which improve some previous results. Based on such estimates,
we then study the long-time behavior of the solutions of the system.
Our results reveal the delicate effect of the infection mechanism, transmission rate, recovery rate
and disease-induced mortality rate on the infection dynamics.
Our analysis can be adapted to models with some other types of infection incidence mechanisms. |
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