| Abstract: |
| Abstract: In this talk, I will present our recent results on the dynamical behaviors of a class of reaction-diffusion SIR models which are used to model the population dynamics of fox rabies epidemic diseases observed in Europe. We not only consider the original non-degenerate system, but also consider its two degenerate counterparts: one is PDE-ODEs system and the other is the shadow system. Dynamical behaviors, including the existence of global-in-time solutions, the stability and the bifurcations of the steady states, are investigated in great details. The talk is based on the joint works with Y. Tang, N. Tuncer and Y. Zhang. |
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