| Abstract: |
| This talk is concerned with the periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity. We first determine the signs of wave speeds for two monostable periodic traveling fronts of the system. Then, we establish the existence of the periodic traveling fronts connecting two stable periodic solutions. Further, we prove the monotonicity, uniqueness (up to a translation), Liapunov stability and exponentially asymptotical stability of the smooth bistable periodic traveling fronts. Finally, we apply our results to an periodic epidemic model. |
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