Periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity

Periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity

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This paper 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 Swimwear periodic traveling fronts of the system.Then, we prove the existence of periodic traveling fronts connecting two stable periodic solutions.

An estimate of the wave speed is also obtained.Further, we prove the monotonicity, uniqueness (up to Half Yard Bundles a translation), Liapunov stability and exponentially asymptotical stability of the smooth bistable periodic traveling fronts.