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

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 periodic traveling fronts of the system.Then, we prove Generator W/ Plastic Battery Bracket 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 Candles a translation), Liapunov stability and exponentially asymptotical stability of the smooth bistable periodic traveling fronts.

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