Abstract
In this paper, we are concerned with the speed of time-periodic bistable traveling waves in a reaction-diffusion competition system with seasonal succession. The value range of the speed is obtained by applying a comparison principle and the uniqueness and stability of time-periodic bistable traveling waves. The comparison principles on speeds between the time-periodic bistable wave and upper or lower solutions are established. Then by constituting explicitly upper or lower solutions we then derive some certain conditions on parameters under which the positive or negative speeds are realized. More significantly, we find concrete examples for the considered reaction-diffusion system with half the good seasons and half the bad seasons, so that the theoretical results are corroborated by numerical simulations.
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