Monostable waves and spreading speed for a reaction-diffusion model with seasonal succession

This paper is devoted to the study of propagation phenomena for a two-species competitive reaction-diffusion model with seasonal succession in the monostable case. By appealing to theory of traveling waves and spreading speeds for monotone semiflows, we establish the existence of the minimal wave speed for rightward traveling waves and itscoincidence with the rightward spreading speed. We also obtain a set of sufficient conditions for thespreading speed to be linearly determinate.