Abstract: The impulsive reaction-diffusion models were proposed to study the persistence of species with reproductive stage and dispersal stage in bounded domains. It was assumed that, in reproductive stage, the impulsive growth was chosen to be Beverton-Holt function and Ricker function. The threshold (also called the minimal critical domain) was got. The species could go extinct below the minimal critical domain, and could persist above the minimal critical domain. Finally, the numerical simulation of the system was carried out with the drift speed. The numerical results showed the drift speed can determine the persistence of the species in a bounded domain.