Noise effect on a spatial reaction-diffusion model with constant harvest rate

In this paper, we present a spatial version of the Ivlev-type predaor-prey model which contains some important factors, such as noise on predator, harvest on prey, diffusion processes on both predator and prey. From the numerical results, we know that noise can induce instability and enhance the oscillation of the species density. Our results show that noise plays a prominent role in the predation-diffusion model with constant harvest.