Two Dimensional Pattern Formation of Prey-predator System

We investigate the reaction-diffusion system of the classical Bazykin model in spatial two dimensional domain. In this paper, we derive the conditions for turing instability in detail and obtain the turing space, in which the spatial system can emerge turing pattern. Furthermore, we simulate the pattern formation using the periodical boundary condition. Our results show that the Bazykin system stabilizes to a striplike pattern structure when diffusion is present.