Nonlocal interaction driven pattern formation in a preypredator model

摘要: A widely observed scenario in ecological systems is that populations interact not only with those living the same spatial location but also spatially adjacent locations, a phenomenon called nonlocal interaction. In this paper, we explore role of interaction emergence patterns preypredator model under reactiondiffusion framework, which described by two coupled integro-differential equations. We first prove existence and uniqueness global solution means contraction mapping theory then conduct stability analysis positive equilibrium. find can induce Turing bifurcation drive formation stationary patterns. Finally carry out numerical simulations to demonstrate our analytical findings.