Non-constant Positive Steady States for a Strongly Coupled Nonlinear Reaction-diffusion System Arising in Population Dynamics
نویسندگان
چکیده
We consider a strongly coupled reactiondiffusion system describing three interacting species in a simple food chain structure. Based on the Leray-Schauder degree theory, the existence of non-constant positive steady states is investigated. The results indicate that, when the intrinsic growth rate of the middle species is small, crossdiffusions of the predators versus the preys are helpful to create global coexistence (stationary patterns).
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تاریخ انتشار 2015