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Uniqueness and stability of steady states for a predator-prey model in heterogeneous environment
Authors:Rui Peng   Mingxin Wang
Affiliation:Institute of Nonlinear Complex System, College of Science, China Three Gorges University, Yichang City, 443002, Hubei Province, People's Republic of China ; Department of Mathematics, Southeast University, Nanjing City, 210018, People's Republic of China
Abstract:In this paper, we deal with a predator-prey model with diffusion in a heterogeneous environment, and we study the uniqueness and stability of positive steady states as the diffusion coefficient of the predator is small enough.

Keywords:Predator-prey model   steady state   uniqueness   stability.
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