Article ID Journal Published Year Pages File Type
1710072 Applied Mathematics Letters 2008 7 Pages PDF
Abstract

In this work, we study a predator–prey system with cross-diffusion, representing the tendency of prey to keep away from its predators, under the homogeneous Dirichlet boundary condition. Using fixed point index theory, we provide some sufficient conditions for the existence of positive steady-state solutions. Furthermore, we investigate the non-existence of positive solutions.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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