Document Type

Article

Department/Program

Mathematics

Pub Date

2014

Series

34

Publisher

Discrete and Continuous Dynamical Systems

Issue

9

First Page

3875

Abstract

In this paper we consider a diffusive Leslie Gower predator prey model with Holling type II functional response and cross-diffusion under zero Dirichlet boundary condition. By using topological degree theory, bifurcation theory, energy estimates and asymptotic behavior analysis, we prove the existence, uniqueness and multiplicity of positive steady states solutions under certain conditions on the parameters.

DOI

10.3934/dcds.2014.34.3875

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