Existence   of positive steady states for a predator-prey model with diffusion

Wenshu Zhou; Hongxing Zhao; Xiaodan Wei; Guokai Xu

doi:10.3934/cpaa.2013.12.2189

Article Contents

2013, Volume 12, Issue 5: 2189-2201. Doi: 10.3934/cpaa.2013.12.2189

This issue Previous Article The Fractional Ginzburg-Landau equation with distributional initial data Next Article One-dimensional symmetry for semilinear equations with unbounded drift

Existence of positive steady states for a predator-prey model with diffusion

1.
Department of Mathematics, Dalian Nationalities University, Dalian 116600
2.
College of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006
3.
School of Computer Science, Dalian Nationalities University, Dalian 116600
4.
College of Electromechanical and Information Engineering, Dalian Nationalities University, Dalian 116600

Received: May 31, 2012

Revised: July 31, 2012

Published: August 2013

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Abstract

In this paper, we are concerned with the existence of positive steady states for a diffusive predator-prey model in a spatially heterogeneous environment. We completely determine the intervals of certain parameter of the model in which a positive steady state exists.

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Mathematics Subject Classification: Primary: 35J20; Secondary: 35J60.

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