Open Access Research Article

Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restriction-II: The Case in

Rui Zhang12, Ling Guo1 and Shengmao Fu1*

Author Affiliations

1 Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

2 Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China

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Boundary Value Problems 2009, 2009:654539  doi:10.1155/2009/654539

Published: 8 December 2009

Abstract

A Holling type III predator-prey model with self- and cross-population pressure is considered. Using the energy estimate and Gagliardo-Nirenberg-type inequalities, the existence and uniform boundedness of global solutions to the model are dicussed. In addition, global asymptotic stability of the positive equilibrium point for the model is proved by Lyapunov function.