Open Access

Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restriction-II: The Case in https://static-content.springer.com/image/art%3A10.1155%2F2009%2F654539/MediaObjects/13661_2009_Article_869_IEq1_HTML.gif

Boundary Value Problems20092009:654539

DOI: 10.1155/2009/654539

Received: 2 April 2009

Accepted: 31 August 2009

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.

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)
Department of Mathematics, Northwest Normal University
(2)
Department of Mathematics, Lanzhou Jiaotong University

Copyright

© Rui Zhang et al. 2009

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.