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  • Research Article
  • Open Access

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

Boundary Value Problems20092009:654539

https://doi.org/10.1155/2009/654539

  • Received: 2 April 2009
  • Accepted: 31 August 2009
  • Published:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Equilibrium Point

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Authors’ 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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