Stability and Hopf Bifurcation in a Diffusive Predator-Prey System with Beddington-DeAngelis Functional Response and Time DelayReport as inadecuate




Stability and Hopf Bifurcation in a Diffusive Predator-Prey System with Beddington-DeAngelis Functional Response and Time Delay - Download this document for free, or read online. Document in PDF available to download.

Abstract and Applied AnalysisVolume 2011 2011, Article ID 463721, 22 pages

Research ArticleSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, China

Received 18 June 2011; Accepted 16 August 2011

Academic Editor: Marcia Federson

Copyright © 2011 Yuzhen Bai and Xiaopeng Zhang. 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.

Abstract

This paper is concerned with a diffusive predator-prey system with Beddington-DeAngelisfunctional response and delay effect. By analyzing the distribution of the eigenvalues, the stabilityof the positive equilibrium and the existence of spatially homogeneous and spatially inhomogeneousperiodic solutions are investigated. Also, it is shown that the small diffusion can affect the Hopfbifurcations. Finally, the direction and stability of Hopf bifurcations are determined by normal formtheory and center manifold reduction for partial functional differential equations.





Author: Yuzhen Bai and Xiaopeng Zhang

Source: https://www.hindawi.com/



DOWNLOAD PDF




Related documents