Stability and Hopf bifurcation analysis of a prey–predator system with two delays

Kai Li, Junjie Wei

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)

Abstract

In this paper, we have considered a prey–predator model with Beddington-DeAngelis functional response and selective harvesting of predator species. Two delays appear in this model to describe the time that juveniles take to mature. Its dynamics are studied in terms of local analysis and Hopf bifurcation analysis. By analyzing the associated characteristic equation, its linear stability is investigated and Hopf bifurcations are demonstrated. The stability and direction of the Hopf bifurcation are determined by applying the normal form method and the center manifold theory. Numerical simulation results are given to support the theoretical predictions.
Original languageEnglish
Pages (from-to)2606-2613
Number of pages8
JournalChaos, Solitons and Fractals
Volume42
Issue number5
DOIs
Publication statusPublished - 2009
Externally publishedYes

Fingerprint Dive into the research topics of 'Stability and Hopf bifurcation analysis of a prey–predator system with two delays'. Together they form a unique fingerprint.

Cite this