Publisher : Department of Mathematics, Kyungpook National University
DOI : 10.5666/KMJ.2009.49.4.605
Title & Authors
A Stage-Structured Predator-Prey System with Time Delay and Beddington-DeAngelis Functional Response Wang, Lingshu; Xu, Rui; Feng, Guanghui;
A stage-structured predator-prey system with time delay and Beddington-DeAngelis functional response is considered. By analyzing the corresponding characteristic equation, the local stability of a positive equilibrium is investigated. The existence of Hopf bifurcations is established. Formulae are derived to determine the direction of bifurcations and the stability of bifurcating periodic solutions by using the normal form theory and center manifold theorem. Numerical simulations are carried out to illustrate the theoretical results.