Stability and Hopf bifurcations in a competitive Lotka-Volterra system with two delays

摘要

We consider a Lotka-Volterra competition system with two delays. We first investigate the stability of the positive equilibrium and the existence of Hopf bifurcations, and then using the normal form theory and center manifold argument, derive the explicit formulas which determine the stability, direction and other properties of bifurcating periodic solutions. (C) 2004 Elsevier Ltd. All rights reserved.