Stability Analysis of a Kind of Three-Species Food System with Time Delay

摘要

In this paper, a kind of three-dimensional model of food system including Giant Panda , bambooand arbor with delay is considered. Absolute stability and Hopf bifurcation of the model are studied by usingsystematic analysis method. Sufficient conditions of absolute stability are obtained, it is shown that the delay　τ　is locally harmless. Furthermore, it is proved that the time delay may destabilize the positive equilibrium,and Hopf bifurcation occurs under certain conditions.