HOPF BIFURCATION OF THREE SPECIES SYSTEM WITH TIME DELAYS
多时滞三种群系统的Hopf分支

In this paper, a three species system with two time delays is studied. The stability of the positive equilibrium and the existence of Hopf bifurcation are investigated. By using the normal form theory and center manifold argument, the explicit formulae which determine the stability, the direction and the other properties ofbifurcating periodic solutions are derived. Finally some numerical simulations are carried out to illustrate the obtained results.