In this paper, we analyzed the distribution of the roots of the associated characteristic equation for the Gause type predator-prey model. The point of bifurcation and a group of conditions of existence of Hopf-Fold bifurcation were obtained at the co...
In this paper, we analyzed the distribution of the roots of the associated characteristic equation for the Gause type predator-prey model. The point of bifurcation and a group of conditions of existence of Hopf-Fold bifurcation were obtained at the coexisting equilibrium. There are complex dynamic phenomenons such as periodic motion, quasi--periodic motion and bursting behavior by the numerical simulations.