The Complex Dynamics of a Stochastic Predator-Prey Model

Figure 3

The phase portraits of model (1.3). The parameters are taken as 𝑎=2,𝑏=0.25,𝑐=0.875,𝑒=1,  𝑚=0.95,𝑛=0.9,and𝑓=0.8. In this case, 𝐸₁=(4,0) and 𝐸₂=(0,1.1875) are saddle points, the positive interior equilibrium point 𝐸^∗=(1.4761,3.0326) is globally asymptotically stable. The dashed curve is the 𝑥-nullcline 𝑓(𝑥,𝑦)=0, and the dotted curve is the 𝑦-nullcline 𝑔(𝑥,𝑦)=0.