Figure 3

Numerical simulations of the solutions for system (17) and the corresponding deterministic system (2), when \(\mathcal {R}_{0}^{s}<1\) with \(a=0.19\), \(\mu=0.8\), \(\alpha=0.1\), \(c=0.8\), \(K=1\), \(\delta=0.59\), \(r=1\), \(\sigma_{1}=0.001\), \(\sigma_{2}=0.023\), and \(\tau _{1}=\tau_{2}=0.1\). Predator population goes to extinction at \(t=70\) for the deterministic system; while extinction occurs at \(t=20\) with the stochastic model