Figure 7

Dynamical behavior of (1.2) with \(\xi _{1}=0.1414\), \(\xi _{2}=0.1414\), \(\xi _{3}=0.5292\). Theorem 3.1 implies the two prey are stable in mean and the predator \(N_{3}\) is extinct, and \(\lim_{t\rightarrow \infty }\langle N_{1}(t)\rangle = \frac{\Delta _{3}-\tilde{\Delta }_{3}}{A_{33}}=0.4286\), \(\lim_{t \rightarrow \infty }\langle N_{2}(t)\rangle = \frac{\Delta _{3}^{*}-\tilde{\Delta }_{3}^{*}}{A_{33}}=0.6429\), \(\lim_{t\rightarrow \infty }\langle N_{3}(t)\rangle =0\)