Figure 3

Existence and uniqueness of \(E^{*}(u^{*},v^{*})\). The parametric values are taken as \(\{r=1, \delta =0.8, \alpha =10, \beta =0.1, \xi =0.15, \zeta =7.1, \eta =0.01, \sigma =6, m=0.01\}\). Moreover, the steady state \(E^{*}=(0.920642,1.01358)\) is globally asymptotically stable. Because \((\delta (1-m)v^{*}-u^{*})\alpha <\frac{1}{1-m}+\beta u^{*}(v^{*}-1) \) and \((1-m)u^{*}(\beta -\alpha )<1\)