Figure 1

Characteristics of ( 13 ) for \(\pmb{r(1)=0.4}\) , \(\pmb{a(1)=0.2}\) , \(\pmb{\sigma_{1}(1)=0.96}\) , \(\pmb{\sigma_{2}(1)=1}\) , \(\pmb{r(2)=0.4}\) , \(\pmb{a(2)=0.32}\) , \(\pmb{\sigma_{1}(2)=0.8}\) , \(\pmb{\sigma_{2}(2)=0.9}\) , initial value \(\pmb{N(0)=0.2}\) . Figure 1(a) is the solution of Eq. (14) using the Milstein method mentioned in [24]. This figure shows that the trivial solution of subsystem (14) is SGAS. Figure 1(b) is the density of solution of Eq. (15) using the Monte Carlo simulation method mentioned in [25]. Figure 1(c) is the solution of Eq. (13) with \(q_{12}=0.3\) and \(q_{21}=0.7\). These figures demonstrate that the trivial solution of system (13) is SGAS. Figure 1(d) is the density of solution of Eq. (13) with \(q_{12}=q_{21}=0.5\).