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Theory and Modern Applications

Figure 5 | Advances in Difference Equations

Figure 5

From: Stability of a stochastic discrete mutualism system

Figure 5

The boundary equilibrium state \(E_{2}=(0, 1/8)\) of (4) is a.s. locally asymptotically stable when \(\sigma _{1}=\sigma _{2}=0.9\), \(r_{1}=r_{2}=0.25\), \(a_{22}=2\), \(a_{12}= 0.6\), \(a_{21}=1\), and \(h=0.1\) satisfy \(2(r_{1}+\frac{a_{12}r_{2}}{a_{22}})-\sigma _{1}^{2}<0\), where the initial condition is \((u_{1}(0), u_{2}(0))=(0.5, 0.8)\)

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