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Theory and Modern Applications

Figure 2 | Advances in Difference Equations

Figure 2

From: Survival and ergodicity of a stochastic Holling-III predator–prey model with Markovian switching in an impulsive polluted environment

Figure 2

The sample paths of stochastic model (5.1), where (a) \(\pi = (0.9,0.1)\), \(a_{1} = (0.62,0.8)\), \(b_{1} = (0.021,0.04)\), \(\alpha = 0.2\), \(\beta = 0.1\), \(r_{1} = 0.9\), \(\sigma _{1} = 0.1\), \(a_{2} = (0.2,0.4)\), \(b_{2} = 0.04\), \(k = 0.2\), \(r_{2} = 0.8\), \(\sigma _{2} = 0.1\), \(\rho = 1.2\), \(x_{0} = 5\), \(y_{0} = 4\); (b) \(\pi = (0.1,0.9)\), \(a_{1} = (0.62,0.8)\), \(b_{1} = (0.021,0.04)\), \(\alpha = 0.2\), \(\beta = 0.1\), \(r_{1} = 0.9\), \(\sigma _{1} = 1\), \(a_{2} = (0.2,0.4)\), \(b_{2} = 0.04\), \(k = 0.2\), \(r_{2} = 0.8\), \(\sigma _{2} = 0.2\), \(\rho = 1.2\), \(x_{0} = 5\), \(y_{0} = 4\)

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