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Advances in Continuous and Discrete Models

Theory and Modern Applications

Figure 4 | Advances in Difference Equations

Figure 4

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

Figure 4

(a), (b) The sample paths of stochastic model (5.1) with \(\pi = (0.9,0.1)\), \(a_{1} = (0.78,0.72)\), \(b_{1} = (0.52, 0.48)\), \(\alpha = 0.98\), \(\beta = 0.84\), \(r_{1} = 0.1\), \(\sigma _{1} = 0.1\), \(a_{2} = (0.24,0.18)\), \(b_{2} = 0.1\), \(k = 0.86\), \(r_{2} = 0.1\), \(\sigma _{2} = 0.2\), \(\rho = 4\), \(x_{0} = 1.4\), \(y_{0} = 1.6\); (c), (d) The density function diagrams of \(x(t)\) and \(y(t)\), respectively

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