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Theory and Modern Applications

Figure 2 | Advances in Difference Equations

Figure 2

From: The extinction and persistence of a stochastic SIR model

Figure 2

Simulation of the path \(\pmb{S(t)}\) , \(\pmb{I(t)}\) , \(\pmb{R(t)}\) , and \(\pmb{\frac{1}{t}\int_{0}^{t}S(s)\,ds}\) , \(\pmb{\frac{1}{t}\int_{0}^{t}I(s)\,ds}\) , \(\pmb{\frac{1}{t}\int_{0}^{t}R(s)\,ds}\) for the stochastic system ( 1.2 ) and the corresponding deterministic system with \(\pmb{R_{0}>1}\) and \(\pmb{\tilde{R}_{0}>1}\) .

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