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Theory and Modern Applications

Figure 3 | Advances in Difference Equations

Figure 3

From: Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis

Figure 3

Dynamic behaviour comparisons of \(\pmb{S(t)}\) , \(\pmb{I_{1}(t)}\) , \(\pmb{I_{2}(t)}\) in the deterministic and the stochastic \(\pmb{SIS}\) system with parameters \(\pmb{A=1}\) , \(\pmb{d=0.1}\) , \(\pmb{\beta_{1}=1.2}\) , \(\pmb{\beta_{2}=1.5}\) , \(\pmb{a_{1}=1}\) , \(\pmb{a_{2}=1.5}\) , \(\pmb{b_{1}=2}\) , \(\pmb{b_{2}=1}\) , \(\pmb{\alpha_{1}=0.2}\) , \(\pmb{\alpha_{2}=0.4}\) , \(\pmb{r_{1}=0.3}\) , \(\pmb{r_{2}=0.3}\) , \(\pmb{\sigma_{1}=1.1}\) , \(\pmb{\sigma_{2}=1.1}\) . (a) Time series for \(S(t)\) and \(\langle S(t)\rangle\). (b) Time series for \(I_{1}(t)\) and \(\langle I_{1}(t)\rangle\). (c) Time series for \(I_{2}(t)\) and \(\langle I_{2}(t)\rangle\).

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