一类具有随机扰动的非自治SIRI流行病模型的动力学行为

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曹忠威,文香丹,冯微,祖力

Dynamics of a Nonautonomous SIRI Epidemic Model with Random Perturbations

Zhongwei Cao,Xiangdan Wen,Wei Feng,Li Zu

图 2 Simulation of paths of $(I(t), R(t))$ of system (1.4). In this situation, system (1.4) with $\beta(t) = 0.8+0.2\sin t$ , $\lambda(t) = 0.2+0.1\sin t$ , $\mu(t) = 0.3+0.1\sin t$ , $\gamma(t) = 0.5+0.3\sin t$ , $\sigma^2(t) = 0.17+0.015\cos 2t$ . This figure shows that system (1.4) has a nontrivial positive periodic solution and the disease will persist in probability one