一类具有随机扰动的非自治SIRI流行病模型的动力学行为

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