ABSTRACT An epidemic model with stochastic contact transmission coefficient takes into account white noise and the influence of information. Sufficient conditions for the extinction and persistence of the disease are expressed. The existence of a stationary distribution and the ergodic property are proved. The peak of infected population can be decreased by information. The analytical results are showed by simulations and the influence of white noise and information on the dynamics of epidemics are evaluated.

中文翻译：

---

受信息影响的随机易感-感染-康复-易感流行模型的遍历性和灭绝性

摘要 具有随机接触传播系数的流行病模型考虑了白噪声和信息的影响。表达了该疾病灭绝和持续存在的充分条件。证明了平稳分布的存在性和遍历性。感染人群的高峰可以通过信息来降低。分析结果通过模拟显示，并评估了白噪声和信息对流行病动态的影响。