This paper deals with stochastic Chikungunya (CHIKV) virus model along with saturated incidence rate. We show that there exists a unique global positive solution and also we obtain the conditions for the disease to be extinct. We also discuss about the existence of a unique ergodic stationary distribution of the model, through a suitable Lyapunov function. The stationary distribution validates the occurrence of disease; through that, we find the threshold value for prevail and disappear of disease within host. With the help of numerical simulations, we validate the stochastic reproduction number R0S as stated in our theoretical findings.

中文翻译：

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具有饱和发病率的随机宿主内 CHIKV 病毒模型的阈值

本文处理随机基孔肯雅 (CHIKV) 病毒模型以及饱和发病率。我们证明了存在一个独特的全球积极解决方案，并且我们获得了该疾病灭绝的条件。我们还通过合适的 Lyapunov 函数讨论了模型的唯一遍历平稳分布的存在。平稳分布验证了疾病的发生；通过它，我们找到了宿主内疾病流行和消失的阈值。在数值模拟的帮助下，我们验证了随机再生数R0小号正如我们的理论发现所述。