具有二阶扰动和疫苗接种的随机霍乱传染病模型的平稳分布

STATIONARY DISTRIBUTION OF A STOCHASTIC CHOLERA EPIDEMIC MODEL WITH SECOND-ORDER PERTURBATION AND VACCINATION

针对一类具有二阶扰动和疫苗接种的随机霍乱传染病模型,得到了一个关键条件R_(0)^(S)。然后利用随机Lyapunov分析法以及Itô公式,证明了当R_(0)^(S)>1当时,随机霍乱传染病模型存在遍历平稳分布。因为模型具有二阶扰动,在证明中构造了新颖的随机Lyapunov函数。证明方法可以应用到类似的模型中。

For a class of stochastic cholera epidemic model with second-order perturbation and vaccination,a key condition R_(0)^(S) was obtained.Then,by using stochastic Lyapunov analysis method and Itô formula,it was proved that the stochastic cholera epidemic model had a unique ergodic stationary distribution when.R_(0)^(S)>1 Because the model had second-order disturbance,the novel stochastic Lyapunov functions were constructed in the proof.The proof method can be applied to similar models.