ABSTRACT A stochastic susceptible-infected-recovered-susceptible model with vaccination includes stochastic variation in its parameters. Sufficient conditions for the extinction and the existence of the stationary distribution of the population are proved.

中文翻译：

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马尔可夫转换下接种疫苗的随机易感-感染-恢复-易感模型的灭绝时间和平稳分布

摘要 接种疫苗的随机易感-感染-恢复-易感模型包括其参数的随机变化。证明了灭绝的充分条件和种群平稳分布的存在。