Р (1.School of Mathematics and Statistics, Xinyang College, Xinyang 464000,China;Р2.School of Mathematics and Statistics, Central South University, Changsha 410075,China;Р3.School of Mathematics and Statistics, Huanghuai University, Zhumadian 463000,China)РР Abstract: In this paper,we study the dynamic behavior of a stochastic COVID-19 epidemic mod-Рel.By using the method of Lyapunov function,first of all,we show that the global positive solution of modelРis existence and uniqueness.Secondly,the sufficient conditions for the extinction and the stationary distri-Рbution and ergodicity of positive solution of epidemic model are given,respectively.Finally,the correctnessРof the results is proved by numerical simulation.Р Key words: COVID-19; Extinction; Stationary distribution
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