Dynamic Analysis of a Stochastic COVID-19 Model with Quarantine-Adjusted Incidence
Since December 2019,the novel coronavirus(COVID-19)spread very fast and has infected nearly 200 million people in over 200 countries.The unique characteristics of the COVID-19 include its ability of faster expansion through freely existed viruses or air molecules in the atmosphere.Assuming that the spread of vi-rus follows a random process instead of deterministic.The continuous time Markov Chain through stochastic model approach has been utilized for predicting the impending states with the use of random variables.A stochastic SIQ novel coronavirus model with quarantine-adjusted incidence is considered.A stop time is defined and proved to be infinite by constructing an appropriate Lyapunov function.Thus,the global existence of the unique positive solution of the model is proved.By constructing compact set and proper Lyapunov function,the existence and er-godicity of the stationary distribution of the solution of the model are proved.In addition,the disease was proved to be exterminating.
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维普
