文章基本信息

标题：A hepatitis stochastic epidemic model with acute and chronic stages
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作者：Amir Khan ; Ghulam Hussain ; Abdullahi Yusuf 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13662-021-03335-7
出版社：Hindawi Publishing Corporation
摘要：The article is based on the study of hepatitis transmission dynamics using a stochastic epidemic model. We discuss the stochastic perturbations of our proposed model by considering the effect of environmental fluctuation and distribute the transmission rate in the form of white noise. Taking into account the Lyapunov function theory, the uniqueness and existence of the global positive solution are proven. Some sufficient conditions for the extinction and persistence in the mean are established. The numerical simulations are given to verify the main theoretical findings.
关键词：Stochastic model ; Existence and uniqueness ; Extinction and persistence of the model ; Numerical simulation