Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage

Advances in Difference Equations

article

Wang, Xiaodong¹  Wang, Chunxia¹  Wang, Kai¹ 

[1] Department of Medical Engineering and Technology, Xinjiang Medical University

关键词: SIR epidemic model;    Extinction;    Persistence in mean;    Vertical transmission;    Media coverage;   

DOI  :  10.1186/s13662-020-03145-3

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we study a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage. For the deterministic model, we give the basic reproduction number$R_{0}$ which determines the extinction or prevalence of the disease. In addition, for the stochastic model, we prove existence and uniqueness of the positive solution, and extinction and persistence in mean. Furthermore, we give numerical simulations to verify our results.

【 授权许可】

CC BY