Extinction and stationary distribution of a stochastic SIRS epidemic model with standard incidence rate and partial immunity

doi:10.1016/j.physa.2019.121548

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	Extinction and stationary distribution of a stochastic SIRS epidemic model with standard incidence rate and partial immunity
	Zhang, Xiao-Bing; Wang, Xiao-Dong; Huo, Hai-Feng
刊名	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
	2019-10
卷号	531
关键词	SIRS epidemic model Extinction Stationary distribution Stochastic perturbation
ISSN号	0378-4371
DOI	10.1016/j.physa.2019.121548
英文摘要	In this paper, a stochastic SIRS model with standard incidence rate and partial temporary immunity is proposed. The sufficient conditions of the extinction and the existence of a stationary probability measure for the disease are established. Our results reveal that random perturbations in the environment can restrain the spread of disease. That is, the deterministic model neglecting random perturbations overestimates the ability of the disease to spread. The numerical simulations are carried out to demonstrate the analytical results. (C) 2019 Elsevier B.V. All rights reserved.
资助项目	Natural Science Foundation of China[11661050][11861044] ; NSF of Gansu Province of China[061707] ; Development Program for HongLiu Outstanding Young Teachers in Lanzhou University of Technology, People's Republic of China[Q201308]
WOS研究方向	Physics
语种	英语
出版者	ELSEVIER
WOS记录号	WOS:000482494100038
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/31524]
专题	理学院材料科学与工程学院学科建设与学位办公室
通讯作者	Zhang, Xiao-Bing
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Xiao-Bing,Wang, Xiao-Dong,Huo, Hai-Feng. Extinction and stationary distribution of a stochastic SIRS epidemic model with standard incidence rate and partial immunity[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2019,531.
APA	Zhang, Xiao-Bing,Wang, Xiao-Dong,&Huo, Hai-Feng.(2019).Extinction and stationary distribution of a stochastic SIRS epidemic model with standard incidence rate and partial immunity.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,531.
MLA	Zhang, Xiao-Bing,et al."Extinction and stationary distribution of a stochastic SIRS epidemic model with standard incidence rate and partial immunity".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 531(2019).