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

doi:10.1016/j.physa.2019.121548

	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
	2019-10
发表期刊	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
ISSN	0378-4371
卷号	531
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.
关键词	SIRS epidemic model Extinction Stationary distribution Stochastic perturbation
DOI	10.1016/j.physa.2019.121548
收录类别	SCI ; SCIE
语种	英语
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
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000482494100038
出版者	ELSEVIER
EI入藏号	20192507075832
EI主题词	Stochastic models
EI分类号	461.7 Health Care - 741.1 Light/Optics - 922.1 Probability Theory - 961 Systems Science
引用统计	被引频次：32[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/31524
专题	材料科学与工程学院理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
第一作者单位	材料科学与工程学院
通讯作者单位	材料科学与工程学院
第一作者的第一单位	材料科学与工程学院
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).

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