南方科技大学知识苑(SUSTech KC): SIR epidemic model with non-Lipschitz stochastic perturbations

题名	SIR epidemic model with non-Lipschitz stochastic perturbations
作者	Li，Shuang1 ; Xiong，Jie2
通讯作者	Li，Shuang
发表日期	2024-07-01
DOI	10.1016/j.spl.2024.110109
发表期刊	Statistics and Probability Letters 影响因子和分区
ISSN	0167-7152
卷号	210
摘要	This paper investigates a stochastic SIR epidemic model with non-Lipschitz coefficients in the diffusion term. Firstly, we study the existence and uniqueness of the global positive solution of this model. Then, we prove that the stochastic process has a stationary distribution, and we also establish an exact expression of the density function of the stationary distribution under certain parameter constraints. Finally, we discuss the extinction of the epidemic and the asymptotic properties around the equilibrium points of the deterministic SIR model.
关键词	Asymptotic behavior Extinction Non-Lipschitz coefficient Stationary distribution Stochastic SIR epidemic model
相关链接	[Scopus记录]
收录类别	SCI
语种	英语
学校署名	第一 ; 通讯
Scopus记录号	2-s2.0-85188739843
来源库	Scopus
引用统计
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/741068
专题	理学院_数学系深圳国际数学中心（杰曼诺夫数学中心）（筹）
作者单位	1.Department of Mathematics,Southern University of Science and Technology,Shenzhen,518055,China 2.Department of Mathematics and SUSTech International Center for Mathematics,Southern University of Science and Technology,Shenzhen,518055,China
第一作者单位	数学系
通讯作者单位	数学系
第一作者的第一单位	数学系
推荐引用方式 GB/T 7714	Li，Shuang,Xiong，Jie. SIR epidemic model with non-Lipschitz stochastic perturbations[J]. Statistics and Probability Letters,2024,210.
APA	Li，Shuang,&Xiong，Jie.(2024).SIR epidemic model with non-Lipschitz stochastic perturbations.Statistics and Probability Letters,210.
MLA	Li，Shuang,et al."SIR epidemic model with non-Lipschitz stochastic perturbations".Statistics and Probability Letters 210(2024).