The stationary distribution of a stochastic SIQS epidemic model with varying total population size

doi:10.1016/j.aml.2020.106974

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	The stationary distribution of a stochastic SIQS epidemic model with varying total population size
	Zhang, Xiao-Bing; Liu, Rui-Jie
刊名	Applied Mathematics Letters
	2021-06-01
卷号	116
关键词	Epidemiology Lyapunov functions Population statistics Stochastic systems Epidemic modeling Infectious disease Multiple perturbations Population sizes Stationary distribution Statistical characteristics Stochastic lyapunov functions
ISSN号	08939659
DOI	10.1016/j.aml.2020.106974
英文摘要	In this paper, based on our recent work (Zhang and Zhang, 2021), we introduce multiple perturbations in an SIS epidemic model with isolation and varying total population size. We present the threshold Rs of the model. When Rs is less than 1, we prove that the disease will die out. When Rs is greater than 1, we construct an appropriate stochastic Lyapunov function and using the well-known Khasminskii's theory, prove the existence of the stationary distribution. This has important significance to obtain the statistical characteristics of the infectious disease such as the mean, variance and so on. © 2020 Elsevier Ltd
WOS研究方向	Mathematics
语种	英语
出版者	Elsevier Ltd
WOS记录号	WOS:000623682700035
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/147210]
专题	理学院
作者单位	Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou; 730050, China
推荐引用方式 GB/T 7714	Zhang, Xiao-Bing,Liu, Rui-Jie. The stationary distribution of a stochastic SIQS epidemic model with varying total population size[J]. Applied Mathematics Letters,2021,116.
APA	Zhang, Xiao-Bing,&Liu, Rui-Jie.(2021).The stationary distribution of a stochastic SIQS epidemic model with varying total population size.Applied Mathematics Letters,116.
MLA	Zhang, Xiao-Bing,et al."The stationary distribution of a stochastic SIQS epidemic model with varying total population size".Applied Mathematics Letters 116(2021).