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	Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size
	Liu, Shitao1; Zhang, Liang1; Zhang, Xiao-Bing2; Li, Aibing1
刊名	INTERNATIONAL JOURNAL OF BIOMATHEMATICS
	2019-01
卷号	12期号:1
关键词	Stochastic heroin epidemic model Lyapunov function extinction stationary distribution sensitivity analysis
ISSN号	1793-5245
DOI	10.1142/S1793524519500050
英文摘要	We investigate a stochastic heroin epidemic model with bilinear incidence and varying population size. Sufficient criteria for the extinction of the drug abusers and the existence of ergodic stationary distribution for the model are established by constructing suitable stochastic Lyapunov functions. By analyzing the sensitivity of the threshold of spread, we obtain that prevention is better than cure. Numerical simulations are carried out to confirm the analytical results.
资助项目	National Natural Science Foundation of China[11601405]
WOS研究方向	Mathematical & Computational Biology
语种	英语
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000457466600005
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32235]
专题	理学院 材料科学与工程学院
通讯作者	Zhang, Liang
作者单位	1.Northwest A&F Univ, Coll Sci, Yangling 712100, Shaanxi, Peoples R China 2.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Liu, Shitao,Zhang, Liang,Zhang, Xiao-Bing,et al. Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS,2019,12(1).
APA	Liu, Shitao,Zhang, Liang,Zhang, Xiao-Bing,&Li, Aibing.(2019).Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size.INTERNATIONAL JOURNAL OF BIOMATHEMATICS,12(1).
MLA	Liu, Shitao,et al."Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size".INTERNATIONAL JOURNAL OF BIOMATHEMATICS 12.1(2019).

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