THE ASYMPTOTIC BEHAVIORS OF A STOCHASTIC SOCIAL EPIDEMIC MODEL WITH MULTI-PERTURBATION

doi:10.11948/2018.272

	THE ASYMPTOTIC BEHAVIORS OF A STOCHASTIC SOCIAL EPIDEMIC MODEL WITH MULTI-PERTURBATION
	Wang, Xunyang 1; Yang, Qingshan 3; Huo, Haifeng 1,2
刊名	JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
	2018-02
卷号	8 期号:1 页码:272-295
关键词	Stochastic differential equation Ergodic positive recurrence stochastic Lyapunov functional
ISSN号	2156-907X
DOI	10.11948/2018.272
英文摘要	Alcohol abuse is a major social problem, which is often called social epidemic, for the some similarities to the classical infectious diseases. In this paper, we formulated a new stochastic alcoholism model based on the deterministic model proposed in [24], with the mortalities of all populations as well as the contact infected coefficient are all perturbed. Based on this model, we investigate the long-term stochastic dynamics behaviors of two equilibria of the corresponding deterministic model and point out the effect of random disturbance on the stability of the system. Finally, we carry out numerical simulations to support our theoretical results.
资助项目	NSF of Gansu Province[148RJZA024]
WOS研究方向	Mathematics
语种	英语
出版者	WILMINGTON SCIENTIFIC PUBLISHER, LLC
WOS记录号	WOS:000423714500015
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32808]
专题	学科建设与学位办公室材料科学与工程学院电气工程与信息工程学院理学院
通讯作者	Yang, Qingshan
作者单位	1.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China 2.Lanzhou Univ Technol, Coll Elect & Informat Engn, Lanzhou 730050, Gansu, Peoples R China 3.Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
推荐引用方式 GB/T 7714	Wang, Xunyang,Yang, Qingshan,Huo, Haifeng. THE ASYMPTOTIC BEHAVIORS OF A STOCHASTIC SOCIAL EPIDEMIC MODEL WITH MULTI-PERTURBATION[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION,2018,8(1):272-295.
APA	Wang, Xunyang,Yang, Qingshan,&Huo, Haifeng.(2018).THE ASYMPTOTIC BEHAVIORS OF A STOCHASTIC SOCIAL EPIDEMIC MODEL WITH MULTI-PERTURBATION.JOURNAL OF APPLIED ANALYSIS AND COMPUTATION,8(1),272-295.
MLA	Wang, Xunyang,et al."THE ASYMPTOTIC BEHAVIORS OF A STOCHASTIC SOCIAL EPIDEMIC MODEL WITH MULTI-PERTURBATION".JOURNAL OF APPLIED ANALYSIS AND COMPUTATION 8.1(2018):272-295.