ANALYSIS OF THE BINGE DRINKING MODELS WITH DEMOGRAPHICS AND NONLINEAR INFECTIVITY ON NETWORKS

doi:10.11948/2018.1535

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	ANALYSIS OF THE BINGE DRINKING MODELS WITH DEMOGRAPHICS AND NONLINEAR INFECTIVITY ON NETWORKS
	Xiang, Hong; Wang, Yanyan; Huo, Haifeng
刊名	JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
	2018-10
卷号	8 期号:5 页码:1535-1554
关键词	Binge drinking demographics stability nonlinear infectivity weight networks
ISSN号	2156-907X
DOI	10.11948/2018.1535
英文摘要	Two new binge drinking models incorporating demographics on different weighted networks are investigated. First, the dynamics of the drinking model with the linear infectivity phi(k) = k on the unweighted network is investigated. The basic reproduction number R-0 and the uniqueness and stability of all the equilibria are derived. Second, the model with the nonlinear infectivity phi(k) = k(a)(0 < a < 1) and two kinds of weights is introduced, and stability of all the equilibria is studied. At last, some simulations are presented to illustrate our analytic results. Our results show that the spread of drinking behaviors on the fixed weighted network is the most easily to break out, and the infectivity exponent also has a greater effect on the spread of drinking behaviors than that of the weight exponent.
资助项目	NNSF of China[11861044] ; NSF of Gansu Province of China[148RJZA024]
WOS研究方向	Mathematics
语种	英语
出版者	WILMINGTON SCIENTIFIC PUBLISHER, LLC
WOS记录号	WOS:000445701500014
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32406]
专题	理学院材料科学与工程学院学科建设与学位办公室
通讯作者	Huo, Haifeng
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Xiang, Hong,Wang, Yanyan,Huo, Haifeng. ANALYSIS OF THE BINGE DRINKING MODELS WITH DEMOGRAPHICS AND NONLINEAR INFECTIVITY ON NETWORKS[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION,2018,8(5):1535-1554.
APA	Xiang, Hong,Wang, Yanyan,&Huo, Haifeng.(2018).ANALYSIS OF THE BINGE DRINKING MODELS WITH DEMOGRAPHICS AND NONLINEAR INFECTIVITY ON NETWORKS.JOURNAL OF APPLIED ANALYSIS AND COMPUTATION,8(5),1535-1554.
MLA	Xiang, Hong,et al."ANALYSIS OF THE BINGE DRINKING MODELS WITH DEMOGRAPHICS AND NONLINEAR INFECTIVITY ON NETWORKS".JOURNAL OF APPLIED ANALYSIS AND COMPUTATION 8.5(2018):1535-1554.