Global dynamics for a multi-group alcoholism model with public health education and alcoholism age

doi:10.3934/mbe.2019080

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Global dynamics for a multi-group alcoholism model with public health education and alcoholism age
	Ma, Shuang-Hong 1,2; Huo, Hai-Feng 1,2
刊名	MATHEMATICAL BIOSCIENCES AND ENGINEERING
	2019
卷号	16 期号:3 页码:1683-1708
关键词	multi-group model public health education alcoholism age graph-theoretic approach global stability
ISSN号	1547-1063
DOI	10.3934/mbe.2019080
英文摘要	A new multi-group alcoholism model with public health education and alcoholism age is considered. The basic reproduction number R-0 is defined and mathematical analyses show that dynamics of model are determined by the basic reproduction number. The alcohol-free equilibrium P-0 of the model is globally asymptotically stable if R-0 <= 1 while the alcohol-present equilibrium P* of the model exists uniquely and is globally asymptotically stable if R-0 > 1. The Lyapunov functionals for the globally asymptotically stable of the multi-group model are constructed by using the theory of non-negative matrices and a graph-theoretic approach. Meanwhile, the combined effects of the public health education and the alcoholism age on alcoholism dynamics are displayed. Our main results show that strengthening public health education and decreasing the age of the alcoholism are very helpful for the control of alcoholism.
资助项目	NNSF of China[11461041][11661050] ; NSF of Gansu Province[148RJZA024][061706]
WOS研究方向	Mathematical & Computational Biology
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000465431200030
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32179]
专题	理学院电气工程与信息工程学院学科建设与学位办公室
通讯作者	Huo, Hai-Feng
作者单位	1.Lanzhou Univ Technol, Coll Elect & Informat Engn, Lanzhou 730050, Gansu, Peoples R China 2.Lanzhou Univ Technol, Inst Appl Math, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Ma, Shuang-Hong,Huo, Hai-Feng. Global dynamics for a multi-group alcoholism model with public health education and alcoholism age[J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING,2019,16(3):1683-1708.
APA	Ma, Shuang-Hong,&Huo, Hai-Feng.(2019).Global dynamics for a multi-group alcoholism model with public health education and alcoholism age.MATHEMATICAL BIOSCIENCES AND ENGINEERING,16(3),1683-1708.
MLA	Ma, Shuang-Hong,et al."Global dynamics for a multi-group alcoholism model with public health education and alcoholism age".MATHEMATICAL BIOSCIENCES AND ENGINEERING 16.3(2019):1683-1708.