Stability of an SAIRS alcoholism model on scale-free networks

doi:10.1016/j.physa.2017.01.012

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	Stability of an SAIRS alcoholism model on scale-free networks
	Xiang, Hong; Liu, Ying-Ping; Huo, Hai-Feng
刊名	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
	2017-05
卷号	473 页码:276-292
关键词	Alcoholism Scale-free networks Equilibrium Stability Global attractivity
ISSN号	0378-4371
DOI	10.1016/j.physa.2017.01.012
英文摘要	A new SAIRS alcoholism model with birth and death on complex heterogeneous networks is proposed. The total population of our model is partitioned into four compartments: the susceptible individual, the light problem alcoholic, the heavy problem alcoholic and the recovered individual. The spread of alcoholism threshold R-0 is calculated by the next generation matrix method. When R-0 < 1, the alcohol free equilibrium is globally asymptotically stable, then the alcoholics will disappear. When R-0 > 1, the alcoholism equilibrium is global attractivity, then the number of alcoholics will remain stable and alcoholism will become endemic. Furthermore, the modified SAIRS alcoholism model on weighted contact network is introduced. Dynamical behavior of the modified model is also studied. Numerical simulations are also presented to verify and extend theoretical results. Our results show that it is very important to treat alcoholics to control the spread of the alcoholism. (C) 2017 Elsevier B.V. All rights reserved.
资助项目	NNSF of China[11461041] ; NSF of Gansu Province[148RJZA024]
WOS研究方向	Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000394061500027
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/33278]
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, Hai-Feng
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,Liu, Ying-Ping,Huo, Hai-Feng. Stability of an SAIRS alcoholism model on scale-free networks[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2017,473:276-292.
APA	Xiang, Hong,Liu, Ying-Ping,&Huo, Hai-Feng.(2017).Stability of an SAIRS alcoholism model on scale-free networks.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,473,276-292.
MLA	Xiang, Hong,et al."Stability of an SAIRS alcoholism model on scale-free networks".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 473(2017):276-292.