Bifurcation analysis of an age-structured alcoholism model

doi:10.1080/17513758.2018.1535668

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Bifurcation analysis of an age-structured alcoholism model
	Guo, Zhong-Kai 1,2; Huo, Hai-Feng 1,3; Xiang, Hong 3
刊名	JOURNAL OF BIOLOGICAL DYNAMICS
	2018-11
卷号	12 期号:1 页码:987-1011
关键词	Age structure alcoholism model stability Hopf bifurcation
ISSN号	1751-3758
DOI	10.1080/17513758.2018.1535668
英文摘要	In this paper, we investigate a new alcoholism model in which alcoholics have age structure. We rewrite the model as an abstract nondensely defined Cauchy problem and obtain the condition which guarantees the existence of the unique positive steady state. By linearizing the model at steady state and analyzing the associated characteristic transcendental equations, we study the local asymptotic stability of the steady state. Furthermore, by using Hopf bifurcation theorem in Liu et al. (Z. Angew. Math. Phys. 62 (2011) 191-222), we show that Hopf bifurcation occurs at the positive steady state when bifurcating parameter crosses some critical values. Finally, we perform some numerical simulations to illustrate our theoretical results and give a brief conclusion.
资助项目	NNSF of China[11861044][11661050] ; NSF of Gansu Province[148RJZA024]
WOS研究方向	Environmental Sciences & Ecology ; Mathematical & Computational Biology
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000454728800001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32348]
专题	理学院材料科学与工程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	Guo, Zhong-Kai; Huo, Hai-Feng; Xiang, Hong
作者单位	1.Lanzhou Univ Technol, Coll Elect & Informat Engn, Lanzhou, Gansu, Peoples R China 2.Lanzhou Univ Technol, Coll Technol & Engn, Dept Sci, Lanzhou, Gansu, Peoples R China 3.Lanzhou Univ Technol, Dept Appl Math, Lanzhou, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Guo, Zhong-Kai,Huo, Hai-Feng,Xiang, Hong. Bifurcation analysis of an age-structured alcoholism model[J]. JOURNAL OF BIOLOGICAL DYNAMICS,2018,12(1):987-1011.
APA	Guo, Zhong-Kai,Huo, Hai-Feng,&Xiang, Hong.(2018).Bifurcation analysis of an age-structured alcoholism model.JOURNAL OF BIOLOGICAL DYNAMICS,12(1),987-1011.
MLA	Guo, Zhong-Kai,et al."Bifurcation analysis of an age-structured alcoholism model".JOURNAL OF BIOLOGICAL DYNAMICS 12.1(2018):987-1011.