Complex dynamics in an alcoholism model with the impact of Twitter

doi:10.1016/j.mbs.2016.08.009

	Complex dynamics in an alcoholism model with the impact of Twitter
	Huo, Hai-Feng; Zhang, Xiang-Ming
刊名	Mathematical Biosciences
	2016-11-01
卷号	281 页码:24-35
关键词	Cell proliferation Convergence of numerical methods Sensitivity analysis Social networking (online) Basic reproduction number Basic reproductive number Bifurcation parameter Center manifold theory Complex dynamics Multiple equilibrium Transmission coefficients Twitter
ISSN号	00255564
DOI	10.1016/j.mbs.2016.08.009
英文摘要	A novel alcoholism model which involves impact of Twitter is formulated. It is shown that the model has multiple equilibria. Stability of all the equilibria are obtained in terms of the basic reproductive number R0. Using the center manifold theory, the occurrence of backward and forward bifurcation for a certain defined range of R0 are established. Furthermore, the existence of Hopf bifurcation is also established by regarding the transmission coefficient β as the bifurcation parameter. Numerical simulations and sensitivity analysis on a few parameters are also carried out. Our results show that Twitter can serve as a good indicator of alcoholism model and affect the spread of the drinking. © 2016 Elsevier Inc.
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
语种	英语
出版者	Elsevier Inc.
WOS记录号	WOS:000387191900003
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/150350]
专题	学科建设与学位办公室
作者单位	Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou; Gansu; 730050, China
推荐引用方式 GB/T 7714	Huo, Hai-Feng,Zhang, Xiang-Ming. Complex dynamics in an alcoholism model with the impact of Twitter[J]. Mathematical Biosciences,2016,281:24-35.
APA	Huo, Hai-Feng,&Zhang, Xiang-Ming.(2016).Complex dynamics in an alcoholism model with the impact of Twitter.Mathematical Biosciences,281,24-35.
MLA	Huo, Hai-Feng,et al."Complex dynamics in an alcoholism model with the impact of Twitter".Mathematical Biosciences 281(2016):24-35.