Bifurcation analysis of a food chain system incorporating time delay and the disease spreading among prey species

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	Bifurcation analysis of a food chain system incorporating time delay and the disease spreading among prey species
	Meng, Xinyou; Qin, Nini
	2018-07-06
会议日期	June 9, 2018 - June 11, 2018
会议地点	Shenyang, China
DOI	10.1109/CCDC.2018.8407108
页码	68-73
英文摘要	In this paper, a food chain system incorporating time delay and the disease spreading among prey species is proposed. The positive of such system is given. In the presence of time delay, some sufficient conditions of the local stability of the positive equilibrium and the existence of Hopf bifurcation are obtained by analyzing the corresponding characteristic equation, and the properties of Hopf bifurcation are showed by using the normal form theory and center manifold theorem. Some simulations are given to support our analytical results. © 2018 IEEE.
会议录	Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018
会议录出版者	Institute of Electrical and Electronics Engineers Inc.
语种	英语
内容类型	会议论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/117904]
专题	理学院
作者单位	Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou; 730050, China
推荐引用方式 GB/T 7714	Meng, Xinyou,Qin, Nini. Bifurcation analysis of a food chain system incorporating time delay and the disease spreading among prey species[C]. 见:. Shenyang, China. June 9, 2018 - June 11, 2018.