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	CODIMENSION 3 B-T BIFURCATIONS IN AN EPIDEMIC MODEL WITH A NONLINEAR INCIDENCE
	Li, Chengzhi ; Li, Jianquan ; Ma, Zhien
	2015
关键词	Epidemic model Bogdanov-Takens bifurcation codimension three INCIDENCE RATES BEHAVIOR CYCLES
英文摘要	It was shown in [11] that in an epidemic model with a nonlinear incidence and two compartments some complex dynamics can appear, such as the backward bifurcation, codimension 1 Hopf bifurcation and codimension 2 Bogdanov-Takens bifurcation. In this paper we prove that for the same model the codimension of Bogdanov-Takens bifurcation can be 3 and is at most 3. Hence, more complex new phenomena, such as codimension 2 Hopf bifurcation, codimension 2 homoclinic bifurcation and semi-stable limit cycle bifurcation, exhibit. Especially, the system can have and at most have 2 limit cycles near the positive singularity.; Mathematics, Applied; SCI(E); 0; ARTICLE; licz@math.pku.edu.on; jianq_li@263.net; zhma@mail.xjtu.edu.cn; 4; 1107-1116; 20
语种	英语
出处	SCI
出版者	discrete and continuous dynamical systems series b
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314209]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, Chengzhi,Li, Jianquan,Ma, Zhien. CODIMENSION 3 B-T BIFURCATIONS IN AN EPIDEMIC MODEL WITH A NONLINEAR INCIDENCE. 2015-01-01.

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