Rich dynamical behaviours for predator-prey model with weak Allee effect

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	Rich dynamical behaviours for predator-prey model with weak Allee effect
	Lai, Xiaohong ; Liu, Shengqiang ; Lin, Rongzhen ; Lin RZ(林荣珍)
刊名	http://dx.doi.org/10.1080/00036811.2010.483557
	2010
关键词	NONMONOTONIC FUNCTIONAL-RESPONSE GLOBAL BIFURCATION POSITIVE SOLUTIONS HOPF-BIFURCATION SYSTEM POPULATIONS STABILITY SUBJECT
英文摘要	National Natural Science Foundation of China [10601042]; Science Research Foundation in Harbin Institute of Technology [HITC200714]; program of excellent Team in Harbin Institute of Technology; The weak Allee effect on the predator is introduced into the classic predator-prey model of Lotka-Volterra type. Global qualitative and bifurcation analyses are combined to determine the global dynamics of the model. It is shown that the weak Allee effect can bring rich and complicated dynamics to the previous simple model, such as the saddle-node bifurcation, subcritical and supercritical Hopf bifurcations, and Bogdanov-Takens bifurcations, implying that weak Allee effect can be one of the simple reasons for many complicated behaviours in the predator-prey communities.
语种	英语
出版者	APPL ANAL
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91037]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Lai, Xiaohong,Liu, Shengqiang,Lin, Rongzhen,et al. Rich dynamical behaviours for predator-prey model with weak Allee effect[J]. http://dx.doi.org/10.1080/00036811.2010.483557,2010.
APA	Lai, Xiaohong,Liu, Shengqiang,Lin, Rongzhen,&林荣珍.(2010).Rich dynamical behaviours for predator-prey model with weak Allee effect.http://dx.doi.org/10.1080/00036811.2010.483557.
MLA	Lai, Xiaohong,et al."Rich dynamical behaviours for predator-prey model with weak Allee effect".http://dx.doi.org/10.1080/00036811.2010.483557 (2010).