On the Dynamics of Two-consumers-one-resource Competing Systems with Beddington-DeAngelis Functional Response

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题名:	On the Dynamics of Two-consumers-one-resource Competing Systems with Beddington-DeAngelis Functional Response
作者:	Hsu, Sze-Bi;Ruan, Shigui;Yang, Ting-Hui
贡献者:	淡江大學數學學系
关键词:	Predator-prey system;Beddington-DeAngelis;extinction;uniform persistence;Lyapunov function;global stability;relaxation oscillations
日期:	2013-11-01
上传时间:	2014-04-14 18:40:56 (UTC+8)
出版者:	American Institute of Mathematical Sciences
摘要:	In this paper we study a two-consumers-one-resource competing system with Beddington-DeAngelis functional response. The two consumers competing for a renewable resource have intraspecific competition among their own populations. Firstly we investigate the extinction and uniform persistence of the predators, local and global stability of the equilibria, and existence of Hopf bifurcation at the positive equilibrium. Then we compare the dynamic behavior of the system with and without interference effects. Analytically we study the competition of two identically species with different interference effects. We also study the relaxation oscillation in the case of interference effects. Finally we present extensive numerical simulations to understand the interference effects on the competition outcomes.
關聯:	Discrete and Continuous Dynamical Systems - Series B 18(9), pp.2331-2353
DOI:	10.3934/dcdsb.2013.18.2331
显示于类别:	[數學學系暨研究所] 期刊論文

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