On the Dynamics of Two-consumers-one-resource Competing Systems with Beddington-DeAngelis Functional Response
學年 102
學期 1
出版（發表）日期 2013-11-01
作品名稱 On the Dynamics of Two-consumers-one-resource Competing Systems with Beddington-DeAngelis Functional Response
作品名稱（其他語言）
著者 Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
單位 淡江大學數學學系
出版者 Springfield: American Institute of Mathematical Sciences
著錄名稱、卷期、頁數 Discrete and Continuous Dynamical Systems - Series B 18(9), pp.2331-2353
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.
關鍵字 Predator-prey system;Beddington-DeAngelis;extinction;uniform persistence;Lyapunov function;global stability;relaxation oscillations
語言 en_US
ISSN 1531-3492;1553-524X
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Yang, Ting-Hui
審稿制度 是
國別 USA
公開徵稿
出版型式 ,紙本
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