淡江大學機構典藏:Item 987654321/97711
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/97711


    Title: On the Dynamics of Two-consumers-one-resource Competing Systems with Beddington-DeAngelis Functional Response
    Authors: Hsu, Sze-Bi;Ruan, Shigui;Yang, Ting-Hui
    Contributors: 淡江大學數學學系
    Keywords: Predator-prey system;Beddington-DeAngelis;extinction;uniform persistence;Lyapunov function;global stability;relaxation oscillations
    Date: 2013-11-01
    Issue Date: 2014-04-14 18:40:56 (UTC+8)
    Publisher: American Institute of Mathematical Sciences
    Abstract: 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.
    Relation: Discrete and Continuous Dynamical Systems - Series B 18(9), pp.2331-2353
    DOI: 10.3934/dcdsb.2013.18.2331
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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