On the dynamics of two-consumers-one-resource competing systems with beddington-deangelis functional response

Sze Bi Hsu, Shigui Ruan, Ting Hui Yang

Research output: Contribution to journalArticle

16 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)2331-2353
Number of pages23
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume18
Issue number9
DOIs
StatePublished - Nov 1 2013

Keywords

  • Beddington-DeAngelis
  • Extinction
  • Global stability
  • Lyapunov function
  • Predator-prey system
  • Relaxation oscillations
  • Uniform per-sistence

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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