Title: Dynamical Behaviors of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response.
Authors: YOON-HO CHOI; HUNKI BAEK
Abstract: In this paper, we consider a discrete predator-prey system obtained from a continuous Beddington-DeAngelis type predator-prey system by using the method in [9]. In order to investigate dynamical behaviors of this discrete system, we find out all equi-librium points of the system and study their stability by using eigenvalues of a Jacobian matrix for each equilibrium points. In addition, we illustrate some numerical examples in order to substantiate theoretical results.
Subjects: PREDATION; DETERMINANTS (Mathematics); DISCRETE systems; ECONOMIC equilibrium; MATHEMATICAL models; JACOBIAN matrices
Publication: Kyungpook Mathematical Journal, 2016, Vol 56, Issue 1, p47
ISSN: 1225-6951
Publication type: Academic Journal
DOI: 10.5666/KMJ.2016.56.1.47

Dynamical Behaviors of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response.

YOON-HO CHOI; HUNKI BAEK