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

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경북대학교 자연과학대학 수학과|2016.03|Kyungpook Mathematical Journal|제56권 제1호|pp. 47-55

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키워드

sourcesinka discrete systemBeddington-DeAngelis functional response
주제분류수학

초록

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 equilibrium 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.

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 equilibrium 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.

참고문헌 (19)

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