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Permanence of a Three-species Food Chain System with Impulsive Perturbations

Hunki Baek|Hung Hwan Lee
경북대학교 자연과학대학 수학과|2008.09|Kyungpook Mathematical Journal|제48권 제3호|pp. 503-514

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키워드

impulsive differential equationsFloquet thoeryLotka-Volterra three-species food chain systemscomparison theorem.
주제분류수학

초록

We investigate a three-species food chain system with Lotka-Volterra func- tional response and impulsive perturbations. In [23], Zhang and Chen have studied the system. They have given conditions for extinction of lowest-level prey and top predator and considered the local stability of lower-level prey and top predator eradication periodic solution. However, they did not give a condition for permanence, which is one of important facts in population dynamics. In this paper, we establish the condition for permanence of the three-species food chain system with impulsive perturbations. In addition, we give some numerical examples.

Abstract

We investigate a three-species food chain system with Lotka-Volterra func- tional response and impulsive perturbations. In [23], Zhang and Chen have studied the system. They have given conditions for extinction of lowest-level prey and top predator and considered the local stability of lower-level prey and top predator eradication periodic solution. However, they did not give a condition for permanence, which is one of important facts in population dynamics. In this paper, we establish the condition for permanence of the three-species food chain system with impulsive perturbations. In addition, we give some numerical examples.

참고문헌 (28)

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관련 논문AI추천

Stability for a Holling Type IV Food Chain System With Impulsive PerturbationsHunki Baek, Younghae Do경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제3호Extinction and Permanence of a Holling I Type Impulsive Predator-prey Model정창도, Hunki Baek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호A Holling type II food chain system with biological and chemical controlsHunki Baek대한수학회 · 대한수학회논문집2009 · 제24권 제2호Complex Dynamic Behaviors of an Impulsively Controlled Predator-prey System with Watt-type Functional Response백헌기경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호Analysis of a stage-structured predator-prey system with impulsive perturbations and time delaysAn Li, Senlin Li, Xinyu Song대한수학회 · 대한수학회지2009 · 제46권 제1호On the Dynamical Behavior of a Two-Prey One-Predator System with Two-Type Functional Responses백헌기경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호

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