Publisher : Department of Mathematics, Kyungpook National University
DOI : 10.5666/KMJ.2008.48.3.503
Title & Authors
Permanence of a Three-species Food Chain System with Impulsive Perturbations Baek, Hunki; Lee, Hung-Hwan;
We investigate a three-species food chain system with Lotka-Volterra functional response and impulsive perturbations. In , 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.
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