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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.

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