Note on the Stability Property of the Vanishing Equilibrium Point of an Ecological System Consisting of a Predator and Stage Structure Prey

Abstract

We revisit the stability property of an ecological system consisting of a predator and stage structure prey which was proposed by Raid Kamel Naji and Salam Jasim Majeed. By constructing some suitable Lyapunov function and applying the differential inequality theory, we show that the conditions which ensure the local stability of the vanishing point are enough to ensure its global stability. Our result supplements and complements some known results.