Stable Periodic Orbits for a Predator-Prey Model with Delay

Abstract

In this paper we consider a predator-prey model with time lag which improves upon that proposed by Cavani and Farkas [1994, Acta Math. Hungar.63(3), 213-229]. We show that when the model has exactly one non-trivial unstable and hyperbolic equilibrium there exists a stable periodic orbit. © 2000 Academic Press.