QUASIPERIODIC SOLUTIONS AND CHAOS IN A PERIODICALLY FORCED PREDATOR–PREY MODEL WITH AGE STRUCTURE FOR PREDATOR

Abstract

We subject the classical Volterra predator–prey ecosystem model with age structure for predator to periodic forcing, which in its unforced state has a globally stable focus as its equilibrium. The periodic forcing is affected by assuming a periodic variation in the intrinsic growth rate of prey. By using the Poincaré surface-of-section technique and numerical experiments, an abundance of periodic solutions, quasiperiodic solutions and chaotic solutions are revealed. The route of transitions to chaos were found to be very complex which include quasiperiodicity and frequency locking.