Scenarios Leading to Chaos in a Forced Lotka-Volterra Model

Abstract

A predator-prey ecosystem is proposed to investigate roads to chaos in a differential system. In this model, Malthusian rate of prey is driven by a periodic external force. Feigenbaum scenarios and a torus to chaos with frequency locking as 1→torus→5→chaos→4→chaos→3→chaos→5→chaos→4→2 are observed numerically and their scaling properties and multi-basins are investigated.