Hopf Bifurcation Analysis of a Predator Prey System Involving Switching

Abstract

This paper complements the analysis of Khan, Bhatt and Jaju [1994]. They have studied non-switching and switching models with one predator and two prey species. In the former model predator feeds prey species indiscriminately while in the second model predator switches from a rare species towards the most abundant one. Using conversion rates of prey to predators as the bifurcation parameter it has been shown that Hopf bifurcation can occur in both models.