On Dynamics of Nonlinear Prey–Predator Model without Group Defense

Abstract

The present paper deals with a prey–predator model, without prey group defense. The prey species are assumed to live in two distinct habitats and the predator species has the tendency of switching between the habitats. The model is analyzed regarding to boundedness of the positive solutions, stability and bifurcation aspects for the cases where the switching index has the values n≥1. Numerical simulations are carried out to support analytical findings.