Two habitats and a predator switching model with group defense

A model which describes the interaction of one predator with two prey species is considered. Due to large size, prey species have the ability of group defense. Therefore, the predator will be attracting toward that habitats where prey are less in number due to change in seasonal conditions. The stability analysis is carried out for a critical point of the system where all species co-exist. Using rate of conversion of the prey to predator as bifurcation parameter, conditions for a Hopf bifurcation to occur are derived.