Switching effect of predation on global large size prey species exhibiting group defence

摘要

The prey–predator model where the prey species exhibits group defence is considered. This mathematical model with one prey species living in two different habitats and a predator where a prey exhibits group defence is studied. The prey species is able to migrate between two different habitats due to change in seasonal conditions. The Routh–Hurwitz stability criteria for a critical point of the system where all species co-exist is investigated. Using rate of conversion of the prey to predator as bifurcation parameter, conditions for a Hopf bifurcation to occur are derived.