Release of Breeding Suppression Time Delay Predator-Prey Model

A theoretical model where prey due to short term heavy predation pressure temporarily suppress breeding and restart breeding when in future predation pressure becomes less. The predator consume both suppressor and breeder of the prey and this prey population is more prone to predation at higher densities. Equilibrium and stability analysis will be carried out. Taking time delay as a bifurcation parameter it will be analyzed that Hopf bifurcation could occur.