Local Bifurcation and Persistence of an Ecological System Consisting of a Predator and Stage Structured Prey


In this paper, the conditions of persistence of a mathematical model, consists from a predator interacting with stage structured prey are established. The occurrence of local bifurcation and Hopf bifurcation are investigated. Finally, in order to confirm our obtained analytical results, numerical simulations have been done for a hypothetical set of parameter values .