The Dynamical Analysis of a Prey-Predator Model with a Refuge-Stage Structure Prey Population

Raid Kamel Naji, Salam Jasim Majeed
2016 International Journal of Differential Equations  
We proposed and analyzed a mathematical model dealing with two species of prey-predator system. It is assumed that the prey is a stage structure population consisting of two compartments known as immature prey and mature prey. It has a refuge capability as a defensive property against the predation. The existence, uniqueness, and boundedness of the solution of the proposed model are discussed. All the feasible equilibrium points are determined. The local and global stability analysis of them
more » ... investigated. The occurrence of local bifurcation (such as saddle node, transcritical, and pitchfork) near each of the equilibrium points is studied. Finally, numerical simulations are given to support the analytic results.
doi:10.1155/2016/2010464 fatcat:aruhchoe4reolbcoutjqb43khy