Dynamics and Numerical Simulation of Stage Structure Prey-Predator Models

Abstract

In the present paper, we studied a prey-predator model with stage-structure for prey. Prey populations which are divided into subpopulations, one is immature prey and the other is mature prey. We investigate the stability of prey-predator models as well as local analysis of four equilibrium obtained and analyzed how the dynamical behavior if the solution is stable or unstable. Numerical simulations are performed from the system around the equilibrium point to show dynamic behavior around that point with several different conditions andinitial values.