Local Stability Analysis: Predator Prey System with Constant Rate of Harvesting

Abstract

The effect of constant-rate harvesting has been investigated by many authors that there are very rich and interesting behaviours in the dynamics of the predator-prey system. This paper studies the effect of harvesting on the predator-prey model of N.H.Mohammad. It is assumed in this study that the prey outside the refuge and predator are harvested with constant rates. The stability of the system when prey inside the refuge is growing exponentially is analyzed explicitly. Bifurcation point has been computed and numerical simulations are made in this paper.