The Effects of Harvesting and Time Delay on Prey-predator Systems

In this paper, we are interested in studying the stability of the equilibrium points of harvesting of a prey-predator system with time delay in the growth rate of the predator population. Firstly, we state the formulation of the model. Secondly, we drive different conditions stability of the equilibrium of the system, respectively. Constant effort harvesting of the prey has been incorporated in the model to cater for the effects of human poaching. Finally, we illustrate our results by some examples. The objective of this paper is to study the effects of harvesting and time delay on the dynamics of predator-prey system.