Modelling and Numerical Simulation of Harvested Prey –Predator System Incorporating A Prey Refuge

Abstract

prey-predator is defined as an interaction between the prey and predator in ecosystem.  However, over-harvesting of wildlife resources is an important challenge facing protected area in Africa, a better understanding of the nature would improve the way in which it is managed.

This paper describes Modelling harvested prey–predator model incorporating a prey refuge in which a prey and predator species are affected by over-harvesting. The intention is to investigate the impacts of over-harvesting and make a possible suggestion on how to alleviate the problem. The results obtained from theoretical and numerical analysis of the prey-predator with harvesting showed that, overharvesting affect the prey-predator species negatively. However, the results obtained from numerical analysis of the prey-predator model with control strategies showed that catchibility coefficient and prey refuge has a great impact on both prey and predator species on their population densities.

Keywords: prey-predator system, harvesting, incorporating a prey refuge