Publication

Abstract : Here we investigate the behavior of a prey-predator system in light of linear prey harvesting and Beddington-DeAngalis functional responses for prey herd behavior. The availability of extra food for system’s boundedness is calculated. The faster rate of harvesting can render the system free of prey has been calculated. All equilibrium’s existence as well as each system's equilibrium point's stability, local stability and also their global stability analysis has been investigated. Results clearly show that if the pace of harvesting is regulated at an appropriate level that is lower than the maximum sustainable yield then ecological balance is preserved, both populations will coexist.