Bifurcation analysis of a prey-predator model with intra-specific competition between predators and harvesting

Abstract

The paper presents a two-species prey-predator scenario in which both exhibit swarm behaviour. As a result, due to this co-operative behaviour after harvesting an intra-specific competition occurs between predators . Our research demonstrates that the system's stability is significantly influenced by their inter-dependent competitiveness and joint harvesting effort. We start out by talking about the model's Positivity and Boundedness. The equillibria are analysed and displayed. A Hopf-Bifurcation criterion is discovered. The next step is to do numerical simulations to help explain some of the mathematical findings. We will better grasp the dynamics of predator-prey interaction in natural environments with the help of this model.