Dynamics and Bifurcation Analysis of a Predator-Prey System with Monod-Haldane Functional Response

Abstract

This paper studies the bifurcation analysis of a prey-predator model with Monod-Haldane functional response with respect to the prey harvesting parameter. Both the prey and predator species are harvested using the conventional Catch-Per-Unit-Effort (CPUE) harvesting strategy. We study and supplement the proposed model by studying the bifurcation analyses of the system with respect to the harvesting parameter. We study the local stability criteria of the system via Routh-Hurwitz criterion. From the numerical simulations, the system undergoes Transcritical bifurcation, Hopf bifurcation and Bistability behaviour at different values of the prey harvesting parameter. The results imply that prey harvesting parameter is crucial to influence the persistence and extinction properties in the proposed system.