Stability Analysis of a Prey-predator Model with Holling Type II Response Function Incorporating Harvesting Rate

摘要

In this paper, a prey-predator system which has two competing predators and one prey was considered. Both competitors exhibit Holling II functional response and one of the competitors exhibits a density-dependent mortality rate. In the absence of predators, the prey obeys the logistic growth incorporating a harvesting rate. The purpose of the work is to offer mathematical analysis of the model and to discuss some significant qualitative results.