Stability and bifurcation analysis of a ratio dependent discrete prey-predator model with linear harvesting

摘要

In this paper we have analyzed a discrete prey-predator model with ratio dependent functional response and linear harvesting rate in terms of the predator species. Algebraically we have discussed the existence of fixed points, their feasibility and stability. Then Neimark-Sacker bifurcation and chaos analysis of the model have been studied algebraically with respect to the hervesting coefficient. By numerical simulation theoretical results have been justied. Finally an idea of chaos control have been proposed.