HOPF BIFURCATION ANALYSIS OF A PREDATOR-PREY MODEL BASED ON NUTRITION KINETICS

摘要

In this paper, the Hopf bifurcation of a predator-prey model with one parameter based on nutrition kinetics is investigated. First, the existence conditions of Hopf bifurcation are obtained. Then, the stability of the equilibrium at the critical parameter value is studied. Thirdly, the simulations which the predation efficiency k influences the location of the theoretical equilibrium point and the oscillatory behavior of the coexisting system are given.