Global Stability of a Predator-Prey Model with the Logistic Term

摘要

This paper is mainly to analyze stability of equilibria in a new predator-prey model,Logistic-Volterra model.It exists three different equilibria for the model.The stability of these equilibria for the model are discussed by Liapunov function or other principle.Through theoretical analysis,(0,0)is unstable and existent in any situations.(N1,0)is existent and global asymptotic stability if δ2k2/N1.Then,some simulation are given and verify the proof of the result.At last,some conclusions about biology were raised.