TY - JOUR T1 - Global Dynamics of a Predator-Prey Model AU - Huang , Rui AU - Pan , Qiangyou AU - Bao , Lianzhang JO - Communications in Mathematical Research VL - 3 SP - 274 EP - 280 PY - 2021 DA - 2021/05 SN - 31 DO - http://doi.org/10.13447/j.1674-5647.2015.03.10 UR - https://global-sci.org/intro/article_detail/cmr/18931.html KW - Allee effect, asymptotically stable, predator-prey model. AB -
In this paper, we consider a predator-prey model. A sufficient condition is presented for the stability of the equilibrium, which is different from the one for the model with Hassell-Varley type functional response. Furthermore, by constructing a Lyapunov function, we prove that the positive equilibrium is asymptotically stable.