TY - JOUR T1 - Global Dynamics of a Diffusive Leslie-Gower Predator-Prey Model with Fear Effect AU - Fang , Zebin AU - Chen , Shanshan AU - Wei , Junjie JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 129 EP - 140 PY - 2022 DA - 2022/06 SN - 4 DO - http://doi.org/10.12150/jnma.2022.129 UR - https://global-sci.org/intro/article_detail/jnma/20698.html KW - Leslie-Gower predator-prey model, Fear effect, Global stability. AB -
A diffusive Leslie-Gower predator-prey model with fear effect is considered in this paper. For the kinetic system, we show that the unique positive equilibrium is globally asymptotically stable. Moreover, we find that high levels of fear could decrease the population densities of both prey and predator in a long time. For the diffusive model, we obtain the similar results under certain conditions.