Qualitative analysis of a diffusive predator–prey model with Allee and fear effects  

作　　者：Jia Liu 

机构地区：[1]Jiangsu Vocational College of Electronics and Information Huaian 223003,P.R.China

出　　处：《International Journal of Biomathematics》2021年第6期1-31,共31页生物数学学报（英文版）

基　　金：supported by Special Foundation for Excellent Young Teachers and Principals Program of Jiangsu Province,China.

摘　　要：In this study,we consider a diffusive predator-prey model with multiple Allee effects induced by fear factors.We investigate the existence,boundedness and permanence of the solution of the system.We also discuss the existence and non-existence of non-constant solutions.We derive sufficient conditions for spatially homogeneous(non-homogenous)Hopf bifurcation and steady state bifurcation.Theoretical and numerical simulations show that strong Allee effect and fear effect have great effect on the dynamics of system.

关 键 词：PREDATOR-PREY diffusion fear effect Allee effect BIFURCATION 

分 类 号：O17[理学—数学]