Chaos control in a discrete-time predator-prey model with weak Allee effect  

作　　者：Saheb Pal Sourav Kumar Sasmal Nikhil Pal 

机构地区：[1]Department of Mathematics,Visva-Bharati Santiniketan 731235,India [2]Department of Physics and Mathematics Aoyama Gakuin University,Kanagawa 252-5258,Japan

出　　处：《International Journal of Biomathematics》2018年第7期123-148,共26页生物数学学报（英文版）

摘　　要：The stability of the predator-prey model subject to the Allee effect is an interesting topic in recent times.In this paper,we investigate the impact of weak Allee effect on the stability of a discrete-time predator-prey model with Holling type-IV functional response.The mathematical features of the proposed model are analyzed with the help of equilibrium analysis,stability analysis,and bifurcation theory.We provide sufficient conditions for the flip bifurcation by considering Allee parameter as the bifurcation parameter.We observe that the model becomes stable from chaotic dynamics as the Allee parameter increases.Further,we observe bi-stability behavior of the model between only prey existence equilibrium and the coexistence equilibrium.Our analytical findings are illustrated through numerical simulations.

关 键 词：Chaos control Allee effect FLIP BIFURCATION bi-stability LYAPUNOV EXPONENT 

分 类 号：G[文化科学]