Codimension-2 bifurcation in a discrete predator-prey system with constant yield predator harvesting  

作　　者：Anuraj Singh Vijay Shankar Sharma 

机构地区：[1]ABV-Indian Institute of Information Technology and Management Gwalior,Madhya Pradesh,India

出　　处：《International Journal of Biomathematics》2023年第5期165-191,共27页生物数学学报（英文版）

基　　金：supported by Science Engineering Research Board,Government of India (CRG/2021/006380).

摘　　要：This work investigates the bifurcation analysis in a discrete-time Leslie-Gower predatorprey model with constant yield predator harvesting.The stability analysis for the fixed points of the discretized model is shown briefy.In this study,the model undergoes codimension-1 bifurcation such as fold bifurcation(limit point),flip bifurcation(perioddoubling)and Neimark-Sacker bifurcation at a positive fixed point.Further,the model exhibits codimension-2 bifurcations,including Bogdanov-Takens bifurcation and generalized fip bifurcation at the fixed point.For each bifurcation,by using the critical normal form coefficient method,various critical states are calculated.To validate our analytical findings,the bifurcation curves of fixed points are drawn by using MATCONTM.The system exhibits interesting rich dynamics including limit cycles and chaos.Moreover,it has been shown that the predator harvesting may control the chaos in the system.

关 键 词：Flip bifurcation Neimark-Sacker bifurcation generalized fip bifurcation Bogdanov-Takens bifurcation HARVESTING 

分 类 号：O17[理学—数学]