Analytical bifurcation and strong resonances of a discrete Bazykin-Berezovskaya predator-prey model with Allee effect  

作　　者：Sanaa Moussa Salman A.A.Elsadany 

机构地区：[1]Mathematics Department,Faculty of Education Alerandria University,Alerandria,Egypt [2]Mathematics Department,College of Science and Humanities Studies in Al-Kharj Prince Sattam bin Abdulaziz University Al-Kharj11942,SaudiArabia [3]Department of Basic Science,Faculty of Computers and Informatics Ismailia 41522,Suez Canal University,Egypt

出　　处：《International Journal of Biomathematics》2023年第8期155-190,共36页生物数学学报（英文版）

摘　　要：This paper investigates multiple bifurcations analyses and strong resonances of the Bazykin-Berezovskaya predator-prey model in depth using analytical and numerical bifurcation analysis.The stability conditions of fixed points,codim-1 and codim-2 bifurcations to include multiple and generic bifurcations are studied.This model exhibits transcritical,fip,Neimark-Sacker,and 1:2,1:3,1:4 strong resonances.The normal form coefficients and their scenarios for each bifurcation are examined by using the normal form theorem and bifurcation theory.For each bifurcation,various types of critical states are calculated,such as potential transformations between the one-parameter bifurcation point and different bifurcation points obtained from the two-parameter bifurcation point.To validate our analytical findings,the bifurcation curves of fixed points are determined by using MatcontM.

关 键 词：Bazykin Berezovskaya model Neimark-Sacker bifurcation fip bifurcation transcritical bifurcation strong resonances bifurcation 

分 类 号：O175[理学—数学]