Allee effect in a Ricker type predator-prey model

被引：8
|
作者：
Hamada, M. Y. [1 ]
El-Azab, Tamer [1 ]
El-Metwally, H. [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Math Dept, Mansoura 35516, Egypt
来源：
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2023年 / 29卷 / 03期
关键词：
Allee effect; predator-prey system; chaos; DISCRETE; SYSTEM;
D O I：
10.22436/jmcs.029.03.03
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The stability of the predator-prey model subject to the Allee effect is an interesting topic in recent times. The impact of a weak Allee effect on the stability of a discrete-time predator-prey model is investigated in this paper. Equilibrium analysis, stability analysis, and bifurcation theory are used to examine the mathematical properties of the proposed model. By using the Allee parameter as the bifurcation parameter, we provide sufficient conditions for the flip bifurcation. Numerical simulations are used to demonstrate our analytical conclusions.
引用
收藏
页码：239 / 251
页数：13
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