On the Dynamics of the Logistic Delay Differential Equation with Two Different Delays

被引：2
|
作者：
EL-Sayed, A. M. A. [1 ]
Salman, S. M. [2 ]
Abo-Bakr, A. M. A. [1 ]
机构：
[1] Alexandria Univ, Fac Sci, Alexandria, Egypt
[2] Alexandria Univ, Fac Educ, Alexandria, Egypt
来源：
JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS | 2021年 / 7卷 / 02期
关键词：
Logistic equation; Time delay; Local stability; Bifurcation; Chaos; STABILITY;
D O I：
10.22055/JACM.2020.34819.2476
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Here, we study the logistic delay differential equation with two different delays. First of all, we disscuse the local stability and Hopf bifurcation conditons. The method of steps is used to get a discretized analogue of the original system. Local stability and bifurcation analysis of the discretized system is investigated. Finally, we carry out some numerical simulations such as bifurcation diagram, Lyapunov exponent and phase portraits to verify the theoretical results and to illustrate complex dynamics of the considered system.
引用
收藏
页码：442 / 449
页数：8
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