Journal of Applied and Computational Mechanics

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

Document Type : Research Paper

Authors

1 Faculty of Science, Alexandria University, Alexandria, Egypt

2 Faculty of Education, Alexandria University, Alexandria, Egypt

Abstract

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. 

Keywords

Main Subjects

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Journal of Applied and Computational Mechanics
Volume 7, Issue 2
April 2021
Pages 442-449