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

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EL Sayed A.M.A.; Salman S.M.; Abo Bakr A.M.A.

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Journal Paper

Paper Information

Journal: JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS Year:2021 | Volume:7 | Issue:2 Page(s): 442-449

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Title

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

Author(s)

EL Sayed A.M.A. | Salman S.M. | Abo Bakr A.M.A. | Issue Writer Certificate

Keywords

Logistic equation

Time delay

Local stability

Bifurcation

Chaos

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.

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APA: Copy

EL Sayed, A.M.A., Salman, S.M., & Abo Bakr, A.M.A.. (2021). On the Dynamics of the Logistic Delay Differential Equation with Two Different Delays. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 7(2), 442-449. SID. https://sid.ir/paper/979079/en

Vancouver: Copy

EL Sayed A.M.A., Salman S.M., Abo Bakr A.M.A.. On the Dynamics of the Logistic Delay Differential Equation with Two Different Delays. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS[Internet]. 2021;7(2):442-449. Available from: https://sid.ir/paper/979079/en

IEEE: Copy

A.M.A. EL Sayed, S.M. Salman, and A.M.A. Abo Bakr, “On the Dynamics of the Logistic Delay Differential Equation with Two Different Delays,” JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol. 7, no. 2, pp. 442–449, 2021, [Online]. Available: https://sid.ir/paper/979079/en

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