Master'sOpen Access

Hopf bifurcation analysis of a delayed differential equations

2019
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Advisor: Dr. Öğr. Üyesi Özlem Ak Gümüş

Abstract (EN)

In this thesis study, Hopf bifurcation analysis in a dynamic system which includes time delay and which is very important in the mathematical biology branch was examined. First of all, some information about dynamic systems by giving the definitions and the terms which are necessary for the study was presented. After that, one positive equilibrium points stability of contextualised dynamic system was examined. In addition to this analysis delay parameter τ was assumed as bifurcation parameter and ıt was showed that the system has a Hopf bifurcation in the value of the spesific τ.

Author

Dr. Yonca Yalçin

How to Cite

Yonca Yalçin (Master Thesis). Hopf bifurcation analysis of a delayed differential equations, 2019, Adıyaman University.

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