Hopf bifurcation and stability analysis for delay differential equation systems
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Abstract (EN)
In this thesis,the dynamics of a logistic delayed prey-predator system is investigated and choosing ? delay parameter as bifurcating parameter the stability and Hopf bifurcation analysis are studied.Moreover,by using normal form theory and center manifold theorem the direction,stability and the period of the bifurcating periodic solution at critical values ? are obtained.Also the theoretical results are supported by numerical simulations.
Author
Gökçen Çekiç
Institution
How to Cite
Gökçen Çekiç (Master Thesis). Hopf bifurcation and stability analysis for delay differential equation systems, 2009, TOBB Economics and Technology University, Matematik Bölümü.
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