STABILITY AND HOPF BIFURCATION ANALYSIS OF A MATHEMATICAL MODEL IN TUMOR ANGIOGENESIS | Zendy

Serdal Pamuk | Zendy; İrem Çay | Zendy

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STABILITY AND HOPF BIFURCATION ANALYSIS OF A MATHEMATICAL MODEL IN TUMOR ANGIOGENESIS

Author(s) -

Serdal Pamuk,

İrem Çay

Publication year - 2017

Publication title -

anadolu university journal of science and technology-a applied sciences and engineering

Language(s) - English

Resource type - Journals

ISSN - 1302-3160

DOI - 10.18038/aubtda.323014

Subject(s) - hopf bifurcation , stability (learning theory) , bifurcation , mathematics , work (physics) , stability theory , bifurcation diagram , mathematical economics , computer science , nonlinear system , physics , thermodynamics , quantum mechanics , machine learning

This work has been presented at the ”International Conference on Mathematics and Engineering, 10-12 May, 2017, Istanbul, Turkey”. In this paper we introduce a stability and Hopf bifurcation analysis of a reaction diusion system which models the interaction between endothelial cells and the inhibitor. Then, we investigate the stability of the positive equilibrium solutions under some conditions. We also show the existence of a Hopf bifurcation and provide some figures to show that the equilibrium solutions are indeed asymptotically stable.

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