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

Year 2018, Volume: 19 Issue: 1, 50 - 57, 31.03.2018

Serdal Pamuk , İrem Çay

https://doi.org/10.18038/aubtda.323014

Abstract

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 diffusion 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.

Keywords

Equilibrium solution, Hopf bifurcation

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