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- Title
STABILITY AND HOPF BIFURCATION ANALYSIS OF A MATHEMATICAL MODEL IN TUMOR ANGIOGENESIS.
- Authors
PAMUK, Serdal; ÇAY, İrem
- 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.
- Subjects
HOPF bifurcations; STABILITY theory; NEOVASCULARIZATION; REACTION-diffusion equations; ENDOTHELIAL cells; MATHEMATICAL models
- Publication
Anadolu University of Sciences & Technology A: Applied Sciences & Engineering, 2018, Vol 19, Issue 1, p50
- ISSN
1302-3160
- Publication type
Article
- DOI
10.18038/aubtda.323014