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

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.