Dergiler / Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik / 2018 / Cilt: 19 - Sayı: 1

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

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

Serdal PAMUK, İrem ÇAY

Sayfa
50–57
DOI
—

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 theinteraction between endothelial cells and the inhibitor. Then, we investigate the stability of the positive equilibrium solutionsunder some conditions. We also show the existence of a Hopf bifurcation and provide some figures to show that theequilibrium solutions are indeed asymptotically stable.