Mathematica Eterna
Open Access

Abstract

Existence and stability of a constant stationary solution for a simplified tumor growth model

L. Jaafar Belaid

The aim of this paper is to study a problem of existence and stability related to a tumor growth mathematical model. Based on a classical mathematical model for tumor growth describing proliferating, quiescent and necrotic cells, we propose to calculate explicitly the stationary solution and discuss the stability with respect to these three cells. Some open problems are presented in the conclusion.