International Journal of applied mathematics and computer science

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Paper details

Number 3 - September 2003
Volume 13 - 2003

Logistic equations in tumour growth modelling

Urszula Foryś, Anna Marciniak-Czochra

Abstract
The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As the first approach the well-known ordinary differential equation is used to model the EAT in mice. For the same kind of tumour, a logistic equation with time delay is also used. As the second approach, a logistic equation with diffusion is proposed. In this case a delay argument in the reaction term is also considered. Some mathematical properties of the presented models are studied in the paper. The results are illustrated using computer simulations.

Keywords
logistic equation, delay differential equation, reaction-diffusion equation, stability, global stability, Hopf bifurcation, spatial pattern, Ehrlich ascities tumour