Creator:
Foryś, Urszula ; Marciniak-Czochra, Anna
Contributor:
Kimmel, Marek - red. ; Lachowicz, Mirosław - red. ; Świerniak, Andrzej - red.
Title:
Logistic equations in tumour growth modelling
Subtitle:
Cancer Growth and Progression, Mathematical Problems and Computer Simulations
Group publication title:
Subject and Keywords:
logistic equation ; delay differential equations ; reaction-diffusion equation ; stability ; global stability ; Hopf bifurcation ; spatial pattern ; Ehrlich ascities tumour
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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Date:
Resource Type:
Pages:
Source:
AMCS, volume 13, number 3 (2003) ; click here to follow the link