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
Language: License CC BY 4.0: Rights: