Autor:
Foryś, Urszula ; Marciniak-Czochra, Anna
Współtwórca:
Kimmel, Marek - red. ; Lachowicz, Mirosław - red. ; Świerniak, Andrzej - red.
Tytuł:
Logistic equations in tumour growth modelling
Podtytuł:
Cancer Growth and Progression, Mathematical Problems and Computer Simulations
Tytuł publikacji grupowej:
Temat i słowa kluczowe:
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.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Data wydania:
Typ zasobu:
Strony:
Źródło:
AMCS, volume 13, number 3 (2003) ; kliknij tutaj, żeby przejść