TY - GEN
A1 - Foryś, Urszula
A1 - Marciniak-Czochra, Anna
A2 - Kimmel, Marek - red.
A2 - Lachowicz, Mirosław - red.
A2 - Świerniak, Andrzej - red.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - 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.
N2 - 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.
L1 - http://zbc.uz.zgora.pl/Content/59044/AMCS_2003_13_3_5.pdf
L2 - http://zbc.uz.zgora.pl/Content/59044
KW - logistic equation
KW - delay differential equations
KW - reaction-diffusion equation
KW - stability
KW - global stability
KW - Hopf bifurcation
KW - spatial pattern
KW - Ehrlich ascities tumour
T1 - Logistic equations in tumour growth modelling
UR - http://zbc.uz.zgora.pl/dlibra/docmetadata?id=59044
ER -