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1 International Journal of Applied Mathematics and Computer Science

1 2003

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Logistic Equations in Tumour Growth Modelling

Foryś U., Marciniak-Czochra A.

International Journal of Applied Mathematics and Computer Science

2003

Vol. 13, no 3

317-325

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.