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Oscillation of a logistic equation with delay and diffusion

100%

Xie S., Cheng S.

Annales Polonici Mathematici

1995

tom 62

nr 3

219-230

This paper establishes oscillation theorems for a class of functional parabolic equations which arises from logistic population models with delays and diffusion.

Logistic equations in tumour growth modelling

63%

Foryś U., Marciniak-Czochra A.

International Journal of Applied Mathematics and Computer Science

2003

tom 13

nr 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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 International Journal of Applied Mathematics and Computer Science

1 Cheng S.

1 Foryś U.

1 Marciniak-Czochra A.

1 Xie S.

1 2003

1 1995

Wyniki wyszukiwania

Oscillation of a logistic equation with delay and diffusion

Logistic equations in tumour growth modelling