- Tytuł:
- Logistic Equations in Tumour Growth Modelling
- Autorzy:
-
Foryś, U.
Marciniak-Czochra, A. - Powiązania:
- https://bibliotekanauki.pl/articles/908165.pdf
- Data publikacji:
- 2003
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
matematyka
medycyna
logistic equation
delay differential equation
reaction-diffusion equation
stability
global stability
Hopf bifurcation
spatial pattern
Ehrlich ascities tumour - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 317-325
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł