文章基本信息

标题：Logistic equations in tumour growth modelling
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作者：Urszula Foryś ; Anna Marciniak-Czochra
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2003
卷号：13
期号：3
出版社：De Gruyter Open
摘要：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
关键词：logistic equation; delay differential equation; reaction-diffusion equation; stability; global stability; Hopf bifurcation; spatial pattern; Ehrlich ascities tumour