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  • 标题:Logistic equations in tumour growth modelling
  • 本地全文:下载
  • 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
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