AGE-DEPENDENT EQUATIONS WITH NON-LINEAR DIFFUSION

被引：20

作者：

Walker, Christoph ^{[1
]}

机构：

[1] Leibniz Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 26卷 / 02期

关键词：

Age structure; non-linear diffusion; population models; evolution systems; NON-LINEAR DIFFUSION; POPULATION-DYNAMICS; ASYMPTOTIC-BEHAVIOR; GLOBAL EXISTENCE; MODEL;

D O I：

10.3934/dcds.2010.26.691

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the well-posedness of models involving age structure and non-linear diffusion. Such problems arise in the study of population dynamics. It is shown how diffusion and age boundary conditions can be treated that depend non-linearly and possibly non-locally on the density itself. The abstract approach is applied to concrete examples.

引用

页码：691 / 712

页数：22

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