From the Jager and Segel model to kinetic population dynamics nonlinear evolution problems and applications

被引：34

作者：

Arlotti, L ^{[1
]}

Bellomo, N

Latrach, K

机构：

[1] Univ Udine, Dept Mech, I-33100 Udine, Italy

[2] Politecn Torino, Dept Math, Turin, Italy

[3] Univ Corsica, Dept Math, Corte, France

来源：

MATHEMATICAL AND COMPUTER MODELLING | 1999年 / 30卷 / 1-2期

关键词：

population dynamics; nonlinear kinetic models; generalized Boltzmann equation; Cauchy problem;

D O I：

10.1016/S0895-7177(99)00113-2

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper deals with the analysis of a new class of models of population dynamics with competition and kinetic interactions. The content is organized in three parts. The first one refers to modelling in the framework of the so-called generalized Boltzmann models. The second part deals with qualitative analysis of the initial and initial boundary value problems. The third part of the paper provides a survey of applications and develops an analysis of some open problems. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：15 / 40

页数：26

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