On a class of integro-differential equations modeling complex systems with nonlinear interactions

被引：22

作者：

Arlotti, L. ^{[2
]}

De Angelis, E. ^{[1
]}

Fermo, L. ^{[1
]}

Lachowicz, M. ^{[3
]}

Bellomo, N. ^{[1
]}

机构：

[1] Politecn Torino, Dipartimento Matemat, Turin, Italy

[2] Univ Udine, Dipartimento Ingn Civile, I-33100 Udine, Italy

[3] Univ Warsaw, Inst Appl Math & Mech, Warsaw, Poland

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 03期

关键词：

Complexity; Kinetic theory; Cauchy problem; Nonlinear interactions; MULTICELLULAR GROWING SYSTEMS; BIOLOGICAL TISSUE MODELS; LEARNING DYNAMICS; ACTIVE PARTICLES; KINETIC-MODELS; COMPETITION; BEHAVIOR;

D O I：

10.1016/j.aml.2011.09.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work deals with the qualitative analysis of the initial value problem for a class of large systems of interacting entities in the framework of the mathematical kinetic theory for active particles. The contents are specifically focused on the case where the system interacts with the outer environment and the entities are subject to nonlinearly additive interactions. (C) 2011 Published by Elsevier Ltd

引用

页码：490 / 495

页数：6

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