A mathematical analysis of a fish school model

被引：6

作者：

Adioui, M

Arino, O

Smith, WV

Treuil, JP

机构：

[1] GEODES IRD 32, F-93143 Bondy, France

[2] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年 / 188卷 / 02期

关键词：

schooling; alignment; diffusion; stability; bifurcation; variance; operator semigroups;

D O I：

10.1016/S0022-0396(02)00097-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A model proposed in the literature for fish schools of relatively large size is studied for mathematical and qualitative properties. Existence, uniqueness and positivity of solutions are established and bifurcation properties relative to diffusion and alignment parameters are studied. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：406 / 446

页数：41

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