Metasolutions in cooperative systems

被引：21

作者：

Alvarez-Caudevilla, Pablo ^{[2
]}

Lopez-Gomez, Julian ^{[1
]}

机构：

[1] Univ Complutense Madrid, Dept Math Aplicada, E-28040 Madrid, Spain

[2] Univ Catolica Avila, Dept Matemat, Avila, Spain

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2008年 / 9卷 / 03期

关键词：

metasolutions; population dynamics; cooperative systems;

D O I：

10.1016/j.nonrwa.2007.02.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyze the interplay between the most classical laws of Population Dynamics, Malthus versus Verhulst, in a class of, sublinear cooperative parabolic systems, where, much like for one single equation, the metasolutions are imperative for describing the dynamics of' the problem in the regimes where the model does not admit a stable non-negative steady-state. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1119 / 1157

页数：39

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