GLOBAL BEHAVIOR OF N-DIMENSIONAL LOTKA-VOLTERRA SYSTEMS

被引：8

作者：

GOUZE, JL

机构：

[1] INRIA, Sophia-Antipolis

来源：

MATHEMATICAL BIOSCIENCES | 1993年 / 113卷 / 02期

关键词：

D O I：

10.1016/0025-5564(93)90003-S

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The behavior of Lotka-Volterra systems is studied using as tools the results from positivity and auxiliary functions that decrease along the trajectories. One typical result is that if a decomposition of the interaction matrix into a product of a symmetric and an off-diagonal nonnegative matrix is possible, then all the trajectories either go to equilibria or cannot remain in any compact set of the interior of the positive orthant.

引用

页码：231 / 243

页数：13

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