Stability and Extinction for Lotka-Volterra Systems with Infinite Delay

被引：20

作者：

Faria, Teresa ^{[1
,2
]}

机构：

[1] Univ Lisbon, Dept Matemat, P-1749016 Lisbon, Portugal

[2] Univ Lisbon, CMAF, Fac Ciencias, P-1749016 Lisbon, Portugal

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2010年 / 22卷 / 02期

关键词：

Lotka-Volterra system; Delayed population model; Infinite delay; Saturated equilibrium; Global attractivity; Global asymptotic stability; INSTANTANEOUS NEGATIVE FEEDBACKS; GLOBAL ASYMPTOTIC STABILITY; EQUATIONS;

D O I：

10.1007/s10884-010-9166-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with the global stability of a saturated equilibrium x* = (x(1)*,..., x(n)*) = 0 for a multi-species Lotka-Volterra model with infinite delay. We assume the existence of non-delayed diagonal intraspecific competition terms, but relax the usual conditions of dominance which permit to control the infinite delay effect. Our results also apply to non-autonomous Lotka-Volterra systems without saturated equilibria, by studying the stability of their limiting equations. Some known results in the literature are improved and generalized.

引用

页码：299 / 324

页数：26

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