OSCILLATION AND GLOBAL STABILITY IN A DELAY LOGISTIC EQUATION

被引：20

作者：

LADAS, G

QIAN, C

机构：

[1] Department of Mathematics, University of Rhode Island, Kingston

来源：

DYNAMICS AND STABILITY OF SYSTEMS | 1994年 / 9卷 / 02期

关键词：

Equations of motion - Oscillations;

D O I：

10.1080/02681119408806174

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a necessary and sufficient condition for every positive solution of the delay logistic equation x(t) = x(t)[a + bx(p)(t - tau) - cx(q)(t - tau)], t greater-than-or-equal-to 0 (star) to oscillate about its positive equilibrium. We also obtain conditions under which the positive equilibrium of (star) is globally asymptotically stable.

引用

页码：153 / 162

页数：10