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.
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页码：153 / 162
页数：10
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