ULTIMATE BOUNDS AND GLOBAL ASYMPTOTIC STABILITY FOR DIFFERENTIAL-DELAY EQUATIONS

被引：11

作者：

CAO, YL ^{[1
]}

GARD, TC ^{[1
]}

机构：

[1] UNIV GEORGIA,DEPT MATH,ATHENS,GA 30602

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1995年 / 25卷 / 01期

关键词：

DIFFERENTIAL DELAY EQUATIONS; GLOBAL ASYMPTOTIC STABILITY; POPULATION DYNAMICS;

D O I：

10.1216/rmjm/1181072271

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use an interval mapping method to produce a sequence of improved ultimate bounds for positive solutions of differential delay equation models for population growth. We obtain a general result for global asymptotic stability of a positive equilibrium as a consequence.

引用

页码：119 / 131

页数：13

共 7 条

[1]

CAO Y, 1993, APPL ANAL, V51, P197

[2]

CUSHING JM, 1979, P CTR INT MATEMATICO

[3]

FREEDMAN HI, 1986, B MATH BIOL, V48, P483

[4] ON THE OSCILLATION AND ASYMPTOTIC-BEHAVIOR OF N(T)=N(T)[A+BN(T-TAU)-CN2(T-TAU)] [J].