BOUNDEDNESS OF POSITIVE SOLUTIONS OF A SYSTEM OF NONLINEAR DELAY DIFFERENTIAL EQUATIONS

被引：6

作者：

Gyori, Istvan ^{[1
]}

Hartung, Ferenc ^{[1
]}

Mohamady, Nahed A. ^{[1
]}

机构：

[1] Univ Pannonia, Dept Math, H-8200 Veszprem, Hungary

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2018年 / 23卷 / 02期

关键词：

Delay differential equations; positive solutions; persistence; permanence; asymptotic behavior; COMPARTMENTAL-SYSTEMS; GLOBAL STABILITY; POPULATION-MODEL; PERSISTENCE; PERMANENCE; OSCILLATIONS; PIPES; STATE;

D O I：

10.3934/dcdsb.2018044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this manuscript the system of nonlinear delay differential equations (x) over dot(i)(t) = Sigma(n)(j=1) Sigma(n0)(l=1) alpha(ijl)(t)h(ij)(x(j) (t-T-ijl(t))) - beta(i)(t) f(i) (x(i) (t))+ rho(i) (t), t >= 0, 1 <= i <= n is considered. Sufficient conditions are established for the uniform permanence of the positive solutions of the system. In several particular cases, explicit formulas are given for the estimates of the upper and lower limit of the solutions. In a special case, the asymptotic equivalence of the solutions is investigated.

引用

页码：809 / 836

页数：28

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