Nicholson's blowflies differential equations with a small delay in the term

被引：0

作者：

Berezansky, Leonid ^{[1
]}

Braverman, Elena ^{[2
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

[2] Univ Calgary, Dept Math & Stats, 2500 Univ Dr NW, Calgary, AB T2N 1N4, Canada

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2025年 / 81卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Delay differential equations; Global exponential stability; Delayed mortality; Nicholson's blowflies equation; Delay-dependent stability conditions; MACKEY-GLASS MODEL; GLOBAL STABILITY; HEMATOPOIESIS;

D O I：

10.1016/j.nonrwa.2024.104193

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the Nicholson's blowflies equation with delayed mortality N '(t)=m(t)-delta N(h(1)(t))+PN(h(2)(t))e(-gamma)N(h(2)(t)),P>delta, positivity, persistence, and boundedness of solutions are established. Two global stability tests for the positive equilibrium are obtained based on a linearized global stability method, reducing stability of a non-linear model to a specially constructed linear equation. The first one extends the absolute stability result to the case of delayed mortality and the second test is delay-dependent.

引用

页数：10

共 23 条

[1]

Agarwal R.P., 2012, Nonoscillation Theory of Functional Differential Equations with Applications

[2] On stability of some linear and nonlinear delay differential equations [J].