Asymptotic stability analysis on a neutral Nicholson's blowflies equation with time-varying delays

This study is devoted to the stability issue of a time-varying delayed Nicholson's blowflies equation of neutral type. By the aid of the Lyapunov stability theory and novel analysis techniques, two sharp conditions ensuring separately the global asymptotic stability of the zero equilibrium and...

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Bibliographic Details
Published inElectronic journal of qualitative theory of differential equations Vol. 2025; no. 26; pp. 1 - 15
Main Authors Huang, Chuangxia, Ding, Xiaodan, Wang, Qian
Format Journal Article
LanguageEnglish
Published University of Szeged 01.01.2025
Subjects
global asymptotic stability
neutral type
nicholson's blowflies equation
time-varying delay
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Summary:This study is devoted to the stability issue of a time-varying delayed Nicholson's blowflies equation of neutral type. By the aid of the Lyapunov stability theory and novel analysis techniques, two sharp conditions ensuring separately the global asymptotic stability of the zero equilibrium and positive equilibrium are derived, which completely cover the corresponding ones in the associated non-neutral equation. In addition, a numerical example is taken to support the availability of the theoretical results.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2025.1.26