Work

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

Year: 2025

Type: article

Abstract: 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.

Source: Electronic journal of qualitative theory of differential equations

DOI: 10.14232/ejqtde.2025.1.26

Authors: Chuangxia Huang, Xiaodan Ding, Qian Wang

Institutions: Hunan University of Science and Engineering, Changsha University of Science and Technology, Huainan Normal University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Natural Science Foundation of Hunan Province, Science and Technology Program of Hunan Province

Awards: G2388412330, G4210934158, G4568042486, G6520118489