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 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.
Authors
- Xiaodan Ding (ORCID: https://orcid.org/0000-0002-4645-7140)
- Chuangxia Huang (ORCID: https://orcid.org/0000-0003-4034-0184)
- Qian Wang (ORCID: https://orcid.org/0000-0002-5906-1890)
Institutions
- Hunan University of Science and Engineering (CN)
- Huainan Normal University (CN)
- Changsha University of Science and Technology (CN)
Publication Details
- Journal
- Electronic journal of qualitative theory of differential equations
- Published
- 2025-01-01
- DOI
- https://doi.org/10.14232/ejqtde.2025.1.26
- Citations
- 2
- Primary Topic
- Numerical methods for differential equations
- Type
- article
- Field-Weighted Citation Impact
- 5.26
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Hunan Province
- Science and Technology Program of Hunan Province