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 posit...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2025
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - funkcionális, Differenciálegyenlet - késleltetett |
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| doi: | 10.14232/ejqtde.2025.1.26 |
| Online Access: | http://acta.bibl.u-szeged.hu/88906 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 15 |
| ISSN: | 1417-3875 |