Permanence and exponential stability for generalised nonautonomous Nicholson systems
The paper is concerned with nonautonomous generalised Nicholson systems under conditions which imply their permanence: by refining the assumptions for permanence, explicit lower and upper uniform bounds for all positive solutions are provided, as well as criteria for the global exponential stability...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2021
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - késleltetett, Nicholson-rendszerek |
| doi: | 10.14232/ejqtde.2021.1.9 |
| Online Access: | http://acta.bibl.u-szeged.hu/73661 |
| Tartalmi kivonat: | The paper is concerned with nonautonomous generalised Nicholson systems under conditions which imply their permanence: by refining the assumptions for permanence, explicit lower and upper uniform bounds for all positive solutions are provided, as well as criteria for the global exponential stability of these systems. In particular, for periodic systems, conditions for the existence of a globally exponentially attractive positive periodic solution are derived. |
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| Terjedelem/Fizikai jellemzők: | 19 |
| ISSN: | 1417-3875 |