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...

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Bibliographic Details
Main Author: Faria Teresa
Format: Serial
Published: 2021
Series:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet - késleltetett, Nicholson-rendszerek
doi:10.14232/ejqtde.2021.1.9

Online Access:http://acta.bibl.u-szeged.hu/73661
Description
Summary: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.
Physical Description:19
ISSN:1417-3875