Permanence and exponential stability for generalised nonautonomous Nicholson systems

Autor: Teresa Faria
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2021, Iss 9, Pp 1-19 (2021)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2021.1.9
Popis: 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.
Databáze: Directory of Open Access Journals