Permanence and exponential stability for generalised nonautonomous Nicholson systems

Abstract

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.

Keywords

• delay differential equations
• nicholson systems
• exponential stability
• permanence