Persistence for a class of nonautonomous systems of differential equations with unbounded delays
Abstract
For a family of nonautonomous systems of differential equations with unbounded delays, sufficient conditions for their persistence are established. In general, these systems are non- cooperative, so the usual techniques for monotone systems do not apply. The class of differential equations studied here is broad enough to encompass important models with unbounded delays used in mathematical biology. Our results extend and improve recent criteria for persistence of systems of differential equations with finite delays, and are illustrated with some selected examples given here.
Fields of Study & Subjects
Mathematical and Theoretical Epidemiology and Ecology Models
Nonlinear Differential Equations Analysis
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- Mathematical Biosciences
- Volume
- 396
- Pages
- 109670–109670
- Publication date
- 7 March 2026
- Language
- EN