Special Session 18: Progress on delay and fractional differential equations with real-world application

Persistence for differential equations with unbounded delays
Teresa Faria
University of Lisbon
Portugal
Co-Author(s):    Jos\`e J. Oliveira
Abstract:
For a family of non-autonomous multi-dimensional differential equations with unbounded delays, sufficient conditions for their persistence are established. Applications to mathematical biology models with unbounded delays are given. These results generalise and enhance recent criteria for persistence for the case of finite delays. \begin{thebibliography}{99} \bibitem{FO26} T. Faria, J.J. Oliveira, Persistence for a class of nonautonomous systems of differential equations with unbounded delays, Mathematical Bioscience (to appear). doi: 10.1016/j.mbs.2026.109670 \end{thebibliography}