Periodic solutions of nonautonomous Mackey-type systems with delays [pre-print]

Abstract

Nonautonomous systems of delay differential equations, that model classical Mackey-type hematopoietic stem cell dynamics and Mackey-type circuit systems, are under study. Explicit sufficient and necessary conditions for the existence of positive periodic solutions were obtained via topological methods. Numerical simulations have also been presented to demonstrate the theoretical analysis.