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

On delay differential equations and systems with a non-delay or weakly delayed term
Elena Braverman
University of Calgary
Canada
Co-Author(s):    Leonid Berezansky
Abstract:
It is well known that an equation with a dominating non-delay negative term is asymptotically stable, independently of the magnitude of the delay. For non-linear delay models of population dynamics, systems with non-linear mortality are also common and can exhibit global asymptotic stability of a positive equilibrium, under some limitations on the form of the production function. We discuss linear systems with a non-delay term, systems with a dominating term that has a small delay, and non-linear models with delayed mortality.