Title: Delay Differential Equations in Biology and Medicine

Abstract:
Life processes are intrinsically stage structured and complex in
nature.  A simple and plausible way to incorporate stage structures in
mathematical models of such processes is to employ delay differential
equations (DDEs).  Recent theoretical and computational advancements
in DDEs reveal that DDEs are capable of generating rich and intriguing
dynamics in realistic parameter regions. In this talk, through several
examples in ecology (staged predator-prey interaction and marine
bacteriophage infection dynamics) and medicine (glucose-insulin
interaction and tumor growth), we show that naturally occurring
complex dynamics are often naturally embodied in DDEs.