Title: Analysis and Applications of Delay Differential Equations in Biology and Medicine,
Abstract: The main purpose of this paper is to provide a summary of the fundamental
methods for analyzing delay differential equations arising in biology and
medicine. These methods are employed to illustrate the effects of time delay on
the behavior of solutions, which include destabilization of steady states,
periodic and oscillatory solutions, bifurcations, and stability switches. The
biological interpretations of delay effects are briefly discussed.