ABSTRACT

The study of delay equations has a long history in fields as disparate as economics [FrischHolme] and ecology [Hutch], with some early applications in engineering found in research concerning the stability of naval vessels [Minorsky]. Furthermore, there has also been extensive use of delay equations in modeling biological systems and indeed both May’s and Murray’s classic texts ([May] and [Murray], respectively) have significant sections devoted to delay equations. For the interested reader, there are solid introductory texts [BellmanCooke, Driver] (including those that focus heavily on applications to biological systems [Cushing, Kuang]) and thorough (if somewhat theoretical) advanced texts [Diekmannetal, Goreckietal, JKH3].