Math Talks

Modeling Age Structure Via Delay Differential Equations

Abstract: The purpose of this talk is to introduce the concept of age—structured population models. After reviewing the basic exponential growth model (which you are probably already familiar with if you have taken calculus, but which does not incorporate age structure), we will formulate and analyze two age--structured models. The first of these models incorporates a fixed maturation period and takes the form of a linear delay differential equation. The second model, which incorporates both a fixed maturation period and a fixed adult life span, takes the form of a linear integral equation. In addition to discussing the modeling itself (the derivations of the models), we will concentrate on aspects of the analyses of these models in which Calculus I and II concepts are brought to bear. This should make the talk accessible (and hopefully interesting) to anybody who has completed Calculus I and at least some of Calculus II.

Speaker: Dr. Sean Ellermeyer

When: Thursday, February 21, 12:30pm. - 1:45p.m.

Where: CL 2003

Coffee and cookies will be served as always.