Speaker: Damon Toth, Department of Applied Mathematics, University of Washington
Title:
Date: Thursday, January 15, 2003
Time: 3:30 - 4:20pm
Place: Guggenheim Room 408d
Abstract.
Within many biological populations, individuals differ from one another according to their age. Age-structured models help us determine how such differences affect the dynamics of a population's size and structure. Equations employed in standard continuous-time models include Lotka's Integral Equation, the McKendrick-von Foerster PDE, and the Gurtin-MacCamy Equation. In this talk, I will discuss some ideas for extending these models to include periodic time dependence, which would be appropriate for populations experiencing environmental conditions that are periodic in time. I will also demonstrate how these equations can be used to study problems in life-history evolution.
Everyone welcome!