Mathematical Biology 3380
Fall 2002
Tuesday 10:3011:50; Thurs 12:001:20
3RD FLR CONF ROOM, Thackeray Hall
Bard Ermentrout
Recommended books
 Evolutaionary Dynamics Martin Nowak, 2006
 Mathematical Biology II J.D. Murray, Springer, 2004
Prerequisites
 Mathematics
 Some differential equations
 Some basic linear algebra (eigenvalues, etc)
 Some Fourier series
 Computing. You will be required to do many computer exercises.
Free software XPPAUT is
available that will allow you to do most of the exercises.
Grading
 Homework 60%
 Final Project 40%
Syllabus
 Introduction: Discrete dynamics
 Ecological models  Birth and Death
 Simple first and second order maps
 Coherence and extinction Paper
by Earn and Levin
 Periodic emergence of cicadas:
Hoppensteadt and Keller Science
194:335337,1976

Here is a model
 Try running it. Click Initconds Go
 Try setting the cycle period k to 13 or 17 by
opening the Param window, changing k can clicking
OK Then
click on Delay to open the delay box and click Go
 Ecological models: Intro to ODE models
 Predator Prey
 Competition
 Oscillations
 Evolutionary dynamics