Mathematical Biology 3380

Spring 2013

MWF 1:00-1:50 PM

Thackeray Hall 524

Bard Ermentrout

Some references

Evolutionary Dynamics Martin Nowak, 2006
Theory of Evolution and Dynmamical Systems Josef Hofbauer and Karl Sigmund
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 (gradually evolving....)

Introduction:
Ecological models: Intro to ODE models
- Predator Prey
- Competition
- Oscillations
- Some notes
- Homework 1; due Friday Jan 25
- ODE file for 3 species LV mode
- Lecture 2
Evolutionary dynamics/game theory
- Lecture 3
- or Chapt 4 (Nowak)
More games
- HOMEWORK 2 - Due Feb 18
- More notes
Virtual Lab for 2D stuff - check out e.g. bistability
Fun with extrortion and zero determinant strategies
Papers on Spatial games
- Simple model for waves in a two player game
- Patterns in a system with taxis
More stuff on space but first...
- New Homework due the Friday before spring break March 8
- Notes from last week and for this week
- Go to this weeks colloquium (MAR 1) as it concerns spatial games
- Here are some ODE files for your amusement:
Animal motion and swarming
- Homework number 4
- and its addendum - all due April 12
- Some odes
- Some notes on swarms
- Old alignment paper (BE and LEK, 1990)
- Some papers that we have been stydying:
  - Existence of swarms in n dimensions
  - Chu D'Orsogna PRL