Population Biology and Evolutionary Games

Basin of attraction in evolutionary rock-paper-scissors. Spatial chaos in a spatial evolutionary game. (Nowak and May. Evolutionary Games and Spatial Chaos, Nature, 359:826-829, 1992)

Mathematical Biology is an interdisciplinary research area and a kind of of Applied Mathematics. The field focuses on the application of mathematical principles and techniques to help understand biological phenomena. Evolutionary Game Theory (EGT) applies game theory to try to understand the evolution of populations and their phenotypical / genotypical properties. In EGT, a species or phenotype is associated to a strategy.

This course introduced students to Mathematical Biology and Evolutionary Game Theory. The course began with selected results in mathematical biology in order to provide prerequisite knowledge on dynamical systems required for Evolutionary Game Theory. Substantial emphasis was placed on evolutionary games in the second half of the course.

Instructors: Dr. Christopher Griffin and Prof. Andrew Belmonte

Text Books
Text:

  • M. Broom and J. Rychtar, Game-Theoretical Models in Biology, Chapman & Hall, CRC Press, 2013.
Optional Texts:
  • J. Hofbauer and K. Sigmund, Evolutionary Games and Population Dynamics, Cambridge University Press, 1998
  • J. D. Murray, Mathematical Biology I: An Introduction, Springer, 3ed, 2007
  • J. Strogatz, Nonlinear Dynamics and Chaos, Westview Press, 2001