Introduction to population game methods for evolution

I will review the derivation of mean-field dynamical system models from mechanistic continuous-time Markov chains descriptions. I will then show how these models can be adapted to provide population-game descriptions of evolutionary processes. I will then describe the basic methods of study of population games, including equilibrium conditions, classification, and adaptive dynamics. The methods will be illustrated with some basic applications to within-host viral evolution.

References:

A general approach to population games with application to vaccination. By T. Reluga and A. Galvani. Mathematical Biosciences, 230 (2): 67-78, April, 2011.

    DOI:10.1016/j.mbs.2011.01.003 [Free Preprint http://www.math.psu.edu/treluga/Reluga11MBS.pdf]

The discounted reproductive number for epidemiology. By T. Reluga, J. Medlock, and A. Galvani. Mathematical Biosciences and Engineering, 6 (2): 377-393, 2009.

   DOI:10.3934/mbe.2009.6.377 [Free Preprint: http://www.math.psu.edu/treluga/Reluga09MBE.pdf]