| Issue |
Europhys. Lett.
Volume 62, Number 3, May 2003
|
|
|---|---|---|
| Page(s) | 446 - 451 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i2003-00416-x | |
| Published online | 01 April 2003 | |
Evolutionary games and quasispecies
1
Institut für theoretische Physik, Universität zu
Köln Zülpicher Str. 77, D-50937 Köln, Germany
2
Dipartimento di Scienze Fisiche and Unità INFM,
Università “Federico II” Complesso Monte S. Angelo,
I-80126 Napoli, Italy
Corresponding author: lassig@thp.uni-koeln.de
Received:
2
September
2002
Accepted:
7
March
2003
We discuss a population of sequences subject to mutations and frequency-dependent selection, where the fitness of a sequence depends on the composition of the entire population. This type of dynamics is crucial to understand, for example, the coupled evolution of different strands in a viral population. Mathematically, it takes the form of a reaction-diffusion problem that is nonlinear in the population state. In our model system, the fitness is determined by a simple mathematical game, the hawk-dove game. The stationary population distribution is found to be a quasispecies with properties different from those which hold in fixed fitness landscapes.
PACS: 87.10.+e – Biological and medical physics: General theory and mathematical aspects / 87.23.-n – Ecology and evolution
© EDP Sciences, 2003
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