2002/09/30 by Michael Lässig, M. Laessig, Francesca Tria +3 · 5 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · Social Sciences · #Artificial intelligence #Biology #Computer science #Demography #Dove #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #Evolutionary biology #Fitness landscape #Genetics #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematical economics #Mathematics #Population #Selection (genetic algorithm) #Sequence (biology) #Simple (philosophy) #Viral quasispecies #cond-mat.dis-nn #nlin.AO #q-bio.PE
paper · pdf · doi:10.1209/epl/i2003-00416-x
published in Europhysics Letters (EPL) 62(3), 446-451 (Institute of Physics) · 7 pages, 2 figures. Typos corrected, references updated. An exact solution for the hawks-dove game is provided
arxiv created 2003/02/10 · openalex publication_date 2003/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.