Discrete evolutionary genetics. Multiplicative fitnesses and the mutation-fitness balance

Thierry Huillet (1) , Servet Martinez (2)

1 LPTM - UMR 8089 - Laboratoire de Physique Théorique et Modélisation
2 Departamento de Ingenieria Matematica, Centro Modelamiento Matematico

We revisit the multi-allelic mutation-fitness balance problem especially when fitnesses are multiplicative. Using ideas arising from quasi-stationary distributions, we analyze the qualitative differences between the fitness-first and mutation-first models, under various schemes of the mutation pattern. We give some stochastic domination relations between the equilibrium states resulting from these models.

Mots clés: quasi-stationarity; Evolutionary genetics; fitness landscape; selection; mutation; stochastic models; quasi-stationarity.

Domaines: Bio-Informatique, Biologie Systémique [q-bio.QM]; Bio-informatique [q-bio.QM]

Thierry Huillet, Servet Martinez. Discrete evolutionary genetics. Multiplicative fitnesses and the mutation-fitness balance. Applied Mathematics, 2011, Vol 2 (no 1), pp. 11-22. ⟨10.4236/am.2011.21002⟩. ⟨hal-00526859⟩