Moran-type bounds for the fixation probability in a frequency-dependent Wright–Fisher model

T Chumley, O Aydogmus, A Matzavinos… - Journal of mathematical …, 2018 - Springer
We study stochastic evolutionary game dynamics in a population of finite size. Individuals in
the population are divided into two dynamically evolving groups. The structure of the …

Sharp asymptotics for fixation times in stochastic population genetics models at low mutation probabilities

A Cercueil, O François - Journal of statistical physics, 2003 - Springer
This article describes new models in population genetics that extend the neutral Wright–
Fisher model by including strong selection and mutation. Fixation times are studied in the …

From Fixation Probabilities to d-player Games: An Inverse Problem in Evolutionary Dynamics

FACC Chalub, MO Souza - Bulletin of Mathematical Biology, 2019 - Springer
The probability that the frequency of a particular trait will eventually become unity, the so-
called fixation probability, is a central issue in the study of population evolution. Its …

Evolutionary game dynamics in a Wright-Fisher process

LA Imhof, MA Nowak - Journal of mathematical biology, 2006 - Springer
Evolutionary game dynamics in finite populations can be described by a frequency
dependent, stochastic Wright-Fisher process. We consider a symmetric game between two …

How small are small mutation rates?

B Wu, CS Gokhale, L Wang, A Traulsen - Journal of mathematical biology, 2012 - Springer
We consider evolutionary game dynamics in a finite population of size N. When mutations
are rare, the population is monomorphic most of the time. Occasionally a mutation arises. It …

Evolutionary game dynamics of the Wright-Fisher process with different selection intensities

X Wang, C Gu, J Quan - Journal of Theoretical Biology, 2019 - Elsevier
Evolutionary game dynamics in finite populations can be described by a frequency-
dependent, stochastic Wright-Fisher process. The fitness of individuals in a population is not …

Allele fixation probability in a Moran model with fluctuating fitness landscapes

DB Saakian, T Yakushkina, EV Koonin - Physical Review E, 2019 - APS
Evolution on changing fitness landscapes (seascapes) is an important problem in
evolutionary biology. We consider the Moran model of finite population evolution with …

The Wright–Fisher model for class–dependent fitness landscapes

J Dalmau - Electronic Journal of Probability, 2021 - projecteuclid.org
We consider a population evolving under mutation and selection. The genotype of an
individual is a word of length ℓ over a finite alphabet. Mutations occur during reproduction …

On the stochastic evolution of finite populations

FACC Chalub, MO Souza - Journal of Mathematical Biology, 2017 - Springer
This work is a systematic study of discrete Markov chains that are used to describe the
evolution of a two-types population. Motivated by results valid for the well-known Moran (M) …

Stochastic evolutionary dynamics on two levels

A Traulsen, AM Sengupta, MA Nowak - Journal of theoretical biology, 2005 - Elsevier
We consider a population that is subdivided into groups. Individuals reproduce proportional
to their fitness. When a group reaches a certain size it has a probability to split into two …