On the stochastic evolution of finite populations

DOI10.1007/s00285-017-1135-4zbMath1387.92068arXiv1602.00478OpenAlexW3104268000WikidataQ47343783 ScholiaQ47343783MaRDI QIDQ1679024

Fabio A. C. C. Chalub, Max O. Souza

Publication date: 8 November 2017

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00478

zbMATH Keywords

stochastic processespopulation geneticsPerron-Frobenius propertytime-inhomogeneous Markov chainsfixation probabilitiesstochastically ordered processes

Mathematics Subject Classification ID

Problems related to evolution (92D15) Population dynamics (general) (92D25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Genetics and epigenetics (92D10)

Related Items (5)

Extinction scenarios in evolutionary processes: a multinomial Wright-Fisher approach ⋮ Fitness potentials and qualitative properties of the Wright-Fisher dynamics ⋮ From fixation probabilities to \(d\)-player games: an inverse problem in evolutionary dynamics ⋮ Moran process and Wright-Fisher process favor low variability ⋮ Gradient flow formulations of discrete and continuous evolutionary models: a unifying perspective

Cites Work

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• Review: Game theory of public goods in one-shot social dilemmas without assortment
• Phenotype switching and mutations in random environments
• Generalized population models and the nature of genetic drift
• Extinction and quasi-stationarity in the stochastic logistic SIS model.
• Local replicator dynamics: a simple link between deterministic and stochastic models of evolutionary game theory
• Seasonality as a Parrondian game
• Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments
• Fixation of strategies for an evolutionary game in finite populations
• Evolutionary game dynamics in finite populations with strong selection and weak mutation
• Fixation in large populations: a continuous view of a discrete problem
• Frequency dependence in a model of sexual selection
• Sets of matrices all infinite products of which converge
• Random temporal variation in selection intensities: Case of large population size
• Temporal fluctuations in selection intensities: Case of small population size
• Monotone matrices and monotone Markov processes
• Limit theorems for products of positive random matrices
• Mathematical population genetics. I: Theoretical introduction.
• From discrete to continuous evolution models: a unifying approach to drift-diffusion and replicator dynamics
• On matrices with Perron--Frobenius properties and some negative entries
• Interpolation and approximation by polynomials
• Convergence of infinite products of matrices and inner-outer iteration schemes
• Pairwise comparison and selection temperature in evolutionary game dynamics
• The frequency-dependent Wright-Fisher model: diffusive and non-diffusive approximations
• Evolutionary game dynamics in a Wright-Fisher process
• On nonnegative matrices
• The effects of stochastic environments on allele frequencies in natural populations
• On Perron-Frobenius property of matrices having some negative entries
• Stochastic ordering of classical discrete distributions
• Integral representations on convex semigroups.
• The latent roots of certain Markov chains arising in genetics: A new approach, II. Further haploid models
• The Mathematics of Darwin’s Theory of Evolution: 1859 and 150 Years Later
• The latent roots of certain Markov chains arising in genetics: A new approach, I. Haploid models
• The Distribution of Gene Frequencies Under Irreversible Mutation
• Perron-Frobenius theorem for matrices with some negative entries
• Formal properties of the probability of fixation: identities, inequalities and approximations

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