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