Impact of demography on extinction/fixation events

DOI10.1007/s00285-018-1283-1zbMath1481.60153OpenAlexW2888443883WikidataQ91142610 ScholiaQ91142610MaRDI QIDQ1731919

Camille Coron, Sylvie Méléard, Denis Villemonais

Publication date: 15 March 2019

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

Full work available at URL: https://doi.org/10.1007/s00285-018-1283-1

zbMATH Keywords

diffusion processesallelic fixationdemography and extinctiondiffusion absorptionpath integrabilitypopulation dynamics and population genetics

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Diffusion processes (60J60) Genetics and epigenetics (92D10)

Related Items (3)

Extinction scenarios in evolutionary processes: a multinomial Wright-Fisher approach ⋮ On Λ-Fleming–Viot processes with general frequency-dependent selection ⋮ On the Simpson index for the Wright–Fisher process with random selection and immigration

Cites Work

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• Stable continuous-state branching processes with immigration and Beta-Fleming-Viot processes with immigration
• Convergence of integral functionals of one-dimensional diffusions
• Slow-fast stochastic diffusion dynamics and quasi-stationarity for diploid populations with varying size
• Continuous-time Markov chains. An applications-oriented approach
• A microscopic probabilistic description of a locally regulated population and macroscopic approximations
• A note on a.s. finiteness of perpetual integral functionals of diffusions
• Properties of perpetual integral functionals of Brownian motion with drift
• Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models
• A microscopic interpretation for adaptive dynamics trait substitution sequence models
• The Fourth Dimension of Life: Fractal Geometry and Allometric Scaling of Organisms
• Foundations of Modern Probability
• Stochastic Models for Structured Populations
• General criteria for the study of quasi-stationarity

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