Structural properties of the seed bank and the two island diffusion

DOI10.1007/s00285-019-01360-5zbMath1478.92127arXiv1710.08164OpenAlexW2885188730WikidataQ91904607 ScholiaQ91904607MaRDI QIDQ2311905

Jochen Blath, Adrián González Casanova, Eugenio Buzzoni, Maite Wilke-Berenguer

Publication date: 4 July 2019

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

Full work available at URL: https://arxiv.org/abs/1710.08164

zbMATH Keywords

dualityreversibilityWright-Fisher diffusionstochastic delay differential equationboundary classificationseed bank coalescenttwo island model

Mathematics Subject Classification ID

Problems related to evolution (92D15) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (7)

The seed bank coalescent with simultaneous switching ⋮ The stochastic Fisher-KPP equation with seed bank and on/off branching coalescing Brownian motion ⋮ Spatial populations with seed-banks in random environment. III: Convergence towards mono-type equilibrium ⋮ Unnamed Item ⋮ Statistical tools for seed bank detection ⋮ Separation of timescales for the seed bank diffusion and its jump-diffusion limit ⋮ Spatial populations with seed-bank: well-posedness, duality and equilibrium

Cites Work

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• A new coalescent for seed-bank models
• Polynomial diffusions and applications in finance
• Polynomial diffusions on compact quadric sets
• On strong solutions for positive definite jump diffusions
• Joint stationary moments of a two-island diffusion model of population subdivision
• A coalescent dual process in a Moran model with genic selection
• The coalescent in two colonies with symmetric migration
• Infinite dimensional stochastic differential equations and their applications
• On the stationary distribution of the neutral diffusion model in population genetics
• Ancestral processes with selection
• Duality and fixation in \(\Xi\)-Wright-Fisher processes with frequency-dependent selection
• On linear functional operations and the moment problem for a finite interval in one or several dimensions
• A coalescent dual process for a Wright-Fisher diffusion with recombination and its application to haplotype partitioning
• Multi-colony Wright-Fisher with seed-bank
• Exact moment calculations for genetic models with migration, mutation, and drift
• On the notion(s) of duality for Markov processes
• Coalescent theory for seed bank models
• The Coalescent in Peripatric Metapopulations
• A coalescent dual process in a Moran model with genic selection, and the lambda coalescent limit

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