Branching process models for mutant genes in nonstationary populations

DOI10.1006/tpbi.1997.1297zbMath0889.92018OpenAlexW2030032873WikidataQ73382245 ScholiaQ73382245MaRDI QIDQ1370638

Ru-Zong Fan, Kenneth L. Lange

Publication date: 14 June 1998

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/tpbi.1997.1297

zbMATH Keywords

Laplace transformsselectionrecurrence relationsPoisson processlinkage disequilibriummutation

Mathematics Subject Classification ID

Applications of branching processes (60J85) Genetics and epigenetics (92D10)

Related Items (5)

Asymptotic Behavior of Multitype Nearly Critical Galton--Watson Processes with Immigration ⋮ Supercritical branching processes and the role of fluctuations under exponential population growth ⋮ Probability of fixation under weak selection: a branching process unifying approach ⋮ Models for haplotype evolution in a nonstationary population ⋮ Conditional Distributions and Waiting Times in Multitype Branching Processes

Cites Work

• Further characterization of the long-run population distribution of a deleterious gene
• Equilibrium distributions for deleterious genes in large stationary populations
• Taylor Expansion of exp(∑ ∞ k = 0 a k z k ) and Some Applications
• Moment computations for subcritical branching processes
• Calculation of the Equilibrium Distribution for a Deleterious Gene by the Finite Fourier Transform
• The multi-type Galton-Watson process with immigration
• THE EQUILIBRIUM BETWEEN MUTATION AND RANDOM EXTINCTION
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