Rates of decay for the survival probability of a mutant gene

DOI10.1007/BF00948892zbMath0748.92006OpenAlexW1980199653MaRDI QIDQ1193523

Krishna B. Athreya

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf00948892

zbMATH Keywords

extinction probabilitysurvival probabilityslightly advantageous mutant geneslightly supercritical branching process

Mathematics Subject Classification ID

Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Genetics and epigenetics (92D10)

Related Items (9)

Sesqui-type branching processes ⋮ Asymptotic genealogies for a class of generalized Wright-Fisher models ⋮ An individual-based model for the Lenski experiment, and the deceleration of the relative fitness ⋮ Fixation probabilities when the population size undergoes cyclic fluctuations. ⋮ Adaptive dynamics for physiologically structured population models ⋮ Probability of fixation under weak selection: a branching process unifying approach ⋮ Haldane's formula in Cannings models: the case of moderately strong selection ⋮ Component structure of the configuration model: Barely supercritical case ⋮ Rates of decay for the survival probability of a mutant gene. II: The multitype case

Cites Work

• On the survival probability of a slightly advantageous mutant gene with a general distribution of progeny size. A branching process model
• Asymptotic rates of growth of the extinction probability of a mutant gene
• The survival of a mutant gene under selection. II
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