Rates of decay for the survival probability of a mutant gene. II: The multitype case

DOI10.1007/BF00160373zbMath0788.92015MaRDI QIDQ1314238

Krishna B. Athreya

Publication date: 22 February 1994

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

zbMATH Keywords

approximationsmaximal eigenvaluesurvival probabilitygeneralized variancesupercriticalmultitype branching processmean matrix

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Genetics and epigenetics (92D10)

Related Items (3)

A pathwise approach to the extinction of branching processes with countably many types ⋮ Adaptive dynamics for physiologically structured population models ⋮ The effects of epistasis and linkage on the invasion of locally beneficial mutations and the evolution of genomic islands

Cites Work

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• 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
• Rates of decay for the survival probability of a mutant gene
• Non-negative matrices and Markov chains.

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