Survival probabilities for some multitype branching processes in genetics

DOI10.1007/BF00948893zbMath0770.92020OpenAlexW4246743766MaRDI QIDQ1193524

Pollak, Edward

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/bf00948893

zbMATH Keywords

asymptotic approximationage-structured population with two sexesgeneral expressions for discrete generations of random mating populationsmaximal eigenvalue of the expectation matrixrandom mating age structured populationssurvival probability of slightly supercritical \(K\)-type branching processes

Mathematics Subject Classification ID

Genetics and epigenetics (92D10)

Related Items (1)

The effective number of a population that varies cyclically in size. II: overlapping generations

Cites Work

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• On the survival probability of a slightly advantageous mutant gene in a multitype population: A multidimensional branching process model
• The effective population size of an age-structured population with a sex- linked locus
• Effective population numbers and mean times to extinction in dioecious populations with overlapping generations
• On the survival probability of a slightly advantageous mutant gene with a general distribution of progeny size. A branching process model
• The survival probability of a mutant in a multidimensional population
• The probabilities of extinction for birth-and-death processes that are age-dependent or phase-dependent

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