Diffusion approximation for an age-class-structured population under viability and fertility selection with application to fixation probability of an advantageous mutant
| Autor: | Cíntia Dalila Soares, Sabin Lessard |
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| Rok vydání: | 2019 |
| Předmět: |
media_common.quotation_subject
Frequency-dependent selection Population Mutant Fertility Leslie matrix Haploidy 01 natural sciences 010305 fluids & plasmas 03 medical and health sciences Gene Frequency 0103 physical sciences Statistics Selection Genetic education Probability 030304 developmental biology Mathematics media_common Population Density 0303 health sciences education.field_of_study Models Genetic Reproduction Applied Mathematics Heavy traffic approximation Agricultural and Biological Sciences (miscellaneous) Fixation (population genetics) Genetics Population Modeling and Simulation Mutation Reproductive value |
| Zdroj: | Journal of Mathematical Biology. 79:2069-2110 |
| ISSN: | 1432-1416 0303-6812 |
| DOI: | 10.1007/s00285-019-01420-w |
| Popis: | In this paper, we ascertain the validity of a diffusion approximation for the frequencies of different types under recurrent mutation and frequency-dependent viability and fertility selection in a haploid population with a fixed age-class structure in the limit of a large population size. The approximation is used to study, and explain in terms of selection coefficients, reproductive values and population-structure coefficients, the differences in the effects of viability versus fertility selection on the fixation probability of an advantageous mutant. |
| Databáze: | OpenAIRE |
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