1.
J Math Biol
; 30(6): 577-81, 1992.
Article
in English
| MEDLINE
| ID: mdl-1640180
ABSTRACT
If qk is the extinction probability of a slightly supercritical branching process with offspring distribution [pkr:r = 0, 1, 2, ...], then it is shown that if supk sigma r r3pkr less than infinity, inf sigma 2k greater than 0, and mk----1, then 1-qk approximately 2(mk - 1)sigma -2k, where mk = sigma r rpkr, sigma 2k = k sigma r r2pkr - m2k. This provides a simple set of sufficient conditions for the validity of a conjecture of Ewens (1969) for the survival probability of a slightly advantageous mutant gene.
Subject(s)
Mutation/genetics , Probability , Selection, Genetic , Gene Frequency/genetics , Genes/genetics , Mathematics , Models, Genetic
2.
Phys Rev B Condens Matter
; 38(16): 11317-11321, 1988 Dec 01.
Article
in English
| MEDLINE
| ID: mdl-9946010