Athreya, K. B.
(1991)
*Rates of decay for the survival probability of a mutant gene*
Journal of Mathematical Biology, 30
(6).
pp. 577-581.
ISSN 0303-6812

Full text not available from this repository.

Official URL: http://www.springerlink.com/content/770u16p3242078...

Related URL: http://dx.doi.org/10.1007/BF00175607

## Abstract

If qk is the extinction probability of a slightly supercritical branching process with offspring distributionP kr :r = 0, 1, 2,..., then it is shown that if sup ∑r r ^{3} p kr , <∞, inf σ^{2} k > 0, and m _{k} → 1, then 1 -q _{k} ~ 2(m _{k} -1)σ k ^{-2}, where m_{ k} = ∑ r rp kr , σ^{2} k = ∑^{k} r r ^{2} p kr −m k ^{2}. 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.

Item Type: | Article |
---|---|

Source: | Copyright of this article belongs to Springer-Verlag. |

Keywords: | Mutant Gene; Branching Process; Extinction Probability |

ID Code: | 1145 |

Deposited On: | 05 Oct 2010 12:52 |

Last Modified: | 12 May 2011 10:00 |

Repository Staff Only: item control page