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

Athreya, K. B. (1993) Rates of decay for the survival probability of a mutant gene II the multitype case Journal of Mathematical Biology, 32 (1). pp. 45-53. ISSN 0303-6812

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Official URL: http://www.springerlink.com/content/j612620j434254...

Related URL: http://dx.doi.org/10.1007/BF00160373

Abstract

This paper extends the results of [1] to the multitype case. For a multitype branching process that is slightly supercritical, approximations for the survival probability in terms of the maximal eigenvalue ρ of the mean matrix and a generalized variance σ2 are developed. Our results improve upon those of Hoppe [5] and Eshel [3] that seek to validate a conjecture of Ewens [4].

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
Keywords:Multitype Branching Process; Survival Probability; Mutant Gene
ID Code:1147
Deposited On:05 Oct 2010 12:52
Last Modified:12 May 2011 09:56

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