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 |
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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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