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Quadratic transformations: a model for population growth. I

Published online by Cambridge University Press:  01 July 2016

Harry Kesten
Harry Kesten*
Affiliation:
Cornell University
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A reasonably general but greatly simplified model for a finite sexually reproducing population is considered. We restrict ourselves to the case where there are distinct, non-overlapping generations, but there is hope that the techniques will also be applicable to some very simple minded continuous time models with overlapping generations (see also Section 5, Example 3). There are t ∞ < ∞ different types of females and t 1 < ∞ types of males and our main concern is the asymptotic behavior of the variables and

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Research Article
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Advances in Applied Probability , Volume 2 , Issue 1 , Spring 1970 , pp. 1 - 82
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Copyright © Applied Probability Trust 

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