Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Oscillation and stability in a simple genotype selection model


Authors: E. A. Grove, V. Lj. Kocić, G. Ladas and R. Levins
Journal: Quart. Appl. Math. 52 (1994), 499-508
MSC: Primary 92D10; Secondary 39A12
DOI: https://doi.org/10.1090/qam/1292200
MathSciNet review: MR1292200
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Abstract | References | Similar Articles | Additional Information

Abstract: We study the oscillation, the stability, and the global attractivity of the simple genotype selection model

$\displaystyle {y_{n + 1}} = \frac{{{y_n}{e^{\beta \left( 1 - 2{y_{n - k}}\right... ...{y_n} + {y_n}{e^{\beta \left(1 - 2{y_{n - k}} \right)}}}}, \qquad n = 0, 1,...,$

where $ \beta \in \left( 0, \infty \right)$ and $ k \in \{ 0, 1, 2,...\}$.

References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/qam/1292200
Article copyright: © Copyright 1994 American Mathematical Society


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