The Quasispecies Equation and Classical Population Models / Probability Theory and Stochastic Modelling Bd.102 (PDF)
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It is shown how quasispecies and error threshold phenomena emerge in finite population models, and full mathematical proofs are provided in the case of the Wright-Fisher model. Along the way, exact formulas are obtained for the quasispecies distribution in the long chain regime, on the sharp peak landscape and on class-dependent fitness landscapes.
Finally, several other classical population models are analyzed, with a focus on their dynamical behavior and their links to the quasispecies equation.
This book will be of interest to mathematicians and theoretical ecologists/biologists working with finite population models.
- Autoren: Raphaël Cerf , Joseba Dalmau
- 2022, 1st ed. 2022, 242 Seiten, Englisch
- Verlag: Springer International Publishing
- ISBN-10: 3031086635
- ISBN-13: 9783031086632
- Erscheinungsdatum: 30.07.2022
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- Grösse: 5.57 MB
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