The Quasispecies Equation and Classical Population Models is popular PDF and ePub book, written by Raphaël Cerf in 2022-08-31, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Quasispecies Equation and Classical Population Models can be Read Online from any device for your convenience.
The Quasispecies Equation and Classical Population Models Book PDF Summary
This monograph studies a series of mathematical models of the evolution of a population under mutation and selection. Its starting point is the quasispecies equation, a general non-linear equation which describes the mutation-selection equilibrium in Manfred Eigen’s famous quasispecies model. A detailed analysis of this equation is given under the assumptions of finite genotype space, sharp peak landscape, and class-dependent fitness landscapes. Different probabilistic representation formulae are derived for its solution, involving classical combinatorial quantities like Stirling and Euler numbers. 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.
Detail Book of The Quasispecies Equation and Classical Population Models PDF
- Author : Raphaël Cerf
- Release : 31 August 2022
- Publisher : Springer Nature
- ISBN : 9783031086632
- Genre : Mathematics
- Total Page : 236 pages
- Language : English
- PDF File Size : 14,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book The Quasispecies Equation and Classical Population Models by Raphaël Cerf, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.