Haldane linearisation done right: Solving the nonlinear recombination equation the easy way

Baake E, Baake M (2016)
Discrete and Continuous Dynamical Systems. A 36(12): 6645-6656.

Zeitschriftenaufsatz | Veröffentlicht| Englisch
 
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Autor/in
Baake, EllenUniBi; Baake, Michael
Abstract / Bemerkung
The nonlinear recombination equation from population genetics has a long history and is notoriously difficult to solve, both in continuous and in discrete time. This is particularly so if one aims at full generality, thus also including degenerate parameter cases. Due to recent progress for the continuous time case via the identification of an underlying stochastic fragmentation process, it became clear that a direct general solution at the level of the corresponding ODE itself should also be possible. This paper shows how to do it, and how to extend the approach to the discrete-time case as well.
Stichworte
Nonlinear recombination equation; continuous and discrete time; population genetics; measure-valued equations; closed solution
Erscheinungsjahr
2016
Zeitschriftentitel
Discrete and Continuous Dynamical Systems. A
Band
36
Ausgabe
12
Seite(n)
6645-6656
ISSN
1078-0947
eISSN
1553-5231
Page URI
https://pub.uni-bielefeld.de/record/2908021

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Baake E, Baake M. Haldane linearisation done right: Solving the nonlinear recombination equation the easy way. Discrete and Continuous Dynamical Systems. A. 2016;36(12):6645-6656.
Baake, E., & Baake, M. (2016). Haldane linearisation done right: Solving the nonlinear recombination equation the easy way. Discrete and Continuous Dynamical Systems. A, 36(12), 6645-6656. doi:10.3934/dcds.2016088
Baake, E., and Baake, M. (2016). Haldane linearisation done right: Solving the nonlinear recombination equation the easy way. Discrete and Continuous Dynamical Systems. A 36, 6645-6656.
Baake, E., & Baake, M., 2016. Haldane linearisation done right: Solving the nonlinear recombination equation the easy way. Discrete and Continuous Dynamical Systems. A, 36(12), p 6645-6656.
E. Baake and M. Baake, “Haldane linearisation done right: Solving the nonlinear recombination equation the easy way”, Discrete and Continuous Dynamical Systems. A, vol. 36, 2016, pp. 6645-6656.
Baake, E., Baake, M.: Haldane linearisation done right: Solving the nonlinear recombination equation the easy way. Discrete and Continuous Dynamical Systems. A. 36, 6645-6656 (2016).
Baake, Ellen, and Baake, Michael. “Haldane linearisation done right: Solving the nonlinear recombination equation the easy way”. Discrete and Continuous Dynamical Systems. A 36.12 (2016): 6645-6656.

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