The Selection Mutation Equation

Hofbauer J (1985). The Selection Mutation Equation. IIASA Collaborative Paper. IIASA, Laxenburg, Austria: CP-85-002

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Abstract

Fisher's Fundamental Theorem of Natural Selection is extended to the selection mutation model with mutation rates epsilon_ij=epsilon_i, i.e. depending only on the target gene, by constructing a simple Lyapunov function. For other mutation rates stable limit cycles are possible. A basic tool is the description of some of the dynamical models as gradients with respect to a non-Riemann metric.

Item Type: Monograph (IIASA Collaborative Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:56
Last Modified: 23 Jul 2016 13:47
URI: http://pure.iiasa.ac.at/2746

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