The Selection Mutation Equation

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

[thumbnail of CP-85-002.pdf]

Download (687kB) | Preview


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: 27 Aug 2021 17:12

Actions (login required)

View Item View Item