title: The selection mutation equation.
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.
mesh_terms: D005787:Gene Frequency; D005838:Genotype; D008433:Mathematics; D008957:Models, Genetic; D009154:Mutation; D011110:Polymorphism, Genetic; D011336:Probability; D012641:Selection, Genetic