Invariant manifolds of competitive selection-recombination dynamics (Q2289744)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant manifolds of competitive selection-recombination dynamics |
scientific article |
Statements
Invariant manifolds of competitive selection-recombination dynamics (English)
0 references
24 January 2020
0 references
The paper studies the two-locus-two-allele (TLTA) continuous time selection-recombination model from population genetics. The explicit parameter value ranges of the recombination rates and the selection coefficients are established for which the corresponding TLTA-model possesses a globally attracting invariant manifold. For the mentioned value ranges of system parameters it has been shown that the TLTA-model can be rewritten in the form of competitive system for a polyhedral cone that is a monotone system backwards in time.
0 references
invariant manifolds
0 references
population genetics
0 references
selection-recombination model
0 references
monotone systems
0 references
0 references
0 references
0 references
0 references
