Category Archives: Evolutionary theory

Another paper

Our already long list of papers devoted to the analysis of a replicator equation became longer with a new paper by Alexander Bratus, Volodya Posvyanskii and myself, “Solutions with a bounded support promote permanence of a distributed replicator equation,” which … Continue reading

Eigen quasispecies model and isometry groups

Quite some time ago Yura Semenov and I uploaded yet another paper on the quasispecies theory (this is a continuation of this research), here is an archive link. The title of the paper is “On Eigen’s quasispecies model, two-valued fitness … Continue reading

Group selection versus kin selection

The group-selection dustup continues: E. O. Wilson calls Richard Dawkins a “journalist”

Human Evolution in Scientific American

The latest issue of Scientific American is specially devoted to the human evolution. A lot of interesting articles. Link

Mathematical analysis of quasispecies model

Finally I uploaded a third our paper on the analysis of quasispecies model. Here all the links together: Linear algebra of the permutation invariant Crow-Kimura model of prebiotic evolution (This text deals with the symmetric or permutation invariant fitness landscape and … Continue reading

Modeling biological evolution

Here is the latest issue of Mathematical Modelling of Natural Phenomena devoted to the modeling of biological evolution: link This volume includes my (with co-authors) paper Replicator Equations and Space, which is somewhat different from the arXiv version in a few … Continue reading

More on quasispecies

I uploaded to arXiv our paper On the behavior of the leading eigenvalue of Eigen’s evolutionary matrices. This is our second joint work with Yura Semenov and Alexander Bratus, both from Moscow, on the Eigen model. The first one was devoted … Continue reading

What does it mean to present “an exact solution” of the quasispecies model?

This post is a continuation of many previous discussions, e.g., one, two. In a nutshell, the whole problem is to find the leading eigenvalue and the corresponding eigenvector of the eigenvalue problem where , is a positive parameter, , and … Continue reading