English

How to explore replicator equations?

Quantitative Methods 2008-12-24 v1 Populations and Evolution

Abstract

Replicator equations (RE) are among the basic tools in mathematical theory of selection and evolution. We develop a method for reducing a wide class of the RE, which in general are systems of differential equations in Banach space to escort systems of ODEs that in many cases can be explored analytically. The method has potential for different applications; some examples are given.

Cite

@article{arxiv.0812.4295,
  title  = {How to explore replicator equations?},
  author = {G. P. Karev},
  journal= {arXiv preprint arXiv:0812.4295},
  year   = {2008}
}

Comments

7 pages; Proceedings of the 6th International Conference on Differential Equations and Dynamical Systems, Baltimore MD, 2008

R2 v1 2026-06-21T11:55:07.507Z