How to explore replicator equations?

2008/12/22 by Georgy P. Karev, Karev, G. P.
Biochemistry, Genetics and Molecular Biology · Medicine · Social Sciences · #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE) #Quantitative Methods (q-bio.QM)

paper · pdf · doi:10.48550/arxiv.0812.4295

openalex publication_date 2008/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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