2013/09/12 by Ryszard Rudnicki, Rudnicki, Ryszard, Paweł Zwoleński +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #60K35 #92D15 #Classical Analysis and ODEs (math.CA) #Evolution and Genetic Dynamics #FOS: Biological sciences #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE) #Primary 47J35: Secondary: 34G20 #Probability (math.PR) #math.CA #math.PR #msc:34G20 #msc:60K35 #msc:92D15 #q-bio.PE
paper · pdf · doi:10.48550/arxiv.1309.3243
arxiv created 2013/09/12 · openalex publication_date 2013/09/12 · arxiv updated 2013/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider an individual based model of phenotypic evolution in hermaphroditic populations which includes random and assortative mating of individuals. By increasing the number of individuals to infinity we obtain a nonlinear transport equation, which describes the evolution of distribution of phenotypic traits. Existence of an one-dimensional attractor is proved and the formula for the density of phenotypic traits in the limiting (asymptotic) population is derived in some particular case.