Model of phenotypic evolution in hermaphroditic populations.
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 phenotypic distribution. The main result of the paper is a theorem on asymptotic stability of trait distribution. This theorem is applied to models with the offspring trait distribution given by additive and multiplicative random perturbations of the parental mean trait.
Institute of Mathematics, Polish Academy of Sciences, Bankowa 14, 40-007 , Katowice, Poland, rudnicki@us.edu.pl.
Ryszard
R
Rudnicki
Paweł
P
Zwoleński
D000818:Animals; D005075:Biological Evolution; D056808:Biostatistics; D005260:Female; D005828:Genetics, Population / Q000706:statistics & numerical data; D057850:Hermaphroditic Organisms / Q000235:genetics*; D008297:Male; D055641:Mathematical Concepts; D052586:Mating Preference, Animal; D008957:Models, Genetic; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D010641:Phenotype; D012098:Reproduction / Q000235:genetics; D012641:Selection, Genetic