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Session 23. Nonlinear Evolution Equations and their Applications
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On a sexual model of phenotypic evolution |
Ryszard Rudnicki, Polish Academy of Sciences, Poland
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We present an individual based model of phenotypic evolution which
includes random and assortative mating process of individuals with
or without self-fertilization phenomena. By increasing the number of
individuals to infinity we obtain a nonlinear transport equation,
which describes the evolution of distribution densities of
phenotypic trait. Existence of one-dimensional attractor is proved
and the formula for the density of phenotypic trait in the limiting
(asymptotic) population is derived in some particular case. The talk is based
on a manuscript:
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References- R. Rudnicki and P. Zwoleśki, Model of
phenotypic evolution in hermaphroditic populations ,
J. Math. Biol. 2014.
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