Mathematical Models of Frequency-Dependent Selection and Assortative Mating
Kristan Schneider
(University of Vienna)
Abstract:
In the last couple of years much attention was drawn to the topic
of sympatric speciation, i.e., the emergence of reproductively
isolated clusters in a randomly encountering population. The
theory of speciation in sympatry has been regarded to be
controversial because of the lack of convincing biological
examples. Therefore, theoretical models underlying the possibility
of sympatric speciation are much appreciated.
We develop models frequency-dependent selection and assortative
mating in terms of ordinary differential and difference equation,
that confirm the possibility of sympatric speciation.