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Society for Mathematical Biology Conference
July 30 - August 2, 2008
Centre for Mathematical Medicine, Fields Institute
Toronto, Canada

Organizers
Organizing Committee: S.Sivaloganathan-Chair(Waterloo), M.Kohandel (Waterloo), I.Pressman(Carleton), F.Skinner(Toronto Western Research Inst.), H. Zhu(York)

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Sexual Moran Model: Theory and Simulation
by
J M Grant
Applied Mathematics, University of Western Ontario
Coauthors: L Wahl (Western) and G Wild (Western)

We describe an extension of the birth-death Moran model, incorporating sexual reproduction and a finite population size. In this model, one male and one female parent are chosen to give birth, and neither can be displaced by their offspring (in other words, neither parent can be chosen for death in that time step). If the sex ratio is fixed, we demonstrate analytically that the limiting distribution for the number of females (or males) in the population is binomial. We confirm this result numerically, by considering the eigenvalues of the associated Markov transition matrix, and by individual-based simulation. We also investigate social evolutionary questions in the context of this model.

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Date received: May 8, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawd-63.