Comparison between stochastic and deterministic selection-mutation models

We present a deterministic selection-mutation model with adiscrete trait variable. We show that for an irreducibleselection-mutation matrix in the birth term the deterministicmodel has a unique interior equilibrium which is globally stable.Thus all subpopulations coexist. In the pure selection case,...

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Bibliographic Details
Published in:Mathematical Biosciences and Engineering
Main Authors: Azmy S. Ackleh, Shuhua Hu
Format: Article
Language:English
Published: AIMS Press 2007-01-01
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.133