Convergence of the mean and variance of size for a stochastic population model
type: Item
instance of: scholarly article
title: Convergence of the mean and variance of size for a stochastic population model
zbMATH Open document ID: 0859.92019
DOI: 10.1016/S0025-5564(96)00096-X
author: Smail Mahdi
published in: Mathematical Biosciences
publication date: 1997-03-25T00:00:00Z
review text: We have proved that the dynamical system of variability for the stochastic body size in a population, given by \textit{R. B. Deriso} and \textit{A. M. Parma} [Can. J. Fish. Aquat. Sci. 45, 1054-1068 (1988)], possesses a unique and globally stable fixed point in the considered case. This result excludes the existence of limit cycles or chaos for the mean and variance asymptotic body size of individuals in the population under the action of considered evolutionary forces. Moreover, numerical studies have shown rapid convergence to equilibrium, usually in fewer than 20 iterations. On the other hand, the study presented in this article can be extended to a general case of correlated characters using mathematical techniques developed previously by us [Convergence de la variabilité de caractères génétiques quantitatifs. Ph.D. thesis, Dep. Math. Stat. Univ. Montreal (1994)].
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 60K99
zbMATH DE Number: 955253
zbMATH Keywords: dynamical system of variability
zbMATH Keywords: stochastic body size
MaRDI profile type: Publication
Wikidata QID: Q47322364
full work available at URL: s0025-5564(96)00096-x
OpenAlex ID: W2150605940
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description: scientific article; zbMATH DE number 955253