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Dal'nevostochnyi Matematicheskii Zhurnal, 2004, Volume 5, Number 2, Pages 250–262 (Mi dvmg193)  

This article is cited in 2 scientific papers (total in 2 papers)

The investigation of the model dynamics of the Mendelian one-locus poly-allelic population under the exponential density-dependent natural selection

O. L. Zhdanovaa, E. Ya. Frismanb

a Institute for Automation and Control Processes, Far Eastern Branch of the Russian Academy of Sciences
b Regional Problems Complex Analysis Institute of the Russian Academy of Sciences Far East Division
Full-text PDF (252 kB) Citations (2)
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Abstract: The generalization of the model of one-locus diploid population under the exponential density-dependent natural selection for poly-allelic population is studied in this paper. All monomorphic stationary points of polymorphic model and their stable conditions have been found. A number of statements determining dependence between the positional relationship of genotypes resort parameters and a population number in each of polymorphic stationary points have been proved. In addition, the dependence between the positional relationship of genotypes resort parameters and a stability of polymorphic stationary points has been shown analytically.
Key words: Mendelian one-locus poly-allelic population, stationary points, monomorphic, polymorphic, stability.
Received: 10.11.2004
Document Type: Article
UDC: 574.3
MSC: Primary 92D40; Secondary 92D25
Language: Russian
Citation: O. L. Zhdanova, E. Ya. Frisman, “The investigation of the model dynamics of the Mendelian one-locus poly-allelic population under the exponential density-dependent natural selection”, Dal'nevost. Mat. Zh., 5:2 (2004), 250–262
Citation in format AMSBIB
\Bibitem{ZhdFri04}
\by O.~L.~Zhdanova, E.~Ya.~Frisman
\paper The investigation of the model dynamics of the Mendelian one-locus poly-allelic population under the exponential density-dependent natural selection
\jour Dal'nevost. Mat. Zh.
\yr 2004
\vol 5
\issue 2
\pages 250--262
\mathnet{http://mi.mathnet.ru/dvmg193}
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  • This publication is cited in the following 2 articles:
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