On inherited fertility in biological systems: a model of correlated fluctuations in the stochastic branching process

Yuri A. Berlin*, Dmitri O. Drobnitsky, Vitalii I. Goldanskii, Vladimir V. Kuz'min

*Corresponding author for this work

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

A new evolutionary model with hereditary model considered as correlated fluctuations of fertility has been proposed. It has been demonstrated that the model allows the global statistical properties of the system to be evaluated, e.g. the ensemble average and the probability of extinction. The results obtained show the increase of instability of a population with the enhancement of inheritance efficiency. The existence of at least an exponential stratification in the population has also been shown. Possible applications of the present model are discussed.

Original languageEnglish (US)
Pages (from-to)185-192
Number of pages8
JournalBioSystems
Volume26
Issue number3
DOIs
StatePublished - 1992

Keywords

  • Correlated fluctuations
  • Fertility
  • Heredity
  • Non-Markovian stochastic branching process

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Applied Mathematics

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