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

doi:10.1016/0303-2647(92)90078-D

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

Chemistry

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	185-192
Number of pages	8
Journal	BioSystems
Volume	26
Issue number	3
DOIs	https://doi.org/10.1016/0303-2647(92)90078-D
State	Published - 1992

Keywords

Correlated fluctuations
Fertility
Heredity
Non-Markovian stochastic branching process

ASJC Scopus subject areas

Applied Mathematics
General Biochemistry, Genetics and Molecular Biology
Statistics and Probability
Modeling and Simulation

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10.1016/0303-2647(92)90078-D

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

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.",

keywords = "Correlated fluctuations, Fertility, Heredity, Non-Markovian stochastic branching process",

author = "Berlin, {Yuri A.} and Drobnitsky, {Dmitri O.} and Goldanskii, {Vitalii I.} and Kuz'min, {Vladimir V.}",

year = "1992",

doi = "10.1016/0303-2647(92)90078-D",

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T2 - a model of correlated fluctuations in the stochastic branching process

AU - Berlin, Yuri A.

AU - Drobnitsky, Dmitri O.

AU - Goldanskii, Vitalii I.

AU - Kuz'min, Vladimir V.

PY - 1992

Y1 - 1992

N2 - 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.

AB - 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.

KW - Correlated fluctuations

KW - Fertility

KW - Heredity

KW - Non-Markovian stochastic branching process

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EP - 192

JO - BioSystems

JF - BioSystems

IS - 3

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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