About one stochastic model of a dairy herd
Abstract
The paper proposes a stochastic model, which describes the dynamics of biallelic polymorphism in a dairy herd. The proposed model assumes that the herd is formed under controlled mating conditions. The system of equations describing the model is based on the use of random processes containing jumps. A discrete analog of the stochastic system is constructed, for which a Monte Carlo simulation is performed.
About the Authors
A. Zherelo
Belarusian State University
Belarus
Belarus
G. Krylov
Belarusian State University
Belarus
Belarus
Minsk
V. Obolonkin
Public Health Unit, Northland District Health Board
New Zealand
New Zealand
M. Jorgensen
University of Waikato
New Zealand
New Zealand
Hamilton
R. Spielman
Livestock Improvement Corporation
New Zealand
New Zealand
Hamilton
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Review
For citations:
Zherelo A., Krylov G., Obolonkin V., Jorgensen M., Spielman R. About one stochastic model of a dairy herd. Proceedings of the Institute of Mathematics of the NAS of Belarus. 2025;33(1):95-110. (In Russ.)
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