mathnasТруды Института математики НАН БеларусиProceedings of the Institute of Mathematics of the NAS of Belarus1812-5093Институт математики НАН Беларусиmathnas-72Research ArticleВЫЧИСЛИТЕЛЬНАЯ МАТЕМАТИКАCOMPUTATIONAL MATHEMATICSОб одной стохастической модели дойного стадаAbout one stochastic model of a dairy herdЖерелоА.ZhereloA.

Минск

zherelo@bsu.byКрыловГ.KrylovG.

Минск

Minsk

rylov@bsu.byОболонкинВ.ObolonkinV.ЙоргенсенМ.JorgensenM.

Гамильтон

Hamilton

СпелманР.SpielmanR.

Гамильтон

Hamilton

Белорусский государственный университетBelarusian State UniversityОтдел общественного здравоохранения, Совет по здравоохранению округа НортлендPublic Health Unit, Northland District Health BoardУниверситет ВайкатоUniversity of WaikatoLivestock Improvement CorporationLivestock Improvement Corporation20253006202533195110Copyright © Жерело А., Крылов Г., Оболонкин В., Йоргенсен М., Спелман Р., 20252025Жерело А., Крылов Г., Оболонкин В., Йоргенсен М., Спелман Р.Zherelo A., Krylov G., Obolonkin V., Jorgensen M., Spielman R.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://mathnas.ejournal.by/jour/article/view/72

В работе предложена стохастическая модель, описывающая динамику биаллельного полиморфизма в дойном стаде. Предложенная модель предполагает, что стадо формируется в условиях контролируемого спаривания. Система уравнений, описывающих модель основана на использовании случайных процессов, содержащих скачки. Построен дискретный аналог стохастической системы, для которого проведена Монте-Карло симуляция.

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.

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The authors declare that there are no conflicts of interest present.