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Numerical Stochastic Simulation of Spatially Heterogeneous Population Научная публикация

Журнал

Numerical Analysis and Applications
ISSN: 1995-4239

Вых. Данные

Год: 2024, Том: 17, Номер: 2, Страницы: 174-187 Страниц : 14 DOI: 10.1134/s1995423924020071

Ключевые слова

population dynamics, compartmental system, oriented graph, branching random process, queuing system, Poisson distribution, Monte Carlo method, computational experiment.

Авторы

Pertsev N.V. ¹ , Topchii V.A. ¹ , Loginov K.K. ¹

Организации

1	Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

Информация о финансировании (1)

Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН».

FWNF-2022-0003

A continuous-discrete stochastic model is constructed to describe the evolution of a spatially heterogeneous population. The population structure is defined in terms of a graph with two vertices and two unidirectional edges. The graph describes the presence of individuals in the population at the vertices and their transitions between the vertices along the edges. Individuals enter the population to each of the vertices of the graph from an external source. The duration of the migration of individuals along the edges of the graph is constant. Individuals may die or turn into individuals of other populations not considered in the model. The assumptions of the model are formulated, and a probabilistic formalization of the model and a numerical simulation algorithm based on the Monte Carlo method are given. The laws of population size distribution are studied. The results of a computational experiment are presented.

Pertsev N.V. , Topchii V.A. , Loginov K.K.
Numerical Stochastic Simulation of Spatially Heterogeneous Population
Numerical Analysis and Applications. 2024. V.17. N2. P.174-187. DOI: 10.1134/s1995423924020071 WOS Scopus РИНЦ OpenAlex

Перцев Н.В. , Топчий В.А. , Логинов К.К.
Численное стохастическое моделирование пространственно неоднородной популяции
Сибирский журнал вычислительной математики. 2024. Т.27. №2. С.217-232. DOI: 10.15372/SJNM20240207 РИНЦ OpenAlex

Поступила в редакцию:	9 февр. 2024 г.
Принята к публикации:	4 мар. 2024 г.
Опубликована в печати:	28 мая 2024 г.
Опубликована online:	28 мая 2024 г.

Web of science:	WOS:001234788900007
Scopus:	2-s2.0-85194577069
РИНЦ:	67307252
OpenAlex:	W4399122959

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