Numerical Stochastic Modeling of Dynamics of Interacting Populations Full article
| Journal |
Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797 |
||
|---|---|---|---|
| Output data | Year: 2022, Volume: 16, Number: 3, Pages: 524-539 Pages count : 16 DOI: 10.1134/S1990478922030164 | ||
| Tags | continuous-discrete random process; development of populations dependent on the past; epidemiology; Monte Carlo method; population dynamics; stage-dependent model | ||
| Authors |
|
||
| Affiliations |
|
Funding (2)
| 1 | Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». | FWNF-2022-0003 |
| 2 | Russian Foundation for Basic Research | 20-04-60157 |
Abstract:
A continuous-discrete stochastic model of the dynamics of populations of interacting individuals is considered. The model is interpreted as a multidimensional random process for the sizes of different populations. The model description is based on combining the Markov approach for the influx of individuals from an exogenous source, the death of individuals due to natural causes, the interaction of individuals implying their simultaneous death, and transformation and generation of offspring in different populations and the presence of non-Markov constraints on the duration of stay of individuals in some populations. A formal probability-theoretic description of the model is given taking into account the current state of populations and the prehistory of their development. The algorithm of direct statistical modeling of the dynamics of the components of the constructed random process is presented. Based on the algorithm, a numerical study of the stage-dependent stochastic model of the epidemic process is carried out.
Cite:
Pertsev N.V.
, Topchii V.A.
, Loginov K.K.
Numerical Stochastic Modeling of Dynamics of Interacting Populations
Journal of Applied and Industrial Mathematics. 2022. V.16. N3. P.524-539. DOI: 10.1134/S1990478922030164 Scopus РИНЦ OpenAlex
Numerical Stochastic Modeling of Dynamics of Interacting Populations
Journal of Applied and Industrial Mathematics. 2022. V.16. N3. P.524-539. DOI: 10.1134/S1990478922030164 Scopus РИНЦ OpenAlex
Original:
Перцев Н.В.
, Топчий В.А.
, Логинов К.К.
Численное стохастическое моделирование динамики взаимодействующих популяций
Сибирский журнал индустриальной математики. 2022. Т.25. №3. С.135-153. DOI: 10.33048/SIBJIM.2022.25.312 РИНЦ
Численное стохастическое моделирование динамики взаимодействующих популяций
Сибирский журнал индустриальной математики. 2022. Т.25. №3. С.135-153. DOI: 10.33048/SIBJIM.2022.25.312 РИНЦ
Dates:
| Submitted: | Jan 11, 2022 |
| Accepted: | Jan 13, 2022 |
| Published print: | Dec 18, 2022 |
| Published online: | Dec 18, 2022 |
Identifiers:
| Scopus: | 2-s2.0-85144091035 |
| Elibrary: | 58888384 |
| OpenAlex: | W4312462550 |