Analysis of stochastic dynamics in a multistable logistic-type epidemiological model
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Analysis of stochastic dynamics in a multistable logistic-type epidemiological model
|
|
| Автор |
Bashkirtseva, I.
Ryashko, L. |
|
| Описание |
Motivated by the important problem of analyzing and predicting the spread of epidemics, we propose and study a discrete susceptible-infected model. This logistic-type model accounts such significant parameters as the rate of infection spread due to contacts, mortality caused by disease, and the rate of recovery. We present results of the bifurcation analysis of regular and chaotic survival regimes for interacting susceptible and infected subpopulations. Parametric zones of multistability are found and basins of coexisting attractors are determined. We also discuss the particular role of specific transients. In-phase and anti-phase synchronization in the oscillations of the susceptible and infected parts of the population is studied. An impact of inevitably present random disturbances is studied numerically and by the analytical method of confidence domains. Various mechanisms of noise-induced extinction in this epidemiological model are discussed. © 2022, The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.
Russian Science Foundation, RSF, (N 21-11-00062) The work was supported by Russian Science Foundation (N 21-11-00062). |
|
| Дата |
2024-04-08T11:05:35Z
2024-04-08T11:05:35Z 2022 |
|
| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
|
| Идентификатор |
Bashkirtseva, I & Ryashko, L 2022, 'Analysis of stochastic dynamics in a multistable logistic-type epidemiological model', European Physical Journal: Special Topics, Том. 231, № 18-20, стр. 3563-3575. https://doi.org/10.1140/epjs/s11734-022-00618-2
Bashkirtseva, I., & Ryashko, L. (2022). Analysis of stochastic dynamics in a multistable logistic-type epidemiological model. European Physical Journal: Special Topics, 231(18-20), 3563-3575. https://doi.org/10.1140/epjs/s11734-022-00618-2 1951-6355 Final All Open Access; Bronze Open Access; Green Open Access https://link.springer.com/content/pdf/10.1140/epjs/s11734-022-00618-2.pdf https://link.springer.com/content/pdf/10.1140/epjs/s11734-022-00618-2.pdf http://elar.urfu.ru/handle/10995/131181 10.1140/epjs/s11734-022-00618-2 85131782773 000810798800001 |
|
| Язык |
en
|
|
| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//21-11-00062
|
|
| Права |
Open access (info:eu-repo/semantics/openAccess)
|
|
| Формат |
application/pdf
|
|
| Издатель |
Springer Science and Business Media Deutschland GmbH
|
|
| Источник |
The European Physical Journal Special Topics
European Physical Journal: Special Topics |
|