Stochastic effects in the eco-epidemiological model with multirhythmicity
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Stochastic effects in the eco-epidemiological model with multirhythmicity
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| Автор |
Bashkirtseva, I.
Perevalova, T. Ryashko, L. |
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| Описание |
We consider the eco-epidemiological "predator-prey"model taking into account the Allee effect in the population of predators and dividing the prey population into infected and susceptible. Depending on the Allee parameter, bifurcation analysis with the identification of zones of bi- and multirhythmicity is carried out. Spatial basins of attraction for cycles are constructed. For the stochastic version of the model, probabilistic mechanisms of transitions between two different regular oscillatory regimes and between regular and chaotic ones are studied. The preferential modes that occur in the presence of random interference are determined. A phenomenon of noise-induced extinction of the predator population is discussed. © 2022 Author(s).
Russian Science Foundation, RSF, (N 21-11-00062) The work was supported by Russian Science Foundation (N 21-11-00062). |
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| Дата |
2024-04-22T15:52:34Z
2024-04-22T15:52:34Z 2022 |
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| Тип |
Conference paper
Conference object (info:eu-repo/semantics/conferenceObject) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Bashkirtseva, I, Perevalova, T & Ryashko, L 2022, Stochastic effects in the eco-epidemiological model with multirhythmicity. в MD Todorov (ред.), Application of Mathematics in Technical and Natural Sciences - 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2021., 070003, AIP Conference Proceedings, Том. 2522, American Institute of Physics Inc., 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2021, Albena, Болгария, 24/06/2021. https://doi.org/10.1063/5.0101207
Bashkirtseva, I., Perevalova, T., & Ryashko, L. (2022). Stochastic effects in the eco-epidemiological model with multirhythmicity. в M. D. Todorov (Ред.), Application of Mathematics in Technical and Natural Sciences - 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2021 [070003] (AIP Conference Proceedings; Том 2522). American Institute of Physics Inc.. https://doi.org/10.1063/5.0101207 978-073544361-7 0094-243X Final All Open Access; Bronze Open Access https://aip.scitation.org/doi/pdf/10.1063/5.0101207 https://aip.scitation.org/doi/pdf/10.1063/5.0101207 http://elar.urfu.ru/handle/10995/132325 10.1063/5.0101207 85140227877 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
American Institute of Physics Inc.
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| Источник |
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’21
AIP Conference Proceedings |
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