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http://elar.urfu.ru/handle/10995/132325
Название: | Stochastic effects in the eco-epidemiological model with multirhythmicity |
Авторы: | Bashkirtseva, I. Perevalova, T. Ryashko, L. |
Дата публикации: | 2022 |
Издатель: | American Institute of Physics Inc. |
Библиографическое описание: | 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 |
Аннотация: | 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). |
URI: | http://elar.urfu.ru/handle/10995/132325 |
Условия доступа: | info:eu-repo/semantics/openAccess |
Конференция/семинар: | 24 June 2021 through 29 June 2021 |
Дата конференции/семинара: | 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2021 |
Идентификатор SCOPUS: | 85140227877 |
Идентификатор PURE: | c5651a94-18ca-4b57-b120-5b59355cf5d5 31047877 |
ISSN: | 0094-243X |
ISBN: | 978-073544361-7 |
DOI: | 10.1063/5.0101207 |
Сведения о поддержке: | Russian Science Foundation, RSF, (N 21-11-00062) The work was supported by Russian Science Foundation (N 21-11-00062). |
Располагается в коллекциях: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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Файл | Описание | Размер | Формат | |
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2-s2.0-85140227877.pdf | 861,01 kB | Adobe PDF | Просмотреть/Открыть |
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