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Modeling stochastically driven population invasions in equations by delayed counteraction

TitleModeling stochastically driven population invasions in equations by delayed counteraction
AuthorsA. Y. Perevaryukha1, I. V. Trofimova2, V. V. Mikchailov1
1St. Petersburg Federal Research Center RAS
2St. Petersburg State University
AnnotationAggressive invasive processes are increasingly observed in the northern ecosystems due to climate change, southern species are actively crowding out the autochthonous fauna. Processes during invasions turn out to be extremely diverse even for one migratory species in different environments. It is important to consider scenarios for changing the biodiversity of communities in models with variously speci-fied impacts. To describe scenarios of confrontation between invaders and the biotic envi-ronment, the paper proposes equations with a perturbed delayed action that simulates adaptation. A description of the situation of long-term fluctuations in abundance with the final state of a critical minimum after the primary outbreak of an overly aggressive invasive species is obtained.
KeywordsModeling of invasion processes, stochastic perturbation, equations with delay
CitationPerevaryukha A. Y., Trofimova I. V., Mikchailov V. V. ''Modeling stochastically driven population invasions in equations by delayed counteraction'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 184-188. Available at: https://conf.svmo.ru/files/2023/papers/paper29.pdf. - Date of access: 22.06.2024.