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Dynamics of stochastic microorganism flocculation models

Year: 2025

Type: preprint

Abstract: In this paper we study the dynamics of stochastic microorganism flocculation models. Given the strong influence of environmental and seasonal fluctuations that are present in these models, we propose a stochastic model that includes multiple layers of stochasticity, from small Brownian fluctuations, to possibly large changes due to environmental 'shifts'. We are able to give a full classification of the asymptotic behavior of these models. New techniques had to be developed to prove the persistence and extinction of the process as the system is not in Kolmogorov form and, as a result, the analysis is significantly more involved.

Source: PubMed

DOI: 10.48550/arxiv.2511.12975

Authors: Hening, Alexandru, Hieu, Nguyen T., Nguyen, Dang H., Nguyen, Nhu

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: green

OpenAlex ID: W4416361096

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