Dynamics of stochastic microorganism flocculation models
Probability
2025-11-18 v1 Populations and Evolution
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.
Cite
@article{arxiv.2511.12975,
title = {Dynamics of stochastic microorganism flocculation models},
author = {Alexandru Hening and Nguyen T. Hieu and Dang H. Nguyen and Nhu Nguyen},
journal= {arXiv preprint arXiv:2511.12975},
year = {2025}
}
Comments
22 pages