DYNAMICS OF STOCHASTIC MICROORGANISM FLOCCULATION MODELS.

Alexandru Hening, Nguyen T Hieu, Dang H Nguyen, Nhu Nguyen

Abstract readPreprint

In one paragraph

Article in ArXiv, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it

0cells of the map it votes in

0citing papers in PubMed

–field-weighted citation impact

1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Alexandru HeningDepartment of Mathematics, Texas A&M University, Mailstop 3368, College Station, TX 77843-3368, United States.

Nguyen T HieuFaculty of Mathematics Mechanics and Informatics, Vietnam National University of Science, Hanoi 334 Nguyen Trai St, Hanoi, Vietnam.

Dang H NguyenDepartment of Mathematics, University of Alabama, 345 Gordon Palmer Hall, Box 870350, Tuscaloosa, AL 35487-0350, United States.

Nhu NguyenDepartment of Mathematics and Applied Mathematical Sciences, University of Rhode Island, 5 Lippitt Road, Suite 200, Kingston, RI 02881-2018, United States.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

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.

Indexed as

ergodicityextinctionflocculation modelinvariant measurespersistenceswitching diffusion

Identifiers

PMID41333167

PMCPMC12668023

What OpenQuestion holds

Textmetadata

LicenceCC BY

Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.