Evidence map›Paper›PMID 40704180›Full record

ArticleAdvances in continuous and discrete models2025

Weak persistence and extinction of a stochastic epidemic model with distributed delay and Ornstein-Uhlenbeck process.

Yanyang Sun, Chao Liu, Lora Cheung

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In one paragraph

Article in Advances in continuous and discrete models, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing 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

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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

1 citing paper in PubMed.

  1. Review
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

3 authors.

Yanyang SunInstitute of Systems Science, Northeastern University, Wenhua Road, No.3-11, 110004 Shenyang, China.
Chao LiuInstitute of Systems Science, Northeastern University, Wenhua Road, No.3-11, 110004 Shenyang, China.ORCID 0000-0003-0085-9475
Lora CheungDepartment of Mathematics and Statistics, York University, Keele Street, No.4700, M3J 1P3 Toronto, Canada.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

A stochastic distributed delay epidemic model with Markovian switching and Allee effect is constructed, where the infectious disease transmission rate follows a mean-reverting Ornstein-Uhlenbeck process. Hybrid dynamic effects of Ornstein-Uhlenbeck process and Lévy jumps on infectious disease transmission are discussed. Stochastically, the ultimate boundedness of the positive solution is investigated. The existence of a unique global positive solution is studied. By constructing appropriate stochastic Lyapunov functionals, sufficient conditions for weak persistence of the infected population are investigated. The existence of a unique ergodic stationary distribution is discussed based on Hasminskii's ergodic theory. Sufficient conditions for the extinction of infectious disease are discussed. Numerical simulations are carried out to show consistency with the theoretical analysis.

Indexed as

Distributed delayExtinction of diseaseLévy jumpsOrnstein-Uhlenbeck processTelephone noiseWeak persistence

Identifiers

PMID40704180
PMCPMC12279583

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Registered trials

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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.