Evidence map›Paper›PMID 41438605›Full record

ArticleInfectious Disease Modelling2026

Dynamics and forecasting of an age-structured stochastic SIR model with Lévy perturbations via physics-informed neural networks.

Ge Zhang, Zhihao Wang, Zhiming Li, Shenglong Chen, Qiaoling Chen

Abstract read
In one paragraph

Article in Infectious Disease Modelling, 2026. 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. Article
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

5 authors.

Ge ZhangSchool of Statistical and Data Science, Xinjiang University of Finance & Economics, Urumqi 830046, China.
Zhihao WangSchool of Statistical and Data Science, Xinjiang University of Finance & Economics, Urumqi 830046, China.
Zhiming LiCollege of Mathematics and System Science, Xinjiang University, Urumqi 830017, China.
Shenglong ChenCollege of Mathematics and System Science, Xinjiang University, Urumqi 830017, China.
Qiaoling ChenSchool of Science, Xi'an Polytechnic University, Xi'an 710048, China.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Understanding and predicting real-world epidemic dynamics has consistently posed a formidable challenge. This study addresses an age-structured stochastic SIR model incorporating a general incidence rate, high-order white noise, and Lévy jump perturbations. By employing Lyapunov function method, we establish the existence and uniqueness of a global positive solution. Furthermore, we derive a stochastic threshold that delineates the conditions for disease persistence and extinction. Moreover, the existence and uniqueness of a stationary distribution are proven by applying an improved version of Hasminskii's theory. Numerical simulations based on the positivity- and boundedness-preserving Euler-Maruyama scheme corroborate the theoretical results, showing that reducing the amplitude of higher-order noise amplifies the infection burden, whereas increasing the age-structure parameters

Indexed as

Age-structuredHigher-order perturbationL<inline>acute{e}</inline>vy jumpsPINNStochastic model

Identifiers

PMID41438605
PMCPMC12721044

What OpenQuestion holds

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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.