Evidence map›Paper›PMID 41953577›Full record

ArticleInfectious Disease Modelling2026

Dynamics of a two-patch epidemic model with deterministic/stochastic migration and distributed delays.

Ting Kang, Boqiang Cao, Zhenfeng Shi, Qingyun Wang

Abstract read
PubMed Full text at PMC Publisher
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

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

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

4 authors.

Ting KangSchool of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China.
Boqiang CaoSchool of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China.
Zhenfeng ShiSchool of Mathematics, North University of China, Taiyuan, 030051, China.
Qingyun WangSchool of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

We study the global dynamics of a two-patch epidemic model that integrates spatial migration, Erlang-distributed delays, and environmental stochasticity. The two patches are coupled by migration whose intensities are modulated by an Ornstein-Uhlenbeck (OU) process, capturing stochasticity but mean-reverting fluctuations in population movement, while the infection progression is described by a distributed delay structure represented through a linear-chain formulation. For the deterministic system, we establish threshold-type results that characterize disease extinction and persistence: the disease-free equilibrium is globally asymptotically stable when the basic reproduction number

Indexed as

Asymptotic stabilityDistributed delayOrnstein-Uhlenbeck processStationary distributionStochastic migrationTwo-patch epidemic model

Identifiers

PMID41953577
PMCPMC13054042

What OpenQuestion holds

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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.