Evidence map›Paper›PMID 28685365›Full record

ArticleJournal of mathematical biology2018

Mean-field models for non-Markovian epidemics on networks.

Neil Sherborne, Joel C Miller, Konstantin B Blyuss, Istvan Z Kiss

Abstract read
In one paragraph

Article in Journal of mathematical biology, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.

0numbers the graph read from it
0cells of the map it votes in
15citing 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

15 citing papers in PubMed.

  1. Article
  2. Article
  3. Article
  4. Towards Inferring Network Properties from Epidemic Data.Bulletin of mathematical biology · 2023
    Article
  5. Article
  6. Article
  7. Article
  8. The role of connectivity on COVID-19 preventive approaches.medRxiv : the preprint server for health sciences · 2021
    Article
  9. Article
  10. Article
  11. Article
  12. Article
  13. Article
  14. Pairwise approximation forProceedings. Mathematical, physical, and engineering sciences · 2018
    Article
  15. 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.

Neil SherborneDepartment of Mathematics, School of Mathematical and Physical Sciences, University of Sussex, Falmer, Brighton, BN1 9QH, UK.
Joel C MillerSchool of Mathematics, Monash University, Melbourne, VIC, Australia.
Konstantin B BlyussDepartment of Mathematics, School of Mathematical and Physical Sciences, University of Sussex, Falmer, Brighton, BN1 9QH, UK. k.blyuss@sussex.ac.uk.
Istvan Z KissDepartment of Mathematics, School of Mathematical and Physical Sciences, University of Sussex, Falmer, Brighton, BN1 9QH, UK.

Funding

Engineering and Physical Sciences Research Council EP/M506667/1
6 · The paper itself

Abstract

This paper introduces a novel extension of the edge-based compartmental model to epidemics where the transmission and recovery processes are driven by general independent probability distributions. Edge-based compartmental modelling is just one of many different approaches used to model the spread of an infectious disease on a network; the major result of this paper is the rigorous proof that the edge-based compartmental model and the message passing models are equivalent for general independent transmission and recovery processes. This implies that the new model is exact on the ensemble of configuration model networks of infinite size. For the case of Markovian transmission the message passing model is re-parametrised into a pairwise-like model which is then used to derive many well-known pairwise models for regular networks, or when the infectious period is exponentially distributed or is of a fixed length.

Indexed as

EpidemicsModels, BiologicalCommunicable DiseasesComputational BiologyComputer SimulationHumansMarkov ChainsMathematical ConceptsProbabilityStochastic ProcessesTime FactorsEpidemics on networksMean-field modelsNon-Markovian transmission and recovery

Identifiers

PMID28685365
PMCPMC5772140

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.