Evidence map›Paper›PMID 30136212›Full record

ArticleBulletin of mathematical biology2018

Edge-Based Compartmental Modelling of an SIR Epidemic on a Dual-Layer Static-Dynamic Multiplex Network with Tunable Clustering.

Rosanna C Barnard, Istvan Z Kiss, Luc Berthouze, Joel C Miller

Abstract readValidation Study
In one paragraph

Article in Bulletin of mathematical biology, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

0numbers the graph read from it
0cells of the map it votes in
2citing 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

2 citing papers in PubMed.

  1. Article
  2. 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.

Rosanna C BarnardDepartment of Mathematics, Pevensey III, University of Sussex, Falmer, BN1 9QH, UK. rosannabarnardresearch@gmail.com.ORCID 0000-0001-7602-0401
Istvan Z KissDepartment of Mathematics, Pevensey III, University of Sussex, Falmer, BN1 9QH, UK.ORCID 0000-0003-1473-6644
Luc BerthouzeCentre for Computational Neuroscience and Robotics, University of Sussex, Falmer, BN1 9QH, UK.ORCID 0000-0003-3774-2369
Joel C MillerInstitute for Disease Modeling, Bellevue, WA, USA.ORCID 0000-0003-4426-0405

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

The duration, type and structure of connections between individuals in real-world populations play a crucial role in how diseases invade and spread. Here, we incorporate the aforementioned heterogeneities into a model by considering a dual-layer static-dynamic multiplex network. The static network layer affords tunable clustering and describes an individual's permanent community structure. The dynamic network layer describes the transient connections an individual makes with members of the wider population by imposing constant edge rewiring. We follow the edge-based compartmental modelling approach to derive equations describing the evolution of a susceptible-infected-recovered epidemic spreading through this multiplex network of individuals. We derive the basic reproduction number, measuring the expected number of new infectious cases caused by a single infectious individual in an otherwise susceptible population. We validate model equations by showing convergence to pre-existing edge-based compartmental model equations in limiting cases and by comparison with stochastically simulated epidemics. We explore the effects of altering model parameters and multiplex network attributes on resultant epidemic dynamics. We validate the basic reproduction number by plotting its value against associated final epidemic sizes measured from simulation and predicted by model equations for a number of set-ups. Further, we explore the effect of varying individual model parameters on the basic reproduction number. We conclude with a discussion of the significance and interpretation of the model and its relation to existing research literature. We highlight intrinsic limitations and potential extensions of the present model and outline future research considerations, both experimental and theoretical.

Indexed as

EpidemicsModels, BiologicalBasic Reproduction NumberCluster AnalysisComputer SimulationDisease SusceptibilityHumansMathematical ConceptsProbabilityClusteringEdge-based compartmental modellingEpidemiologyHeterogeneityMultiplexity

Identifiers

PMID30136212
PMCPMC6153944

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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.