Multitype SIR epidemics among a population partitioned into households with proportionate global mixing.

Abstract read

In one paragraph

Article in Journal of mathematical biology, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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0cells of the map it votes in

0citing papers in PubMed

–field-weighted citation impact

1 · What the graph read from it

What it found

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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

0 citing papers in PubMed.

No citing paper in PubMed yet.

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

2 authors.

Frank BallSchool of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK. frank.ball@nottingham.ac.uk.ORCID http://orcid.org/0000-0002-5599-2903

Liam CritcherSchool of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK.ORCID http://orcid.org/0009-0000-7919-2938

Funding

Engineering and Physical Sciences Research Council EPSRC Doctoral Training Grant

6 · The paper itself

Abstract

A stochastic model for an SIR epidemic among a population of households that contains J types of individuals is considered. Infectives make two kinds of contacts: local contacts with individuals in their own household and global contacts with individuals from the entire population. Global mixing is proportionate. The behaviour of the model as the population size tends to infinity is analysed. An approximating branching process for the early stages of an epidemic is used to determine several different reproduction numbers and the early exponential growth rate. The means of certain final outcome quantities of an epidemic which takes off are determined, together with an associated multivariate central limit theorem. The assumption of proportionate global mixing leads to considerable simplification in both the calculation and proof of asymptotic properties, since key underlying processes are one-dimensional rather than J-dimensional.

Indexed as

Communicable DiseasesEpidemicsEpidemiological ModelsModels, BiologicalBasic Reproduction NumberComputer SimulationFamily CharacteristicsHumansMathematical ConceptsPopulation DensityStochastic ProcessesBranching processEpidemic processFinal outcomeMultivariate central limit theoremProportionate global mixingReproduction numbers

Identifiers

PMID42036476

DOI10.1007/s00285-026-02359-5

PMCPMC13111495

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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.