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Mean Field Analysis of Hypergraph Contagion Models

We typically interact in groups, not just in pairs. For this reason, it has recently been proposed that the spread of information, opinion, or disease should be modeled over a hypergraph rather than a standard graph. The use of hyperedges naturally allows for a nonlinear rate of transmission, in terms of both the group size and the number of infected group members, as is the case, for example, when social distancing is encouraged. We consider a general class of individual-level, stochastic, susceptible-infected-susceptible models on a hypergraph, and focus on a mean field approximation proposed in [G. F. de Arruda, G. Petri, and Y. Moreno, Phys. Rev. Res., 2 (2020), 023032]. We derive spectral conditions under which the mean field model predicts local or global stability of the infection-free state. We also compare these results with (a) a new condition that we derive for decay to zero in mean for the exact process, (b) conditions for a different mean field approximation in [D. J. Higham and H.-L. de Kergorlay, Proc. A, 477 (2021), 20210232], and (c) numerical simulations of the microscale model.

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Informasi Detail

Judul Seri

SIAM JOURNAL ON APPLIED MATHEMATICS; Vol.82 No.6 November-December 2022

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 1987-2007

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

EPIDEMIOLOGY
SPECTRAL ANALYSIS
COMPARTMENTAL
COLLECTIVE CONTAGION
SUSCEPTIBLE INFECTED-SUSCEPTIBLE

Info Detail Spesifik

https://doi.org/10.1137/21M1440219

Pernyataan Tanggungjawab

Desmond John Higham, Henry-Louis de Kergorlay

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