Stochastic epidemic model on a simplicial complex

Gerardo Palafox-Castillo and Arturo Berrones-Santos

Physica A: Statistical Mechanics and its Applications, 2022, vol. 606, issue C

Abstract: Complex networks with pairwise connections have been vastly used for the modeling of interactions within systems. Although these type of models are capable of capturing rich structures and different phases within a great variety of situations, their lack of explicit higher order interactions might result, in some contexts, limited. In this work a stochastic epidemic model on a simplicial complex is defined, generalizing the known Markovian SIR epidemic process on networks. The stochastic microscopic process is studied by direct simulations and a homogeneous mean field description is developed. The simple dissipative SIR infection dynamics permits a thorough characterization of the epidemic for arbitrarily high order interactions.

Keywords: Complex networks; Simplicial complexes; Stochastic epidemics; Mean field approximation; Higher-order networks; Network science (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:606:y:2022:i:c:s0378437122006574

DOI: 10.1016/j.physa.2022.128053

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