Kinetic SIR equations and particle limits (Q2240521)
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scientific article; zbMATH DE number 7420114
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kinetic SIR equations and particle limits |
scientific article; zbMATH DE number 7420114 |
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Kinetic SIR equations and particle limits (English)
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4 November 2021
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Summary: We present and analyze two simple \(N\)-particle systems for the spread of an infection, respectively with binary and with multi-body interactions. We establish a convergence result, as \(N\to\infty\), to a set of kinetic equations, providing a mathematical justification of related numerical schemes. We analyze rigorously the time asymptotics of these equations, and compare the models numerically.
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Boltzmann equation
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SIR model
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stochastic particle system
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propagation of chaos
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0.8592485
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0.8529786
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