Towards a quantitative reduction of the SIR epidemiological model

Matteo Colangeli; Adrian Muntean

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arXiv · 2103.06863

Towards a quantitative reduction of the SIR epidemiological model

Matteo Colangeli·Adrian Muntean

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Abstract

Motivated by our intention to use SIR-type epidemiological models in the context of dynamic networks as provided by large-scale highly interacting inhomogeneous human crowds, we investigate in this framework possibilities to reduce the classical SIR model to a representative evolution model for a suitably chosen observable. For selected scenarios, we provide practical {\em a priori} error bounds between the approximate and the original observables. Finally, we illustrate numerically the behavior of the reduced models compared to the original ones.

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Matteo Colangeli, Adrian Muntean. 2021-03-11. Towards a quantitative reduction of the SIR epidemiological model. https://arxiv.org/abs/2103.06863

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