Periodic epidemic outbursts explained by local saturation of clusters - Archive ouverte HAL
Article Dans Une Revue Physical Review E Année : 2023

Periodic epidemic outbursts explained by local saturation of clusters

Résumé

Adding the notion of spatial locality to the susceptible-infected-recovered (or SIR) model, allows to capture local saturation of an epidemic. The resulting minimum model of an epidemic, consisting of five ordinary differential equations with constant model coefficients, reproduces slowly decaying periodic outbursts, as observed in the COVID-19 or Spanish flu epidemic. It is shown that if immunity decays, even slowly, the model yields a fully periodic dynamics.
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Dates et versions

hal-03964546 , version 1 (31-01-2023)

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Louis Gostiaux, Wouter J T Bos, Jean-Pierre Bertoglio. Periodic epidemic outbursts explained by local saturation of clusters. Physical Review E , 2023, 107 (1), pp.L012201. ⟨10.1103/PhysRevE.107.L012201⟩. ⟨hal-03964546⟩
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