The role of permanently resident populations in the two-patches SIR model with commuters
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Publication:6418890
DOI10.1007/S11538-022-01111-6zbMATH Open1511.92086arXiv2211.16137MaRDI QIDQ6418890
Alain Rapaport, Ismail Mimouni
Publication date: 29 November 2022
Abstract: We consider a two-patches SIR model where communication occurs thru commuters, distinguishing explicitly permanently resident populations from commuters populations. We give an explicit formula of the reproduction number, and show how the proportions of permanently resident populations impact it. We exhibit non-intuitive situations for which allowing commuting from a safe territory to another one where the transmission rate is higher can reduce the overall epidemic threshold and avoid an outbreak.
Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability of solutions to ordinary differential equations (34D20)
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