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Journal Articles Bulletin of Mathematical Biology Year : 2023

The role of permanently resident populations in the two-patches SIR model with commuters

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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.
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Dates and versions

hal-03872579 , version 1 (25-11-2022)

Licence

Attribution - CC BY 4.0

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Alain Rapaport, Ismail Mimouni. The role of permanently resident populations in the two-patches SIR model with commuters. Bulletin of Mathematical Biology, 2023, 85 (3), ⟨10.1007/s11538-022-01111-6⟩. ⟨hal-03872579⟩
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