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On the Kermack McKendrick with Weibull residence times

Cruz-Lopez, M.; Murillo-Salas, A.; Velasco-Hernandez, J. X.

2024-03-19 epidemiology
10.1101/2024.03.18.24304502 medRxiv
Show abstract

In this paper we develop a generalization of the Kermack-McKendrick SIR model where the time of infectiousness follows the Weibull distribution. We compute the equivalent classical results available for the classical SIR model, particularly a general expression for the basic reproduction number. We comment about the implications of this generalization in epidemic and metapopulation dynamics and illustrate our findings with some numerical simulations.

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