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On the Kermack–McKendrick with Weibull residence times

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AbstractIn 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.
Title: On the Kermack–McKendrick with Weibull residence times
Description:
AbstractIn 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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