On the Kermack–McKendrick with Weibull residence times

Abstract

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.