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Purdue University

Applied Mathematics

Age of infection

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An Epidemic Model Structured By The Time Since Last Infection, Jorge Alturo Alfaro Murillo Oct 2013

An Epidemic Model Structured By The Time Since Last Infection, Jorge Alturo Alfaro Murillo

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Epidemiological models structured by time since infection have their origin in the seminal work of 1927 by Kermack and McKendrick. Compared to ordinary differential equations (ODE) models, they are able to capture differences in infectivity of the individuals in a more suitable manner. Their use declined in the second half of the 20th century, probably because the theory for ODE models is more robust, complete and has proved successful in providing insights and predictions for many epidemiological problems. Nevertheless, it is important to understand in what occasions the inclusion of time since infection may alter the outcomes in a significant …