A time-since-infection model for populations with two pathogens

Ferdinand Pfab, Roger M. Nisbet and Cheryl J. Briggs

Theoretical Population Biology, 2022, vol. 144, issue C, 1-12

Abstract: The pioneering work of Kermack and McKendrick (1927, 1932, 1933) is now most known for introducing the SIR model, which divides a population into discrete compartments for susceptible, infected and removed individuals. The SIR model is the archetype of widely used compartmental models for epidemics. It is sometimes forgotten, that Kermack and McKendrick introduced the SIR model as a special case of a more general framework. This general framework distinguishes individuals not only by whether they are susceptible, infected or removed, but additionally tracks the time passed since they got infected. Such time-since-infection models can mechanistically link within-host dynamics to the population level. This allows the models to account for more details of the disease dynamics, such as delays of infectiousness and symptoms during the onset of an infection. Details like this can be vital for interpreting epidemiological data.

Keywords: Epidemics; Superinfection; Coinfection; Time-since-infection model; Kermack–McKendrick model; Partial differential equations (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:144:y:2022:i:c:p:1-12

DOI: 10.1016/j.tpb.2022.01.001

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