On the formulation of epidemic models (an appraisal of Kermack and McKendrick)

The aim of this paper is to show that a large class of epidemic models, with both demography and non-permanent immunity incorporated in a rather general manner, can be mathematically formulated as a scalar renewal equation for the force of infection.

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Bibliographic Details
Published in:Journal of biological dynamics 2012-09, Vol.6 (sup2), p.103-117
Main Authors: Breda, D., Diekmann, O., de Graaf, W. F., Pugliese, A., Vermiglio, R.
Format: Article
Language:English
Subjects:
demographic turnover
Endemic Diseases
endemic state
Epidemics
force of infection
Humans
Immunity
infectious disease epidemiology
Models, Biological
Population Dynamics
renewal equation
waning immunity
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Description
Summary:The aim of this paper is to show that a large class of epidemic models, with both demography and non-permanent immunity incorporated in a rather general manner, can be mathematically formulated as a scalar renewal equation for the force of infection.
ISSN:1751-3758
1751-3766
DOI:10.1080/17513758.2012.716454