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Martorano Raimundo, Silvia; Yang, Hyun Mo; Engel, Alejandro B.

Modelling the effects of temporary immune protection and vaccination against infectious diseases. (English) Zbl 1117.92038

Appl. Math. Comput. 189, No. 2, 1723-1736 (2007).
Summary: We develop a mathematical model to describe the dynamics of reinfection under the assumption that immune protection may wane over time. As a disease control strategy a schedule of primary and secondary (booster) vaccination is studied, with vaccine induced immunity declining over time. A distinction is made between infection in immunological naive individuals (primary infection) and infection in individuals whose immune system has been primed by vaccination or infection (reinfection). Using the model, we analyze the association between prevalence of infection and immunity, induced either by infection or by vaccine. The model shows that eradication depends on vaccination coverage as well as on vaccine efficacy.

Cited in 7 Documents

MSC:

92C60 Medical epidemiology
93C95 Application models in control theory
93C15 Control/observation systems governed by ordinary differential equations

Keywords:

Epidemic model; vaccination; booster; vaccination coverage; immunological memory
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Full Text: DOI

References:

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