Deterministic models for the eradication of poliomyelitis: vaccination with the inactivated (IPV) and attenuated (OPV) polio virus vaccine

Martin Eichner , Karl Peter Hadeler , 1995
Mathematical Biosciences 127: 149-166

Institute for Medical Biometry, University of Tübingen, Germany
Institute of Biomathematics, University of Tübingen, Germany

Abstract

Currently two polio vaccines, IPV and OPV, are in use which differ markedly in their epidemiological parameters. A simple epidemiological model in terms of ordinary differential equations is proposed to study the effects of vaccination campaigns using these vaccines. The numbers of interest are the reproduction number of the disease in the presence of vaccination and the critical vaccination coverage necessary to prevent an outbreak. For these numbers explicit representations are determined which can be used in comparing different vaccination strategies.

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