Abstract
It is convenient to visualize the outbreak of a localized smallpox epidemic as taking place in three stages. In the first stage the region to be considered is disease-free, and the population is maintained at a predetermined level of susceptibility by an ongoing vaccination program. Typically this stage lasts for several years. In Section 5 (the Pre-Epidemic Model) we will develop an expression for the expected number E{m} of deaths caused by smallpox vaccinations prior to the disease importation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1981 Education Development Center, Inc.
About this chapter
Cite this chapter
Frauenthal, J.C. (1981). The Mathematical Model Introduction. In: Smallpox: When Should Routine Vaccination Be Discontinued?. The UMAP Expository Monograph Series. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-6719-2_3
Download citation
DOI: https://doi.org/10.1007/978-1-4684-6719-2_3
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3042-3
Online ISBN: 978-1-4684-6719-2
eBook Packages: Springer Book Archive