Abstract
The basic problem discussed in these lectures is to describe the spread of an infection within a population. As a canonical example one thinks of a small group of individuals who have a communicable infection being inserted into a large population of individuals capable of “catching” the disease. Then an attempt is made to describe the spread of the infection in the larger group To do this, certain assumptions are required to describe the characteristics of the disease and the mixing of the population. From these assumptions a mathematical model is formulated. The model is analyzed, and the results of the analysis (hopefully) interpreted in epidemiological terms and thereby insight is gained into the nature of the phenomenon.
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
Preview
Unable to display preview. Download preview PDF.
References
K. Dietz, Epidemics and Rumors: A Survey, J. Roy Statist. Soc. Ser. A 130(1967), 505–528.
E. D. Wilson and J. Worcester, The Law of Mass Action in Epidemiology I & II, Proc. Nat. Acad Sci. 31(1945), 24–34.
E. D. Wilson and J. Worcester, The Law of Mass Action in Epidemiology I & II, Proc. Nat. Acad Sci. 31(1945), 109–116.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1974 Springer-Verlag Berlin · Heidelberg
About this chapter
Cite this chapter
Waltman, P. (1974). A Simple Epidemic Model with Permanent Removal. In: Deterministic Threshold Models in the Theory of Epidemics. Lecture Notes in Biomathematics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80820-3_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-80820-3_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06652-1
Online ISBN: 978-3-642-80820-3
eBook Packages: Springer Book Archive