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The final size distribution of epidemics spread by infectives behaving independently

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Stochastic Processes in Epidemic Theory

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 86))

Abstract

This paper provides a unified approach to the distribution of the final size for a general epidemic model of the S-I-R (susceptive → infected → removed) type. The main hypothesis of the model is that the infectives behave independently during their infectious period. This assumption, which is crucial from a mathematical point of view, is shared by a number of epidemic models proposed in the literature.

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© 1990 Springer-Verlag Berlin Heidelberg

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Lefèvre, C., Picard, P. (1990). The final size distribution of epidemics spread by infectives behaving independently. In: Gabriel, JP., Lefèvre, C., Picard, P. (eds) Stochastic Processes in Epidemic Theory. Lecture Notes in Biomathematics, vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10067-7_15

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  • DOI: https://doi.org/10.1007/978-3-662-10067-7_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52571-4

  • Online ISBN: 978-3-662-10067-7

  • eBook Packages: Springer Book Archive

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