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A Theory of Epidemics

  • Frank C. Hoppensteadt
  • Charles S. Peskin
Part of the Texts in Applied Mathematics book series (TAM, volume 10)

Abstract

The spread of a contagious disease involves interactions of two populations: the susceptibles and the infectives. In some diseases these two populations are from different species. For example, malaria is not passed directly between animals but by the anopheline mosquitoes, and schistosomiasis is passed from animal to animal only through contact with water in which live snails that can incubate the disease-causing helminths. In other diseases, the infection can be passed directly from infectives to susceptibles: Viral diseases like chickenpox, measles, and influenza, and bacterial diseases like tuberculosis can pass through a population much like a flame through fuel. In this chapter, we consider diseases that propagate by direct contact.

Keywords

Sampling Interval Sample Path Final Size Markov Chain Model Susceptible Population 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Frank C. Hoppensteadt
    • 1
  • Charles S. Peskin
    • 2
  1. 1.College of Natural ScienceMichigan State UniversityEast LansingUSA
  2. 2.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

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