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Local Stability in Epidemic Models for Heterogeneous Populations

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Book cover Mathematics in Biology and Medicine

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 57))

Abstract

The dynamics of many infectious diseases cannot be properly described by a mathematical model, if it does not take the structure of the host population into account. Typical examples are venereal diseases, where the population has to be divided into several subgroups according to sex, symptomatic and asymptomatic infection etc., and diseases also involving intermediate hosts.

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References

  1. Hethcote, H.W.; Stech, H.W; van den Driessche, P.: Periodicity and stability in epidemic models: a survey. Differential Equations and Applications in Ecology, Epidemics and Population Dynamics (S.N. Busenberg, K.L. Cooke, eds.). New York — London — Toronto — Sydney — San Francisco: Academic Press 1981, 65–82

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Author information

Authors and Affiliations

  1. Universität Heidelberg, SFB 123, D-6900, Heidelberg, BR Deutschland

    Horst R. Thieme

Authors
  1. Horst R. Thieme
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Editor information

Editors and Affiliations

  1. Dipartimento di Matematica, Università di Bari, Palazzo Ateneo, 70121, Bari, Italy

    V. Capasso

  2. Istituto di Igiene, Università di Bari, Policlinico, 70100, Bari, Italy

    E. Grosso

  3. Istituto Universitario Navale, Via Acton 38, 80133, Napoli, Italy

    S. L. Paveri-Fontana

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© 1985 Springer-Verlag Berlin Heidelberg

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Thieme, H.R. (1985). Local Stability in Epidemic Models for Heterogeneous Populations. In: Capasso, V., Grosso, E., Paveri-Fontana, S.L. (eds) Mathematics in Biology and Medicine. Lecture Notes in Biomathematics, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93287-8_26

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  • DOI: https://doi.org/10.1007/978-3-642-93287-8_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15200-2

  • Online ISBN: 978-3-642-93287-8

  • eBook Packages: Springer Book Archive

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