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Local Stability in Epidemic Models for Heterogeneous Populations

  • Horst R. Thieme
Part of the Lecture Notes in Biomathematics book series (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.

Keywords

Global Stability Host Population Epidemic Model Endemic Equilibrium Asymptomatic Infection 
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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References

  1. [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, 65–82Google Scholar
  2. [2]
    Hethcote, H.W.; Yorke, J.A.; Nold, A.: Gonorrhea modelling: a comparison of control methods. Math. Biosci. 58 (1982), 93–109CrossRefMATHGoogle Scholar
  3. [3]
    Lajmanovich, A; Yorke, J.A.: A deterministic model for gonorrhea in a nonhomogeneous population. Math. Biosci. 28 (1976), 221–236CrossRefMATHMathSciNetGoogle Scholar
  4. [4]
    Nold, A.: Heterogeneity in disease transmission modeling. Math. Biosci. 52 (1980), 227–240CrossRefMATHMathSciNetGoogle Scholar
  5. [5]
    Krasnosel’skii, M.A.: Positive Solutions of Operator Equations. Groningen: Noordhoff 1964Google Scholar
  6. [6]
    Thieme, H.R.: Global asymptotic stability in epidemic models. Equadiff 1982Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Horst R. Thieme
    • 1
  1. 1.Universität HeidelbergHeidelbergBR Deutschland

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