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Hysteresis in a Model for Parasitic Infection

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Numerical Methods for Bifurcation Problems

Abstract

In the classical epidemic model of Kermack and McKendrick 1927 and also in its various extensions only the prevalence of the disease in the host population is considered. The latter is subdivided into several classes such as susceptibles S, infectious I, and recovered R. The transition S → I → R → S is modeled by ordinary differential equations

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References

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© 1984 Springer Basel AG

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Hadeler, K.P. (1984). Hysteresis in a Model for Parasitic Infection. In: Küpper, T., Mittelmann, H.D., Weber, H. (eds) Numerical Methods for Bifurcation Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 70. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6256-1_12

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  • DOI: https://doi.org/10.1007/978-3-0348-6256-1_12

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-6257-8

  • Online ISBN: 978-3-0348-6256-1

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