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The rate of convergence to early asymptotic behaviour in age-structured epidemic models

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  • Rhodes, Christopher A.
  • House, Thomas

Abstract

Age structure is incorporated in many types of epidemic models. Often it is convenient to assume that such models converge to early asymptotic behaviour quickly, before the susceptible population has been appreciably depleted. We make use of dynamical systems theory to show that for some reasonable parameter values, this convergence can be slow. Such a possibility should therefore be considered when parametrising age-structured epidemic models.

Suggested Citation

  • Rhodes, Christopher A. & House, Thomas, 2013. "The rate of convergence to early asymptotic behaviour in age-structured epidemic models," Theoretical Population Biology, Elsevier, vol. 85(C), pages 58-62.
    • Handle: RePEc:eee:thpobi:v:85:y:2013:i:c:p:58-62
    DOI: 10.1016/j.tpb.2013.02.003
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    References listed on IDEAS

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    1. Carol Y. Lin, 2008. "Modeling Infectious Diseases in Humans and Animals by KEELING, M. J. and ROHANI, P," Biometrics, The International Biometric Society, vol. 64(3), pages 993-993, September.
    2. Joël Mossong & Niel Hens & Mark Jit & Philippe Beutels & Kari Auranen & Rafael Mikolajczyk & Marco Massari & Stefania Salmaso & Gianpaolo Scalia Tomba & Jacco Wallinga & Janneke Heijne & Malgorzata Sa, 2008. "Social Contacts and Mixing Patterns Relevant to the Spread of Infectious Diseases," PLOS Medicine, Public Library of Science, vol. 5(3), pages 1-1, March.
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    Cited by:

    1. Zhuoqian Chen & Houbao Xu & Huixia Huo, 2022. "Computational Scheme for the First-Order Linear Integro-Differential Equations Based on the Shifted Legendre Spectral Collocation Method," Mathematics, MDPI, vol. 10(21), pages 1-21, November.

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    Keywords

    SIR; Dynamical system;

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