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Threshold and stability results for an age-structured epidemic model

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Abstract

We study a mathematical model for an epidemic spreading in an age-structured population with age-dependent transmission coefficient. We formulate the model as an abstract Cauchy problem on a Banach space and show the existence and uniqueness of solutions. Next we derive some conditions which guarantee the existence and uniqueness for non-trivial steady states of the model. Finally the local and global stability for the steady states are examined.

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Authors and Affiliations

  1. Institute of Theoretical Biology, University of Leiden, P.O. Box 9516, 2300 RA, Leiden, The Netherlands

    H. Inaba

  2. Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB, Amsterdam, The Netherlands

    H. Inaba

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  1. H. Inaba
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Inaba, H. Threshold and stability results for an age-structured epidemic model. J. Math. Biol. 28, 411–434 (1990). https://doi.org/10.1007/BF00178326

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  • DOI: https://doi.org/10.1007/BF00178326

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