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J Math Biol. 1990;28(4):411-34.

Threshold and stability results for an age-structured epidemic model.

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  • 1Institute of Theoretical Biology, University of Leiden, The Netherlands.


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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