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On periodic solutions of a delay integral equation modelling epidemics

✍ Scribed by H. L. Smith

Publisher
Springer
Year
1977
Tongue
English
Weight
654 KB
Volume
4
Category
Article
ISSN
0303-6812

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✦ Synopsis

A delay-integral equation, proposed by Cooke and Kaplan in [1] as a model of epidemics, is studied. The focus of this work is on the qualitative behavor of solutions as a certain parameter is allowed to vary. It is shown that if a certain threshold is not exceeded then solutions tend to zero exponentially while if this threshold is exceeded, periodic solutions exist. Many features or the numerical studies in [1] are explained.

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