doi: 10.1007/BF00276353.
On periodic solutions of a delay integral equation modelling epidemics
- PMID: 845513
- DOI: 10.1007/BF00276353
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On periodic solutions of a delay integral equation modelling epidemics
J Math Biol.
.
Abstract
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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