Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
. 1977 Feb 28;4(1):69-80.
doi: 10.1007/BF00276353.

On periodic solutions of a delay integral equation modelling epidemics

H L Smith

On periodic solutions of a delay integral equation modelling epidemics

H L Smith. 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.

PubMed Disclaimer

References

    1. Am J Epidemiol. 1973 Dec;98(6):453-68 - PubMed
    1. Am J Epidemiol. 1973 Dec;98(6):469-82 - PubMed
    1. Bull Math Biol. 1973 Nov-Dec;35(5):607-14 - PubMed