Abstract
In a series of recently published papers E. B. Wilson and his collaborators have investigated some of the mathematical questions connected with epidemics. A differential difference equation was set up and various properties of its solution were obtained. This equation implies that the epidemic has an equilibrium state, and it is the purpose of this note to show that this equilbrium is stable in the sense that any small deviation from it will tend to zero.
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Literature
Goursat, E. 1927.Cours d'Analyse Mathematique. Vol. 3. Paris: Gauthier-Villars.
Wilson, E. B. and J. Worcester. 1944.Proc. Nat. Acad. Sciences,30, 37–44.
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Wilkins, J.E. The differential difference equation for epidemics. Bulletin of Mathematical Biophysics 7, 149–150 (1945). https://doi.org/10.1007/BF02478315
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DOI: https://doi.org/10.1007/BF02478315