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XIV.—The Mathematical Theory of Random Migration and Epidemic Distribution

Published online by Cambridge University Press:  15 September 2014

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Extract

The general theory of epidemic disease I have already considered in a communication to this Society. In that communication I showed that the course of epidemics of all forms of infectious disease obeyed certain very definite laws. In the same paper it was also shown that the distribution of epidemic disease in a uniformly populated area obeyed a law essentially similar. Certain reasons were given why the normal curve of error might be expected to give an approximate solution in both the cases considered, but why the distribution actually found (type iv.) should be the common form was not at all clear. I think, however, I have now arrived at the solution.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1912

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References

page 262 note * Proc. Roy. Soc. Edin., June 1906.

page 269 note * Proc. Roy. Soc. Edin., vol. xxvi. pp. 491 and 507.

page 274 note * A table of this function is given in Jahnke, und Emde, , Funktionentafeln, p. 135.Google Scholar

page 277 note * Biometrika, vol. i. p. 155.

page 285 note * Herring catch, Ballantrae, 1903, May–August, Twenty–fifth Ann. Bep. Fish. Board Sc., p. 174