An application of a martingale central limit theorem to the standard epidemic model

Ray Watson

Stochastic Processes and their Applications, 1981, vol. 11, issue 1, 79-89

Abstract: In this paper, useful limit results for the standard epidemic model are proved using a martingale central limit theorem given by McLeish [2]. These results do not depend on the solutions of the deterministic equations, and also cover the case of a small initial number of infectives. Further, the results find immediate application in approximating the size distribution and in estimating the threshold parameter.

Keywords: Martingale; central; limit; theorem; epidemic; process; estimation; size; distribution (search for similar items in EconPapers)
Date: 1981
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