Large deviation principle for epidemic models
Copyright policy )Large deviation principle for epidemic models
Abstract We consider a general class of epidemic models obtained by applying the random time changes of Ethier and Kurtz (2005) to a collection of Poisson processes and we show the large deviation principle for such models. We generalise the approach followed by Dolgoarshinnykh (2009) in the case of the SIR epidemic model. Thanks to an additional assumption which is satisfied in many examples, we simplify the recent work of Kratz and Pardoux (2017).
Medical epidemiology, [MATH.MATH-PR] Mathematics [math]/Probability [math.PR], Large deviations, law of large numbers, large deviation principle, Poisson process, [MATH] Mathematics [math], Jump processes, Stochastic ordinary differential equations (aspects of stochastic analysis)
Medical epidemiology, [MATH.MATH-PR] Mathematics [math]/Probability [math.PR], Large deviations, law of large numbers, large deviation principle, Poisson process, [MATH] Mathematics [math], Jump processes, Stochastic ordinary differential equations (aspects of stochastic analysis)
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