%0 Book Section %T Large deviations for infectious diseases models %+ Institut de Mathématiques de Marseille (I2M) %A Kratz, Peter %A Pardoux, Etienne %Z 82 pages, 1 figure %@ 0075-8434 %B SEMINAIRE DE PROBABILITES XLIX %E C. Donati-Martin %E A. Lejay %E A. Rouault %I Springer %C Cham, Switzerland %S Lecture Notes in Mathematics %V 2215 %P 221 - 327 %8 2018 %D 2018 %Z 1602.02803 %Z Mathematics [math] %Z Mathematics [math]/Probability [math.PR]Book sections %X We establish large deviation estimates for Poisson driven models of infectious disease, and apply those estimates to the time of exit from the basin of attraction of an endemic equilibrium. We apply our results to the classical SIRS model. %G English %L hal-01272004 %U https://hal.science/hal-01272004 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE %~ I2M %~ I2M-2014-