title: Le modèle stochastique SIS pour une épidémie dans un environnement aléatoire.
abstract: The stochastic SIS epidemic model in a random environment. In a random environment that is a two-state continuous-time Markov chain, the mean time to extinction of the stochastic SIS epidemic model grows in the supercritical case exponentially with respect to the population size if the two states are favorable, and like a power law if one state is favorable while the other is unfavorable.
authors.affiliation: IRD (Institut de Recherche pour le Développement), UMMISCO, Bondy, France. nicolas.bacaer@ird.fr.|Université Pierre et Marie Curie, UMMISCO, Campus des Cordeliers, Paris, France. nicolas.bacaer@ird.fr.
authors.forename: Nicolas
authors.initials: N
authors.lastname: Bacaër
mesh_terms: D004777:Environment; D058872:Epidemics / Q000706:statistics & numerical data*; D006801:Humans; D008390:Markov Chains; D008954:Models, Biological; D011156:Population Density; D013269:Stochastic Processes
keywords: Epidemic model; Extinction; Random environment