Open AccessLe modèle stochastique SIS pour une épidémie dans un environnement aléatoire
Author(s) -
Nicolas Bacaër
Publication year - 2016
Publication title -
journal of mathematical biology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.928
H-Index - 97
eISSN - 1432-1416
pISSN - 0303-6812
DOI - 10.1007/s00285-016-0974-8
Subject(s) - mathematics , markov chain , population , statistical physics , statistics , physics , demography , sociology
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.
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