Bacaër Nicolas
IRD (Institut de Recherche pour le Développement), UMMISCO, Bondy, France.
Université Pierre et Marie Curie, UMMISCO, Campus des Cordeliers, Paris, France.
J Math Biol. 2016 Oct;73(4):847-66. doi: 10.1007/s00285-016-0974-8. Epub 2016 Feb 20.
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.
随机环境中的随机SIS传染病模型。在一个作为两态连续时间马尔可夫链的随机环境中,如果两个状态都是有利的,那么在超临界情况下,随机SIS传染病模型的平均灭绝时间相对于种群规模呈指数增长;如果一个状态有利而另一个状态不利,则呈幂律增长。