Literature DB >> 26897353

Le modèle stochastique SIS pour une épidémie dans un environnement aléatoire.

Nicolas Bacaër1,2.   

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.

Entities:  

Keywords:  Epidemic model; Extinction; Random environment

Mesh:

Year:  2016        PMID: 26897353     DOI: 10.1007/s00285-016-0974-8

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  7 in total

1.  Birth and death processes with random environments in continuous time.

Authors:  R Cogburn; W C Torrez
Journal:  J Appl Probab       Date:  1981       Impact factor: 1.042

2.  How colored environmental noise affects population extinction.

Authors:  Alex Kamenev; Baruch Meerson; Boris Shklovskii
Journal:  Phys Rev Lett       Date:  2008-12-31       Impact factor: 9.161

3.  On linear birth-and-death processes in a random environment.

Authors:  Nicolas Bacaër; Abdelkarim Ed-Darraz
Journal:  J Math Biol       Date:  2013-06-01       Impact factor: 2.259

4.  Stochastic epidemic models with random environment: quasi-stationarity, extinction and final size.

Authors:  J R Artalejo; A Economou; M J Lopez-Herrero
Journal:  J Math Biol       Date:  2012-08-15       Impact factor: 2.259

5.  On the stochastic SIS epidemic model in a periodic environment.

Authors:  Nicolas Bacaër
Journal:  J Math Biol       Date:  2014-09-10       Impact factor: 2.259

6.  The average lifetime of a population in a varying environment.

Authors:  E G Leigh
Journal:  J Theor Biol       Date:  1981-05-21       Impact factor: 2.691

7.  Noise-driven unlimited population growth.

Authors:  Baruch Meerson; Pavel V Sasorov
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2008-12-08
  7 in total
  1 in total

1.  Sur les processus linéaires de naissance et de mort sous-critiques dans un environnement aléatoire.

Authors:  Nicolas Bacaër
Journal:  J Math Biol       Date:  2016-11-16       Impact factor: 2.259

  1 in total

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