%0 Journal Article
%9 ACL : Articles dans des revues avec comité de lecture répertoriées par l'AERES
%A Bacaër, Nicolas
%A Ed-Darraz, A.
%T On linear birth-and-death processes in a random environment
%D 2014
%L fdi:010062258
%G ENG
%J Journal of Mathematical Biology
%@ 0303-6812
%K Random environment ; Birth-and-death process ; Extinction probability ; Basic reproduction number
%M ISI:000337044900004
%N 1
%P 73-90
%R 10.1007/s00285-013-0696-0
%U https://www.documentation.ird.fr/hor/fdi:010062258
%> https://www.documentation.ird.fr/intranet/publi/2014/07/010062258.pdf
%V 69
%W Horizon (IRD)
%X We study the probability of extinction for single-type and multi-type continuous-time linear birth-and-death processes in a finite Markovian environment. The probability of extinction is equal to 1 almost surely if and only if the basic reproduction number is , the key point being to identify a suitable definition of for such a result to hold.
%$ 020