On linear birth-and-death processes in a random environment /Bacaër, Nicolas Ed-Darraz, A. Random environment Birth-and-death process Extinction probability Basic reproduction number 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. 2014 text https://www.documentation.ird.fr/hor/fdi:010062258 fdi:010062258 Bacaër Nicolas, Ed-Darraz A.. On linear birth-and-death processes in a random environment. 2014, 69 (1), 73-90 EN