Bacaër Nicolas, Ed-Darraz A. (2014). On linear birth-and-death processes in a random environment. Journal of Mathematical Biology, 69 (1), p. 73-90. ISSN 0303-6812.
Titre du document
On linear birth-and-death processes in a random environment
Journal of Mathematical Biology, 2014,
69 (1), p. 73-90 ISSN 0303-6812
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.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
