@article{fdi:010062258, title = {{O}n linear birth-and-death processes in a random environment}, author = {{B}aca{\¨e}r, {N}icolas and {E}d-{D}arraz, {A}.}, editor = {}, language = {{ENG}}, abstract = {{W}e study the probability of extinction for single-type and multi-type continuous-time linear birth-and-death processes in a finite {M}arkovian environment. {T}he 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.}, keywords = {{R}andom environment ; {B}irth-and-death process ; {E}xtinction probability ; {B}asic reproduction number}, booktitle = {}, journal = {{J}ournal of {M}athematical {B}iology}, volume = {69}, numero = {1}, pages = {73--90}, ISSN = {0303-6812}, year = {2014}, DOI = {10.1007/s00285-013-0696-0}, URL = {https://www.documentation.ird.fr/hor/fdi:010062258}, }