The influence of noise on a class of discrete time systems arising from models of density-dependent branching processes is investigated. By considering iterates of the basic map, the time to escape from a stable orbit is investigated as a (nonstandard) problem of exit from a domain.
"The Exit Problem for a Class of Density-Dependent Branching Systems." Ann. Appl. Probab. 4 (4) 1188 - 1205, November, 1994. https://doi.org/10.1214/aoap/1177004911