Geodesic
A Limit Theorem for Generalized Random Branching Processes Depending on the Size of the Population
Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 1, pp. 71-83

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A generalized branching processes is considered for which the probabilities of division of particles depend on their number at the time of division. A limit theorem is proved describing the asymptotic behaviour of the first exit time of the population size out of given bounds as both the initial number of particles and the bounds increase. 
@article{TVP_1972_17_1_a5,
     author = {V. A. Labkovskii},
     title = {A {Limit} {Theorem} for {Generalized} {Random} {Branching} {Processes} {Depending} on the {Size} of the {Population}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1972_17_1_a5/}
}
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V. A. Labkovskii. A Limit Theorem for Generalized Random Branching Processes Depending on the Size of the Population. Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 1, pp. 71-83. http://geodesic.mathdoc.fr/item/TVP_1972_17_1_a5/