Branching processes with dependence but homogeneous growth
Jagers, Peter
Ann. Appl. Probab., Tome 9 (1999) no. 1, p. 1160-1174 / Harvested from Project Euclid
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A (general) branching process, where individuals need not reproduce independently, satisfies a homogeneous growth condition if, vaguely, one would not expect the progeny from any one individual to make out more than its proper fraction of the whole population at any time in the future. This notion is made precise, and it is shown how it entails classical Malthusian growth in supercritical cases, in particular for population size-dependent Bienaymé-Galton-Watson and Markov branching processes, and for nondecreasing age-dependent processes with continuous life span distributions.
Publié le : 1999-11-14
Classification:  Branching processes,  population dynamics,  cell kinetics,  population size dependence,  60J80,  60F25,  92A15 
@article{1029962868,
     author = {Jagers, Peter},
     title = {Branching processes with dependence but homogeneous growth},
     journal = {Ann. Appl. Probab.},
     volume = {9},
     number = {1},
     year = {1999},
     pages = { 1160-1174},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1029962868}
}

Jagers, Peter. Branching processes with dependence but homogeneous growth. Ann. Appl. Probab., Tome 9 (1999) no. 1, pp.  1160-1174. http://gdmltest.u-ga.fr/item/1029962868/