In order to model the diurnal variation of certain cell populations we study general one-type branching processes whose individuals reproduce in a manner that is influenced by time in a periodic fashion. A Malthusian growth rate is established as well as a periodically varying asymptotic composition, over ages e.g.
@article{1176993079,
author = {Jagers, Peter and Nerman, Olle},
title = {Branching Processes in Periodically Varying Environment},
journal = {Ann. Probab.},
volume = {13},
number = {4},
year = {1985},
pages = { 254-268},
language = {en},
url = {http://dml.mathdoc.fr/item/1176993079}
}
Jagers, Peter; Nerman, Olle. Branching Processes in Periodically Varying Environment. Ann. Probab., Tome 13 (1985) no. 4, pp. 254-268. http://gdmltest.u-ga.fr/item/1176993079/