Geodesic
On an Age-Dependent Branching Process
Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 1, pp. 146-152

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Let us consider the age-dependent branching process introduced by Bellman and Harris [1]. Let $Z(t)$ be the number of particles existing at $t$. In this paper certain conditions are given under which the asymptotic behavior of $A(t)[A(t)=M\{{Z(t)}\}]$ coincides with that of a usual branching process. Moreover, the asymptotic behavior of $p_0(t)$, $t\to\infty$, is given for certain processes. 
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     author = {O. P. Vinogradov},
     title = {On an {Age-Dependent} {Branching} {Process}},
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O. P. Vinogradov. On an Age-Dependent Branching Process. Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 1, pp. 146-152. http://geodesic.mathdoc.fr/item/TVP_1964_9_1_a16/