Abstract

Let X(t), N(t) respectively denote the number of cells alive at t and the total number of cells born by t in a critical age-dependent Bellman-Harris branching process. The asymptotic behavior of the conditional moments, for 0 < α ≦ 1, E(Nn (αt) | X(t) > 0), E(Nn (t) |X(αt) > 0), is obtained.

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