Two-Type Reducible Age-Dependent Branching Processes With Non-Homogeneous Poisson Immigration.

Two type reducible age-dependent branching stochastic processes with non-homogeneous Poisson immigration are considered as models of renewal cell population dynamics. The asymptotic behaviour of the first moments of the process with or without immigration is investigated. Several classes of asymptotic behavior are identified for the population dynamics. Our results are also useful for developing associated methods of statistical inference.