Two-type reducible age-dependent branching processes with non-homogeneous Poisson immigration (Q2844639)

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scientific article; zbMATH DE number 6203050
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Two-type reducible age-dependent branching processes with non-homogeneous Poisson immigration
scientific article; zbMATH DE number 6203050

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    29 August 2013
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    branching processes
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    non-homogeneous Poisson immigration
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    renewal equations
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    cell kinetics
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    Two-type reducible age-dependent branching processes with non-homogeneous Poisson immigration (English)
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    Models of renewal cell population dynamics are studied. These models are two-type reducible age-dependent branching stochastic processes with non-homogeneous Poisson immigration. A new-type renewal theorem is applied for studying the asymptotic behavior of the first moments of the process with or without immigration. The obtained results can be used for developing an asymptotic estimation theory.
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