Abstract

In the present we introduce and define the non-homogeneous semi-Markov system in continuous time. We study the problem of finding the expected population structure in closed analytic form, in relation with the basic sequences of the system. Moreover, the problem of the asymptotic behavior of the system is studied under certain conditions. We first study the limiting behavior of the imbedded non-homogeneous semi-Markov chain and then we provide the asymptotic population structure in closed analytic form.

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