**6. Conclusions**

The concept of a non-homogeneous Markov system in a stochastic environment and in continuous time was introduced. It was found under which conditions, using basic parameters, the limiting population structure and the relating relative population structure exist, and they were evaluated in elegant closed analytic forms. The set of all possible relative population structures was characterized under all possible input probability vectors. Finally, an illustrative example from manpower planning was presented, which could be used as a guide for applications in other areas.

**Funding:** This research received no external funding.

**Institutional Review Board Statement:** Not applicable.

**Informed Consent Statement:** Not applicable.

**Data Availability Statement:** Not applicable. **Conflicts of Interest:** The author declares no conflict of interest.
