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On the generalization of stable age distributions to Gani-type person-flow models

Published online by Cambridge University Press:  01 July 2016

Gustav Feichtinger
Gustav Feichtinger*
Affiliation:
University of Technology, Vienna
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Abstract

The concept of a stable population, which is of basic importance in demography, is generalized to person-flow models as defined by Gani. Stability and asymptotic stability of manpower systems are investigated in terms of the input process and the transition structure. Extending Bartholomew ((1973), Chapter 3) we obtain a result on the limiting behaviour of Gani-type models with asymptotic exponential input processes. The linear population-dynamic model of Leslie (1945) may be considered as a further case.

Keywords

STABLE POPULATIONSPERSON-FLOW MODELSLINEAR LESLIE MODEL IN POPULATION DYNAMICSRECRUITMENT TRANSITION AND DROP-OUT IN HIERARCHICAL SYSTEMSNON-NEGATIVE MATRICESSTRONG AND WEAK ERGODICITY IN STOCK/FLOW MODELSDEMOGRAPHYMANPOWER PLANNING
Type
Research Article
Information
Advances in Applied Probability , Volume 8 , Issue 3 , September 1976 , pp. 433 - 445
Copyright
Copyright © Applied Probability Trust 1976 

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References

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