Journal article
A discrete time stochastic growth process for human populations accommodating marriages
Mathematical biosciences, v 19(3)
1974
Abstract
A discrete time stochastic growth process for human populations accommodating marriages is introduced. In the introduction the motivations underlying the formulation of the model are discussed and the basic random functions of the process are defined in Sec. 2. The basic random functions of the model change because of deaths, marriages, the dissolutions of couples, and births, and Sects. 3, 4, 5, and 6 are devoted to stochastic processes describing these aspects of population dynamics. Finally, Sec. 7 is devoted to the derivation of a system of nonlinear renewal type equations satisfied by the mean functions of the process. The techniques used in the construction of the population process introduced in this paper are related to those used in the construction of multitype age-dependent branching processes.
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Details
- Title
- A discrete time stochastic growth process for human populations accommodating marriages
- Creators
- Charles J. Mode - Drexel University
- Publication Details
- Mathematical biosciences, v 19(3)
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Scopus ID
- 2-s2.0-0016199872
- Other Identifier
- 991019174381904721