Journal article
An age-parity dependent stochastic model of human reproduction
Mathematical biosciences, v 25(1)
1975
Abstract
A terminating age-parity dependent model of human reproduction is formulated and studied with a view toward the development of more realistic quantitative methods in family planning evaluation. The results reported in this paper, which extend those reported previously by Mode (1972, 1974), are divided into seven sections detailing the construction of the components of the model and computer algorithms. Four novel features of the paper are (i) the construction of a terminating Markovian renewal process, (ii) the incorporation of turning points into the reproductive process, (iii) the incorporation of risks of becoming sterile into the distributions of the waiting times to conception, and (iv) the development of an algorithm for computing the sum of an infinite geometric series in Markovian convolutions exactly in finitely many steps.
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16 citations in Scopus
Details
- Title
- An age-parity dependent stochastic model of human reproduction
- Creators
- Charles J. Mode - Drexel UniversityGary S. Littman - Drexel University
- Publication Details
- Mathematical biosciences, v 25(1)
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Scopus ID
- 2-s2.0-0016826171
- Other Identifier
- 991019173767504721