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On an application of the diffusion approximation of the generalized birth and death process for stochastic population projection. (English) Zbl 0645.92018

Assuming that both birth and death rates are density and time dependent, a diffusion approximation of the generalized birth and death process has been considered in this paper to obtain a suitable stochastic population model describing the population size and its moments. A simple method of estimating the parameters of the model is discussed. The predictions of the expected size of the population, and the variance are made and compared with the corresponding census figures as well as with another deterministic projection series made for the corresponding period.

MSC:

92D25 Population dynamics (general)
60J85 Applications of branching processes
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References:

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[2] Biswas S., Journal of Management Science and Applied Cybernatics 15 pp 90– (1986)
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[5] DOI: 10.1093/biomet/33.3.183 · Zbl 0060.31803 · doi:10.1093/biomet/33.3.183
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[7] Nisbet R.M., Modelling fluctuating Populations (1982) · Zbl 0593.92013
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[9] Census of India (1981)
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