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Part of the book series: Biomathematics ((BIOMATHEMATICS,volume 13))

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Abstract

As previously mentioned, the discrete time recurrence model in the study of population is credited to Euler, and has received sporadic and incomplete attention since his time. Indeed, the only development of this topic known to the author is an unpublished work by Meyer [1]. It is, therefore, in the best interest of the field of mathematical demography that this topic receive further exposure.

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Notes for Chapter Three

  1. Meyer, W. (1978), Notes on mathematical demography: Stable population theory. Unpublished, available from author.

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  2. Hildebrand, F.B. (1968), Finite-difference equations and simulations, p. Iff.

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  3. Miller, K.S. (1960), An introduction to the calculus of finite differences and difference equations, p. 127ff.

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  4. Sherbert, D.R. (1979), Difference equations with applications. Applications of Difference Equations to Economics and Social Sciences, UMAP. p. 2.

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  5. Goldberg, S. (1958), Introduction to difference equations, p. 61.

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  6. Miller, K.S. (1968), Linear difference equations, pp. 3–4.

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  7. Miller (1960), op. cit., pp. 135–137.

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  8. Goldberg (1958), op. cit., p. 153ff.

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  9. Hall, H.S. and Knight, S.R. (1957 (1887)), Higher algebra, p. 459.

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  10. Meyer, W. (1982) Asymptotic birth trajectories in the dicrete form of stable population theory. Theoretical Population Biology, vol.21, no. 2, pp. 167–170.

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© 1985 Springer-Verlag Berlin Heidelberg

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Impagliazzo, J. (1985). The Discrete Time Recurrence Model. In: Deterministic Aspects of Mathematical Demography. Biomathematics, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82319-0_3

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  • DOI: https://doi.org/10.1007/978-3-642-82319-0_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82321-3

  • Online ISBN: 978-3-642-82319-0

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