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Some Consequences of Stochasticizing an Ecological System Model

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Mathematical Problems in Biology

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 2))

Abstract

Differential equations have been used for several decades to analyze the behavior of aquatic ecological systems (Patten 1968). In general, deterministic formulations serve as the basis for simulation models, although Fox (1971) has constructed a stochastic variant of the generalized fish production model and used simulation output for parameter estimation. Inclusion of random elements seems to stem from the realization that natural systems usually exhibit more variability than their mathematical counterparts.

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References

  • Bartlett, M. S. Stochastic Population Models in Ecology and Epidemiology. Methuen, London (1960)

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  • Fox, W. W. Fish. Bull. 69(3), 569–580 (1971)

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  • Parker, R. A. Mathematical Theory of the Dynamics of Biological Populations. M. S. Bartlett and R. W. Hiorns (ed.) Academic Press, London (1973)

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  • Patten, B. C. Int. Rev. Ges. Hydrobiol. 53(3), 357–408 (1968)

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© 1974 Springer-Verlag Berlin · Heidelberg

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Parker, R.A. (1974). Some Consequences of Stochasticizing an Ecological System Model. In: van den Driessche, P. (eds) Mathematical Problems in Biology. Lecture Notes in Biomathematics, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45455-4_26

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  • DOI: https://doi.org/10.1007/978-3-642-45455-4_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06847-1

  • Online ISBN: 978-3-642-45455-4

  • eBook Packages: Springer Book Archive

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