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The Ludwig-Jones-Holling Differential Equations Model

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Man in Competition with the Spruce Budworm

Part of the book series: The UMAP Expository Monograph Series ((TUEMS))

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Abstract

We now turn to one of the simplifications of the 30,654 variable computer simulation model. Donald Ludwig, of the Mathematics Department, university of British Columbia, after hearing a non-mathematical presentation of the budworm-forest simulation research, captured the basic dynamics of the system in a system of three differential equations, using only three variables! With contributions from Dixon Jones, also a mathematician at U.B.C. and the ecologist CS. Holling, this evolved into an insightful model.

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© 1981 Springer Science+Business Media New York

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Tuchinsky, P.M. (1981). The Ludwig-Jones-Holling Differential Equations Model. In: Man in Competition with the Spruce Budworm. The UMAP Expository Monograph Series. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6780-0_2

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  • DOI: https://doi.org/10.1007/978-1-4899-6780-0_2

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3047-8

  • Online ISBN: 978-1-4899-6780-0

  • eBook Packages: Springer Book Archive

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