Systems of Differential Equations

  • Douglas J. Crawford-Brown


Chapters 1 and 2 presented a view of the environment as a series of fields distributed across space and evolving in time. While fields provide the ultimate description of the state of the environment, there are times when models can be simplified significantly by ignoring the spatial inhomogeneity of fields throughout a region of space. This simplification is completely valid when the field is homogeneous throughout that region, but it also may be at least partially valid if the effect ultimately of interest (e.g. human health) depends on some average property of the field, such as the mean, rather than on the variability in space.


Differential Equation State Vector Environmental System Environmental Risk Assessment Outflow Rate 
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  1. 1.
    D. Crawford-Brown, Theoretical and Mathematical Foundations of Human Health Risk Analysis, Kluwer Academic Publishers, Boston, 1997.CrossRefGoogle Scholar
  2. 2.
    R. Smith and T. Smith, Elements of Ecology, Benjamin Cummings, Menlo Parie, CA, 1998.Google Scholar
  3. 3.
    D. Crawford-Brown, Risk-Based Environmental Decisions: Methods and Culture, Kluwer Academic Publishers, Boston, 2000.Google Scholar
  4. 4.
    L. Kells, Elementary Differential Equations, McGraw-Hill Book Company, Inc., New York, 1960.Google Scholar
  5. 5.
    M. Allaby, Basics of Environmental Science, Routledge, London, 1996.Google Scholar
  6. 6.
    I. Gradshteyn and I. Ryzhik, Table of Integrals, Series and Products, Academic Press, Orlando, FL, 1970.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Douglas J. Crawford-Brown
    • 1
  1. 1.University of North CarolinaChapel HillUSA

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