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An environ analysis for nonlinear compartment models

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Abstract

Environ analysis, an input-output analysis for models of ecological systems, has been previously formulated for linear systems. This note has a twofold purpose: first, we indicate that a variation of parameters technique can be applied, at least in principle, to computeboth input and output environs; and second, we show that this technique may be used for computation of environs in nonautonomous, nonlinear compartment models. This nonlinear theory, obtained as a direct extension of dynamical system developments, allows the traditional environ partitioning of compartmental storages and flows. An example of a nonlinear nutrient-producer-consumer system whose output environs can be computed asymptotically is presented to illustrate these concepts.

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Authors and Affiliations

  1. Department of Mathematics and Program of Ecology, University of Tennessee, 37996-1300, Knoxville, TN, USA

    T. G. Hallam

  2. Department of Mathematical Sciences, Memphis State University, 38152, Memphis, TN, USA

    M. N. Antonios

Authors
  1. T. G. Hallam
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  2. M. N. Antonios
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Additional information

This research was supported by the U.S. Environmental Protection Agency under cooperative agreement R806727030.

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Hallam, T.G., Antonios, M.N. An environ analysis for nonlinear compartment models. Bltn Mathcal Biology 47, 739–748 (1985). https://doi.org/10.1007/BF02469300

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  • DOI: https://doi.org/10.1007/BF02469300

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