An environ analysis for nonlinear compartment models |
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Authors: | T G Hallam M N Antonios |
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Institution: | (1) Department of Mathematics and Program of Ecology, University of Tennessee, 37996-1300 Knoxville, TN, USA;(2) Department of Mathematical Sciences, Memphis State University, 38152 Memphis, TN, USA |
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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.
This research was supported by the U.S. Environmental Protection Agency under cooperative agreement R806727030. |
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