Abstract:
:A class of models is considered in which the number of unknown parameters exceeds the number of independent equations that are derived from the input/observation configuration. It is shown that, under certain circumstances, if the number of unknown parameters is sufficiently decreased by setting some of the exit parameters to zero, then the fallaciously derived model has the following interesting properties. The functions of time that give the amounts in the compartments are constant multiples of their counterparts in the fallacious model. A subset of the fallacious fractional transfer coefficients have the same values as their counterparts in the true model whereas others yield interval bounds. These and related results are obtained from a method based on positive linear Lyapunov functions.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Eisenfeld Jdoi
10.1016/0025-5564(95)00049-6subject
Has Abstractpub_date
1996-03-01 00:00:00pages
111-40issue
2eissn
0025-5564issn
1879-3134pii
0025556495000496journal_volume
132pub_type
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