The role of nonreal eigenvalues in the identification of cycles in a compartmental system

J. Eisenfeld, W. F. Beltz, Scott M Grundy

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The paper concerns the relationship between the cycles in the graph of a compartmental system and the modes of the impulse response function associated with an input-output experiment. Suppose that there is at least one oscillatory mode, eμtcos(vt - α). Let eρ{variant}t be the slowest mode. The main result is that the system contains a cycle of length 3 or longer and that the length of the longest cycle is at least π/tan-1[|v|/(ρ{variant}-μ)]. The paper also deals with the problem of estimating the cycle length from discrete data.

Original languageEnglish (US)
Pages (from-to)41-55
Number of pages15
JournalMathematical Biosciences
Volume71
Issue number1
DOIs
StatePublished - 1984

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eigenvalue
Impulse response
Impulse Response Function
Eigenvalue
Cycle
Long Cycle
Cycle Length
Discrete Data
experiment
Experiments
Output
Graph in graph theory
Experiment
Relationships

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

The role of nonreal eigenvalues in the identification of cycles in a compartmental system. / Eisenfeld, J.; Beltz, W. F.; Grundy, Scott M.

In: Mathematical Biosciences, Vol. 71, No. 1, 1984, p. 41-55.

Research output: Contribution to journalArticle

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