Complexity of compartmental models
type: Item
instance of: scholarly article
title: Complexity of compartmental models
zbMATH Open document ID: 0578.92002
DOI: 10.1016/0025-5564(84)90095-6
published in: Mathematical Biosciences
publication date: 1984-01-01T00:00:00Z
review text: The paper is concerned with the stability and complexity of a compartmental system. Several complexity indices are introduced and shown to be related to the eigenvalues of the system matrix. It is shown that for a closed compartmental system, the Shannon index is equal to -Tr(A), where ''Tr'' denotes the trace of a matrix A. Moreover, the complexity index is shown to be equal to \(-(\beta +1)Tr(A)\) for \(\beta >0\).
Mathematics Subject Classification ID: 92B05
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 93D99
zbMATH DE Number: 3926688
zbMATH Keywords: compartmental system
zbMATH Keywords: complexity indices
zbMATH Keywords: eigenvalues
zbMATH Keywords: Shannon index
zbMATH Keywords: trace
author: Gilbert G. Walter
MaRDI profile type: Publication
full work available at URL: 0025-5564(84)90095-6
OpenAlex ID: W2060641496
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description: scientific article; zbMATH DE number 3926688