A decomposition method for the stability analysis of large microbial systems

Gregory Stephanopoulos, L. M. Schuelke, George Stephanopoulos

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The primary objective of this paper is to present a method for the stability analysis of microbial systems consisting of a large number of different populations of microorganisms. The overall system is decomposed into easily analyzable subsystems and its stability characteristics are deduced from those of a properly constructed linear system of lower dimension. Several examples are provided which demonstrate the use of the method in studying the dynamics of some interacting microbial populations which grow under continuous flow conditions and, after a parametric analysis, the regions of the parameters which guarantee coexistence are found.

Original languageEnglish (US)
Pages (from-to)126-143
Number of pages18
JournalTheoretical Population Biology
Volume16
Issue number2
DOIs
StatePublished - Jan 1 1979
Externally publishedYes

Fingerprint

stability analysis
decomposition
degradation
coexistence
microorganism
microorganisms
methodology
method
analysis
parameter

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics

Cite this

A decomposition method for the stability analysis of large microbial systems. / Stephanopoulos, Gregory; Schuelke, L. M.; Stephanopoulos, George.

In: Theoretical Population Biology, Vol. 16, No. 2, 01.01.1979, p. 126-143.

Research output: Contribution to journalArticle

Stephanopoulos, Gregory ; Schuelke, L. M. ; Stephanopoulos, George. / A decomposition method for the stability analysis of large microbial systems. In: Theoretical Population Biology. 1979 ; Vol. 16, No. 2. pp. 126-143.
@article{91b32790756b41b38641c198b2d5118f,
title = "A decomposition method for the stability analysis of large microbial systems",
abstract = "The primary objective of this paper is to present a method for the stability analysis of microbial systems consisting of a large number of different populations of microorganisms. The overall system is decomposed into easily analyzable subsystems and its stability characteristics are deduced from those of a properly constructed linear system of lower dimension. Several examples are provided which demonstrate the use of the method in studying the dynamics of some interacting microbial populations which grow under continuous flow conditions and, after a parametric analysis, the regions of the parameters which guarantee coexistence are found.",
author = "Gregory Stephanopoulos and Schuelke, {L. M.} and George Stephanopoulos",
year = "1979",
month = "1",
day = "1",
doi = "10.1016/0040-5809(79)90009-1",
language = "English (US)",
volume = "16",
pages = "126--143",
journal = "Theoretical Population Biology",
issn = "0040-5809",
publisher = "Academic Press Inc.",
number = "2",

}

TY - JOUR

T1 - A decomposition method for the stability analysis of large microbial systems

AU - Stephanopoulos, Gregory

AU - Schuelke, L. M.

AU - Stephanopoulos, George

PY - 1979/1/1

Y1 - 1979/1/1

N2 - The primary objective of this paper is to present a method for the stability analysis of microbial systems consisting of a large number of different populations of microorganisms. The overall system is decomposed into easily analyzable subsystems and its stability characteristics are deduced from those of a properly constructed linear system of lower dimension. Several examples are provided which demonstrate the use of the method in studying the dynamics of some interacting microbial populations which grow under continuous flow conditions and, after a parametric analysis, the regions of the parameters which guarantee coexistence are found.

AB - The primary objective of this paper is to present a method for the stability analysis of microbial systems consisting of a large number of different populations of microorganisms. The overall system is decomposed into easily analyzable subsystems and its stability characteristics are deduced from those of a properly constructed linear system of lower dimension. Several examples are provided which demonstrate the use of the method in studying the dynamics of some interacting microbial populations which grow under continuous flow conditions and, after a parametric analysis, the regions of the parameters which guarantee coexistence are found.

UR - http://www.scopus.com/inward/record.url?scp=0018525158&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0018525158&partnerID=8YFLogxK

U2 - 10.1016/0040-5809(79)90009-1

DO - 10.1016/0040-5809(79)90009-1

M3 - Article

C2 - 538730

AN - SCOPUS:0018525158

VL - 16

SP - 126

EP - 143

JO - Theoretical Population Biology

JF - Theoretical Population Biology

SN - 0040-5809

IS - 2

ER -