A decomposition method for the stability analysis of large microbial systems

Gregory Stephanopoulos, L. M. Schuelke, George Stephanopoulos

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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 - Oct 1979
Externally publishedYes

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics

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