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 - 1979/10
Y1 - 1979/10
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.
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U2 - 10.1016/0040-5809(79)90009-1
DO - 10.1016/0040-5809(79)90009-1
M3 - Article
C2 - 538730
AN - SCOPUS:0018525158
SN - 0040-5809
VL - 16
SP - 126
EP - 143
JO - Theoretical Population Biology
JF - Theoretical Population Biology
IS - 2
ER -