Title :
Controllability of populations: The competitive exclusion principle
Author :
Waldon, Michael G. ; Blankenship, Gilmer L.
Author_Institution :
Louisiana State University, Baton Rouge, LA
fDate :
2/1/1980 12:00:00 AM
Abstract :
Necessary conditions for coexistence of competitive species described by a simple model of population growth and resource exploitation are derived using controllability and observability conditions for time-varying linear systems. The "competitive exclusion principle" of ecological theory follows from these conditions.
Keywords :
Biological control systems; Controllability; Linear systems, time-varying continuous-time; Automatic control; Biomass; Control systems; Controllability; Environmental factors; Equations; Observability; Steady-state; Time varying systems; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1980.1102239
