Stability conditions and Liapunov functions for quasi-polynomial systems

The stability of equilibrium points of quasi-polynomial systems of ODEs is considered. The criteria and Liapunov functions found generalize those traditionally known for Lotka-Volterra equations, that now appear as a particular case.

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Bibliographic Details
Published inApplied mathematics letters Vol. 15; no. 1; pp. 25 - 28
Main Author Hernández-Bermejo, B.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 2002
Elsevier
Subjects
Exact sciences and technology
Liapunov functions
Lotka-Volterra systems
Mathematical analysis
Mathematics
Ordinary differential equations
Quasi-polynomial systems
Sciences and techniques of general use
Stability
Lotka-Volterra systems
Liapunov functions
Stability
Quasi-polynomial systems
Polynomial function
Lotka Volterra model
Lyapunov function
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Summary:The stability of equilibrium points of quasi-polynomial systems of ODEs is considered. The criteria and Liapunov functions found generalize those traditionally known for Lotka-Volterra equations, that now appear as a particular case.
ISSN:0893-9659
1873-5452
DOI:10.1016/S0893-9659(01)00087-8