Stability Conditions and Liapunov Functions for Quasi-Polynomial Systems
Benito Hern\'andez-Bermejo
TL;DR
This paper develops generalized stability criteria and Lyapunov functions for quasi-polynomial systems of ODEs, extending classical results from Lotka-Volterra equations to a broader class of systems.
Contribution
It introduces new stability conditions and Lyapunov functions that encompass and extend traditional results for Lotka-Volterra systems.
Findings
Generalized stability criteria for quasi-polynomial systems
New Lyapunov functions applicable to a wider class of systems
Extension of classical Lotka-Volterra stability results
Abstract
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 equatious, that now appear as a particular case.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Quantum chaos and dynamical systems · Mathematical and Theoretical Epidemiology and Ecology Models