The positive definiteness of a class of polynomials from the global stability analysis of Lotka-Volterra systems

DOI10.1016/S0898-1221(99)00178-9zbMath0977.34048MaRDI QIDQ1963084

Zhengyi Lu, Guo Jie Wang

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

global stabilitypolynomialspositive definitenessLotka-Volterra systems

Mathematics Subject Classification ID

Global stability of solutions to ordinary differential equations (34D23) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Asymptotic behavior of solutions to single loop positive feedback systems
• The dynamical systems approach to differential equations
• Numerically determining solutions of systems of polynomial equations
• Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results
• Global stability and predator dynamics in a model of prey dispersal in a patchy environment
• Competition in the gradostat: the global stability problem
• Permanence and global stability for competitive Lotka-Volterra diffusion systems

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