Qualitative stability and global stability for Lotka-Volterra systems

DOI10.1006/jmaa.1994.1081zbMath0801.34054OpenAlexW2083036783MaRDI QIDQ1323212

Yasuhiro Takeuchi, Zhengyi Lu

Publication date: 10 May 1994

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1081

zbMATH Keywords

global stabilityLotka-Volterra systeminteraction matrix

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)

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The LaSalle's invariant sets for a class of Lotka-Volterra prey-predator chain systems ⋮ The limit cycles of a general Kolmogorov system ⋮ Geometric approach for global asymptotic stability of three-dimensional Lotka-Volterra systems ⋮ Limit cycles in a general Kolmogorov model ⋮ Global stability for a Lotka-Volterra reaction-diffusion system with a qualitatively stable matrix.

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