Global stability for a Lotka-Volterra reaction-diffusion system with a qualitatively stable matrix.

DOI10.1016/S0895-7177(99)00180-6zbMath1042.35512OpenAlexW2057282426MaRDI QIDQ1597037

Zhong Wang, Zhengyi Lu

Publication date: 5 May 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(99)00180-6

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57)

Cites Work

• A new class of Volterra differential equations for which the solutions are globally asymptotically stable
• Geometric theory of semilinear parabolic equations
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• An application of the invariance principle to reaction diffusion equations
• Qualitative stability and global stability for Lotka-Volterra systems
• Stability Properties of Solutions to Systems of Reaction-Diffusion Equations
• When is a Matrix Sign Stable?

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