Attractivity and stability in the competitive systems of PDEs of Kolmogorov type

DOI10.1016/j.amc.2014.03.116zbMath1334.35087arXiv1211.4379OpenAlexW2039390964MaRDI QIDQ274942

Joanna Balbus

Publication date: 25 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4379

zbMATH Keywords

stabilityglobal attractivityreaction-diffusion systemLyapunov functionallower averageupper average

Mathematics Subject Classification ID

Attractors (35B41) Reaction-diffusion equations (35K57) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

• Time-averaging and permanence in nonautonomous competitive systems of PDEs via Vance-Coddington estimates
• Average conditions for Kolmogorov systems
• On the asymptotic behavior of some population models
• Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system
• Permanence and asymptotic stability for competitive and Lotka-Volterra systems with diffusion.
• Pullback permanence in a non-autonomous competitive Lotka--Volterra model
• Nonautonomous Lotka-Volterra systems. I
• A survey of constructing Lyapunov functions for mathematical models in population biology
• Global asymptotic stability in a periodic Lotka-Volterra system
• Global asymptotic stability in an almost-periodic Lotka-Volterra system

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