Permanence and asymptotic stability for competitive and Lotka-Volterra systems with diffusion.

DOI10.1016/S1468-1218(02)00081-0zbMath1088.35028OpenAlexW4239812876MaRDI QIDQ1874252

Antonio R. Tineo, Jesus Rivero

Publication date: 22 May 2003

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1468-1218(02)00081-0

zbMATH Keywords

global attractorextinctioncomparison theoremsiterative monotone schemespatially homogeneous positive periodic solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)

Related Items

Attractivity and stability in the competitive systems of PDEs of Kolmogorov type, Coexistence and optimal control problems for a degenerate predator-prey model, Exponential stability of a competitive Lotka-Volterra system with delays, Asymptotic behavior of periodic competition diffusion system, Periodic solutions of a class of degenerate parabolic system with delays, Periodic solutions for the degenerate Lotka-Volterra competition system, Diffusive Lotka-Volterra competition models on periodically evolving domains, Global attractive periodic models of predator-prey type

Cites Work

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• Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion
• A monotone method for a system of nonlinear parabolic differential equations
• Asymptotic behaviour of solutions of periodic competition diffusion system