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Periodic solutions for a \(3\times 3\) competitive system with cross-diffusion

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Publication:874382
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DOI10.3934/dcds.2006.15.725zbMath1118.35004OpenAlexW2023171660MaRDI QIDQ874382

Wei-Ming Ni, Salomé Martínez

Publication date: 5 April 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.15.725

zbMATH Keywords

Hopf bifurcationLotka-Volterraspatially non-constant periodic solutions


Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32)


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Existence and asymptotic behavior of positive solutions for a one-prey and two-competing-predators system with diffusion, Spatiotemporal Patterns Induced by Cross-Diffusion in a Three-Species Food Chain Model, The analysis of a finite element method for the three-species Lotka-Volterra competition-diffusion with Dirichlet boundary conditions



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