Existence and stability of periodic solutions for competing species diffusion systems with dirichlet boundary conditions

DOI10.1080/00036819008839976zbMath0725.35051OpenAlexW2002785769MaRDI QIDQ5201657

Anthony W. Leung, Guangwei Fan

Publication date: 1990

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819008839976

zbMATH Keywords

Dirichlet boundary conditionupper- lower-solutions method

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57)

Related Items (1)

Permanence and asymptotic stability in diagonally convex reaction–diffusion systems

Cites Work

• The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains
• Spatial homogeneity of stable solutions of some periodic-parabolic problems with Neumann boundary conditions
• Equilibria and stabilities for competing-species reaction-diffusion equations with Dirichlet boundary data
• Coexistence and stability of a competition-diffusion system in population dynamics
• Stable equilibria with variable diffusion
• Asymptotic behavior of a competition—diffusion system in population dynamics
• Monotone schemes for semilinear elliptic systems related to ecology

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