A competition system with nonlinear cross-diffusion: exact periodic patterns

DOI10.1007/S13398-022-01299-1zbMath1498.35140OpenAlexW4298000836MaRDI QIDQ2081242

Dinara Zhanuzakova, Robert Kersner, Mihály Klincsik

Publication date: 12 October 2022

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-022-01299-1

zbMATH Keywords

pattern formationreaction-diffusion systemscross-diffusionstability of patternsperiodic stationary solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Solutions to PDEs in closed form (35C05)

Related Items (2)

The Shigesada-Kawasaki-Teramoto model: conditional symmetries, exact solutions and their properties ⋮ A domain-dependent stability analysis of reaction-diffusion systems with linear cross-diffusion on circular domains

Cites Work

• Unnamed Item
• Exact wavefronts and periodic patterns in a competition system with nonlinear diffusion
• Stability of patterns and of constant steady states for a cross-diffusion system
• Remarks on some Lotka-Volterra type cross-diffusion models
• On the distribution of capital and labour in a closed economy
• Modeling contact inhibition of growth: traveling waves
• Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications
• The chemical basis of morphogenesis

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