Global solutions for an \(m\)-component system of activator-inhibitor type

DOI10.1155/2013/939405zbMath1470.35176OpenAlexW2020709776WikidataQ58917772 ScholiaQ58917772MaRDI QIDQ2319288

Yanyan Li

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/939405

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Global solutions of reaction-diffusion systems
• Reaction-diffusion model for phyllotaxis
• Boundedness and blow up for the general activator-inhibitor model
• Condensation of Determinants
• Reaction-diffusion systems in the Gierer-Meinhardt theory of biological pattern formation
• The chemical basis of morphogenesis
• Proof of existence of global solutions form-component reaction–diffusion systems with mixed boundary conditions via the Lyapunov functional method

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