A note on positive non-constant steady-state solutions to a reaction-diffusion model

DOI10.1016/J.AMC.2010.10.038zbMath1208.35155OpenAlexW2094299388MaRDI QIDQ618127

Changci Pang, Zhongli Wei, Wei Dong

Publication date: 14 January 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.10.038

zbMATH Keywords

non-existencereaction-diffusion modelpositive steady statesfeedback effect

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) A priori estimates in context of PDEs (35B45) Positive solutions to PDEs (35B09)

Cites Work

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• Large amplitude stationary solutions to a chemotaxis system
• Diffusion vs cross-diffusion: An elliptic approach
• Positive steady-state solutions of the Noyes--Field model for Belousov--Zhabotinskii reaction.
• Non-constant positive steady states of the Sel'kov model.
• Qualitative analysis of steady states to the Sel'kov model
• Stationary Pattern of a Ratio-Dependent Food Chain Model with Diffusion

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