Steady states and dynamics of an autocatalytic chemical reaction model with decay

DOI10.1016/j.jde.2012.03.018zbMath1258.35115OpenAlexW2032933124MaRDI QIDQ432441

Yuhua Zhao, Junping Shi, Yu-Wen Wang

Publication date: 4 July 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.03.018

zbMATH Keywords

existencenonexistencepositive solutionssteady state solutionsupper-lower solutionsautocatalytic chemical reaction with decay

Mathematics Subject Classification ID

Chemistry (92E99) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Bifurcations in context of PDEs (35B32) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (12)

Qualitative analysis on positive steady-states for an autocatalytic reaction model in thermodynamics ⋮ Existence of traveling waves of auto-catalytic systems with decay ⋮ Existence of traveling waves of general Gray-Scott models ⋮ Bifurcation of positive solutions for a three-species food chain model with diffusion ⋮ Higher dimensional solitary waves generated by second-harmonic generation in quadratic media ⋮ Stationary patterns in a two-cell coupled isothermal chemical system with arbitrary powers of autocatalysis ⋮ Structure of solutions set of nonlinear eigenvalue problems ⋮ Coexistence of activator and inhibitor for Brusselator diffusion system in chemical or biochemical reactions ⋮ The evolution of traveling waves in a simple isothermal chemical system modeling quadratic autocatalysis with strong decay ⋮ Traveling waves solutions of isothermal chemical systems with decay ⋮ The travelling wave of Gray-Scott systems – existence, multiplicity and stability ⋮ Persistence and Extinction of Population in Reaction-Diffusion-Advection Model with Weak Allee Effect Growth

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