Mixed quadratic-cubic autocatalytic reaction-diffusion equations: semi-analytical solutions

DOI10.1016/j.apm.2014.04.027zbMath1428.35165OpenAlexW2083913650MaRDI QIDQ1634120

T. R. Marchant, M. R. Alharthi, Mark I. Nelson

Publication date: 17 December 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.04.027

zbMATH Keywords

Hopf bifurcationsreaction-diffusion equationssingularity theorysemi-analytical solutionsautocatalytic reactions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Bifurcations in context of PDEs (35B32)

Related Items (6)

SEMI-ANALYTICAL SOLUTIONS FOR THE BRUSSELATOR REACTION–DIFFUSION MODEL ⋮ Stability and Hopf bifurcation analysis for the diffusive delay logistic population model with spatially heterogeneous environment ⋮ Unnamed Item ⋮ Stability analysis for Selkov-Schnakenberg reaction-diffusion system ⋮ Semi-analytical solutions for the diffusive logistic equation with mixed instantaneous and delayed density dependence ⋮ Diffusion in multi-dimensional solids using Forman's combinatorial differential forms

Cites Work

• Bifurcation analysis on a reactor model with combination of quadratic and cubic steps
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Singularities and groups in bifurcation theory. Volume I
• Semi-analytical solutions for one- and two-dimensional pellet problems
• Multiple stationary states, sustained oscillations and transient behaviour in autocatalytic reaction-diffusion equations
• A method for the complete qualitative analysis of two coupled ordinary differential equations dependent on three parameters
• Cubic autocatalytic reaction–diffusion equations: semi–analytical solutions
• Parameter space analysis, pattern sensitivity and model comparison for Turing and stationary flow-distributed waves (FDS)

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