Multistability, oscillations and travelling waves in a product-feedback autocatalator model. II The initiation and propagation of travelling waves

DOI10.1098/rsta.1994.0139zbMath0821.92026OpenAlexW1971157018MaRDI QIDQ4833603

S. M. Collier, Stephen K. Scott, John H. Merkin

Publication date: 27 September 1995

Published in: Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.1994.0139

zbMATH Keywords

asymptotic solutionsmultistabilitycontracting caseexpanding casepermanent form travelling wave equationsproduct-feedback autocatalator modelreduced case

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Chemically reacting flows (80A32) Initial value problems for second-order parabolic systems (35K45) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (3)

Stability and pattern formation in a coupled arbitrary order of autocatalysis system ⋮ Bifurcation and pattern formation in a coupled higher autocatalator reaction diffusion system ⋮ QUALITATIVE ANALYSIS FOR THE MERKIN ENZYME REACTION SYSTEM

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