Existence of traveling waves in a simple isothermal chemical system with the same order for autocatalysis and decay
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Publication:2995459
DOI10.1090/S0033-569X-2010-01236-7zbMath1229.34040MaRDI QIDQ2995459
Publication date: 21 April 2011
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://www.ams.org/journals/qam/2011-69-01/S0033-569X-2010-01236-7/home.html
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Reaction-diffusion equations (35K57) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07)
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Cites Work
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- Reaction-diffusion waves in an isothermal chemical system with general orders of autocatalysis and spatial dimension
- Uniqueness of traveling wave solutions for a biological reaction-diffusion equation
- The development of travelling waves in cubic auto-catalysis with different rates of diffusion
- Propagating reaction-diffusion waves in a simple isothermal quadratic autocatalytic chemical system
- Traveling waves in a simple population model involving growth and death
- Applications of centre manifold theory
- Traveling waves for a biological reaction-diffusion model
- Phase plane analysis of travelling waves for higher order autocatalytic reaction-diffusion systems
- Traveling waves in a bio-reactor model
- Thresholds and travelling waves in an epidemic model for rabies
- Traveling waves of two-component reaction-diffusion systems arising from higher order autocatalytic models
- Qualitative properties of a nonlinear system for laminar flames without ignition temperature
- The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. I. Permanent form travelling waves
- The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. II. An initial-value problem with an immobilized or nearly immobilized autocatalyst
- The development of travelling waves in a simple isothermal chemical system with general orders of autocatalysis and decay
- Effects of Random Motility on Microbial Growth and Competition in a Flow Reactor
- Travelling waves for a coupled, singular reaction diffusion system arising from a model of fractional order autocatalysis with decay: I. Permanent form travelling waves
- TRAVELING WAVES FOR A SIMPLE DIFFUSIVE EPIDEMIC MODEL
- Travelling wavefronts in combustion and chemical reaction models
- Sharp Estimates on Minimum Travelling Wave Speed of Reaction Diffusion Systems Modelling Autocatalysis
- Travelling waves for a reaction–diffusion system in population dynamics and epidemiology
- The development of travelling waves in a simple isothermal chemical system II. Cubic autocatalysis with quadratic and linear decay