Traveling waves of two-component reaction-diffusion systems arising from higher order autocatalytic models

DOI10.1090/S0033-569X-09-01153-9zbMath1362.34072MaRDI QIDQ3393903

Jong-Shenq Guo, Je-Chiang Tsai

Publication date: 27 August 2009

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/distribution/qam/2009-67-03/S0033-569X-09-01153-9/home.html

zbMATH Keywords

reaction-diffusion systemstraveling wavescentre manifold

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07)

Related Items (8)

Existence of traveling waves of auto-catalytic systems with decay ⋮ Existence of traveling waves of general Gray-Scott models ⋮ Travelling waves of iodate-arsenous-acid reaction with a constant electric field ⋮ The existence and non-existence of travelling front in high order auto-catalysis chemical reaction ⋮ Traveling waves solutions to general isothermal diffusion systems ⋮ Traveling waves solutions of isothermal chemical systems with decay ⋮ Existence of traveling waves in a simple isothermal chemical system with the same order for autocatalysis and decay ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• The development of travelling waves in cubic auto-catalysis with different rates of diffusion
• Traveling waves in a simple population model involving growth and death
• Applications of centre manifold theory
• Traveling waves for a biological reaction-diffusion model
• Travelling wave solutions of diffusive Lotka-Volterra equations
• 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
• 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
• Front Propagation in Heterogeneous Media
• 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

This page was built for publication: Traveling waves of two-component reaction-diffusion systems arising from higher order autocatalytic models