Propagation speeds of disturbances are bounded for a class of reaction–diffusion systems

DOI10.1080/00036810500047758zbMath1078.35053OpenAlexW2068675880WikidataQ58296944 ScholiaQ58296944MaRDI QIDQ5711132

Ryo Ikota

Publication date: 9 December 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810500047758

zbMATH Keywords

one space dimensiontraveling waveFisher equationoperator-splitting methodcomparison techniqueupper bounds of the speeds

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic systems (35K45)

Cites Work

• Stability of fast travelling pulse solutions of the FitzHugh-Nagumo equations
• Explicit solutions of Fisher's equation for a special wave speed
• Multidimensional nonlinear diffusion arising in population genetics
• A topological proof of stability of \(N\)-front solutions of the FitzHugh-Nagumo equations
• Thresholds and travelling waves in an epidemic model for rabies
• ON THE EXISTENCE OF HOMOCLINIC AND PERIODIC ORBITS FOR THE FITZHUGH-NAGUMO EQUATIONS
• A comparison technique for systems of reaction-diffusion equations
• Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction-diffusion equations invading an unstable equilibrium
• TRAVELING WAVES FOR A SIMPLE DIFFUSIVE EPIDEMIC MODEL
• The motion of weakly interacting pulses in reaction-diffusion systems
• Standing pulse solutions in reaction-diffusion systems with skew-gradient structure

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