The effects of unequal diffusion coefficients on periodic travelling waves in oscillatory reaction–diffusion systems

2007/07/31 by Matthew J. Smith, Jonathan A. Sherratt · 2 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Medicine · #Evolution and Genetic Dynamics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation

paper · doi:10.1016/j.physd.2007.07.013

openalex publication_date 2007/07/31 · crossref created 2007/07/31 · crossref issued 2007/12/01 · crossref published 2007/12/01 · crossref published-print 2007/12/01 · crossref deposited 2019/05/01 · openalex created_date 2025/10/10 · crossref indexed 2026/01/14 · openalex updated_date 2026/07/23

Citations

• The Minimal Speed of Traveling Fronts for a Diffusive Lotka–Volterra Competition Model
• On the Evolution of Periodic Plane Waves in Reaction-Diffusion Systems of λ –ω Type
• Irregular wakes in reaction-diffusion waves
• Absolute and convective instabilities of waves on unbounded and large bounded domains
• Periodic Travelling Wave Selection by Dirichlet Boundary Conditions in Oscillatory Reaction-Diffusion Systems
• Spatial Noise Stabilizes Periodic Wave Patterns in Oscillatory Systems on Finite Domains
• A minimal model of pattern formation in a prey-predator system
• Computing absolute and essential spectra using continuation

Cited by

• Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations
• Periodic travelling wave [wikipedia]