Travelling Waves in Partially Degenerate Reaction-Diffusion Systems

DOI10.1051/mmnp:2008021zbMath1337.35074OpenAlexW2103849091MaRDI QIDQ2788491

Bogdan Kaźmierczak, Vitaly A. Volpert

Publication date: 19 February 2016

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp:2008021

zbMATH Keywords

travelling wavesreaction-diffusion systemscalcium dynamics

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Nonlinear ordinary differential equations and systems (34A34) Soliton equations (35Q51)

Related Items (4)

How hysteresis produces discontinuous patterns in degenerate reaction–diffusion systems ⋮ Analysis of a model arising from invasion by precursor and differentiated cells ⋮ Stability of a Planar Front in a Class of Reaction-Diffusion Systems ⋮ Stability Analysis for Combustion Fronts Traveling in Hydraulically Resistant Porous Media

Cites Work

• Unnamed Item
• Travelling waves for reaction-diffusion-convection systems
• Existence of heteroclinic orbits for systems satisfying monotonicity conditions.
• Exponential dichotomies and transversal homoclinic points
• The asymptotic behavior of solutions of the buffered bistable system
• Traveling Waves in Buffered Systems: Applications to Calcium Waves
• Propagation of frontal polymerization—crystallization waves
• Existence and Stability of Traveling Waves in Buffered Systems

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