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Uniqueness of Monotone Mono-stable Waves for Reaction-Diffusion Equations with Time Delay

W. HuangM. HanM. Puckett — 2009

Mathematical Modelling of Natural Phenomena

Many models in biology and ecology can be described by reaction-diffusion equations wit time delay. One of important solutions for these type of equations is the traveling wave solution that shows the phenomenon of wave propagation. The existence of traveling wave fronts has been proved for large class of equations, in particular, the monotone systems, such as the cooperative systems and some competition systems. However, the problem on the uniqueness of traveling wave (for a fixed wave speed)...

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