Global Stability of Traveling Waves for a More General Nonlocal Reaction-Diffusion Equation

Global Stability of Traveling Waves for a More General Nonlocal Reaction-Diffusion Equation

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The purpose of this paper is to investigate the global stability of traveling front solutions with noncritical and critical speeds for a more general nonlocal reaction-diffusion equation with or without delay.Our analysis Bags - Wallets relies on the technical weighted energy method and Fourier transform.Moreover, we can get the rates of lipgloss convergence and the effect of time-delay on the decay rates of the solutions.Furthermore, according to the stability results, the uniqueness of the traveling front solutions can be proved.Our results generalize and improve the existing results.