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Asymptotic Speed of Wave Propagation for A Discrete Reaction-Diffusion Equation

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Abstract

We deal with asymptotic speed of wave propagation for a discrete reaction-diffusion equation. We find the minimal wave speed c * from the characteristic equation and show that c * is just the asymptotic speed of wave propagation. The isotropic property and the existence of solution of the initial value problem for the given equation are also discussed.

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Authors and Affiliations

  1. School of Mathematics Science, South China Normal University, Guangzhou, 510631, China

    Xiu-xiang Liu & Pei-xuan Weng

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  1. Xiu-xiang Liu
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  2. Pei-xuan Weng
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Correspondence to Xiu-xiang Liu.

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Supported by the National Natural Science Foundation of China (No.10571064), and Natural Science Foundation of Guangdong Province of China (No.04010364).

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Liu, Xx., Weng, Px. Asymptotic Speed of Wave Propagation for A Discrete Reaction-Diffusion Equation. Acta Math. Appl. Sin, Engl. Ser. 22, 369–386 (2006). https://doi.org/10.1007/s10255-006-0312-9

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  • DOI: https://doi.org/10.1007/s10255-006-0312-9

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