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Propagation speeds of traveling fronts for higher order autocatalytic reaction-diffusion systems

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Abstract

This paper investigates the existence of traveling fronts and their propagation speeds for the two component higher order autocatalytic reaction-diffusion systems with any diffusion coefficients. Our elementary analysis of the vector fields in the phase space gives the estimate of the minimal propagation speeds in terms of the order of autocatalysis and the diffusion coefficients.

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Authors and Affiliations

  1. Department of Information and Communication Sciences, Kyoto Sangyo University, 603, Kyoto, Japan

    Yuzo Hosono

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  1. Yuzo Hosono
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Additional information

This work was in part supported by Grant-in-Aid for Scientific Research No. 14540143 and No. 18540144 Japan Society for the Promotion of Science.

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Hosono, Y. Propagation speeds of traveling fronts for higher order autocatalytic reaction-diffusion systems. Japan J. Indust. Appl. Math. 24, 79–104 (2007). https://doi.org/10.1007/BF03167509

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  • DOI: https://doi.org/10.1007/BF03167509

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