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Problem on Minimum Wave Speed for a Lotka–Volterra Reaction–Diffusion Competition Model

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Abstract

In this paper, by the instruction of an upper and a lower solutions and with the use of monotone iteration approach we obtain the precise minimum wave speed for the Lotka–Volterra competition model under some conditions on the parameters. Our results extended the known results in literature.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL, 35899, USA

    Wenzhang Huang

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  1. Wenzhang Huang
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Correspondence to Wenzhang Huang.

Additional information

This paper is dedicated to Professor Jack K. Hale on the occasion of his 80th birthday.

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Huang, W. Problem on Minimum Wave Speed for a Lotka–Volterra Reaction–Diffusion Competition Model. J Dyn Diff Equat 22, 285–297 (2010). https://doi.org/10.1007/s10884-010-9159-0

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  • DOI: https://doi.org/10.1007/s10884-010-9159-0

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