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Traveling wave solutions of a reaction-diffusion predator-prey model

  • * the Corresponding author

    * the Corresponding author

This work is supported by the Natural Science Foundation of China (Grant No.11471146)

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  • This paper is concerned with the dynamics of traveling wave solutions for a reaction-diffusion predator-prey model with a nonlocal delay. By using Schauder's fixed point theorem, we establish the existence result of a traveling wave solution connecting two steady states by constructing a pair of upper-lower solutions which are easy to construct in practice. We also investigate the asymptotic behavior of traveling wave solutions by employing the standard asymptotic theory.

    Mathematics Subject Classification: Primary: 92D25, 35K57, 35C07.

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