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<p>We investigate the existence of periodic travelling waves in a two-species chemotaxis model with time delay effect and Lotka-Volterra competitive kinetics by using the perturbation technique. The proof depends on a transformation of the differential equation with the wave profile to an integral equation. The existence of solution of the integral equation is derived by applying the Liapunov-Schmidt reduction and the implicit function theorem.</p>

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Periodic Travelling Wave Solutions in a Two-Species Chemotaxis Model with Time Delay Effect

  • 期刊论文

  • 发表日期：

    2025年6月17日

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  • Dong Li,
  • Nengxing Tan,
  • Xiaxia Wu

摘要

We investigate the existence of periodic travelling waves in a two-species chemotaxis model with time delay effect and Lotka-Volterra competitive kinetics by using the perturbation technique. The proof depends on a transformation of the differential equation with the wave profile to an integral equation. The existence of solution of the integral equation is derived by applying the Liapunov-Schmidt reduction and the implicit function theorem.