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Travelling wavefronts of a generalized Fisher equation with spatio-temporal delay

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  • Jin, Chunhua
  • Yin, Jingxue
  • Wang, Yifu

Abstract

We discuss a generalized Fisher equation with a convolution term which introduces a time-delay in the nonlinearity. Special attention is paid to the existence and the asymptotic behavior of travelling wavefronts connecting two uniform steady states.

Suggested Citation

  • Jin, Chunhua & Yin, Jingxue & Wang, Yifu, 2009. "Travelling wavefronts of a generalized Fisher equation with spatio-temporal delay," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 599-609.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:2:p:599-609
    DOI: 10.1016/j.chaos.2007.01.078
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    References listed on IDEAS

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    1. Xu, Rui & Chaplain, M.A.J. & Davidson, F.A., 2006. "Travelling wave and convergence in stage-structured reaction–diffusion competitive models with nonlocal delays," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 974-992.
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