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Pattern formation in systems with one spatially distributed species

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Abstract

We describe a three-species mechanism for spatial pattern formation in which only one species spatially moves. We show that a bifurcation to traveling or standing waves occurs. We contrast this mechanism for pattern formation with the better known cases where more than one species moves.

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Authors and Affiliations

  1. Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, U.S.A.

    Bard Ermentrout

  2. Department of Mathematics, University of Utah, 84112, Salt Lake City, UT, U.S.A.

    Mark Lewis

Authors
  1. Bard Ermentrout
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  2. Mark Lewis
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Ermentrout, B., Lewis, M. Pattern formation in systems with one spatially distributed species. Bltn Mathcal Biology 59, 533–549 (1997). https://doi.org/10.1007/BF02459464

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  • DOI: https://doi.org/10.1007/BF02459464

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