8
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Generalized traveling wave in heterogeneous media: Allee effect can inhibit invasion

      Preprint

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          In this paper, we study a simple one-dimensional model of reaction-diffusion with bistable non-linearity and in heterogeneous media. The bistable term accounts for the so-called Allee effect, and the heterogeneity in the media is localized. We recall the definition of a transition wave used in similar situations by well-known authors, and propose an alternative definition for discussion. We call it generalized traveling wave. As a consequence, we give new results of pinning in such media, due to Allee effect.

          Related collections

          Most cited references5

          • Record: found
          • Abstract: not found
          • Article: not found

          THE WAVE OF ADVANCE OF ADVANTAGEOUS GENES

          R Fisher (1937)
            Bookmark
            • Record: found
            • Abstract: not found
            • Book Chapter: not found

            Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              Bistable traveling waves around an obstacle

                Bookmark

                Author and article information

                Journal
                16 November 2012
                Article
                1211.3858
                0d4b1d3c-5bb4-4273-b3b8-d6c2332f8eda

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                15 pages, 3 figures
                q-bio.PE

                Comments

                Comment on this article