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  • On the existence of a trave...
    Melillo, S.; Montefusco, E.

    Journal of mathematical analysis and applications, 12/2010, Letnik: 372, Številka: 2
    Journal Article

    Some bacteria like Listeria monocytogenes, Shigella and Rickettsia Rickettsii can move inside the host cell thanks to an actin tail. In this paper a one-dimensional model for the motion of these bacteria, introduced by B. Bazaliy, Y. Bazaliy, and A. Friedman (2007) in 2, is studied. In particular, the model is a system of partial differential equation with two moving boundaries for which we prove the existence of a travelling wave solution.