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Wave patterns in one-dimensional nonlinear degenerate diffusion equations

By F. Sánchez-Garduño and P. K. Maini

Abstract

Several different types of wave patterns occur in physiology, chemistry and biology. In many cases such phenomena are modelled by reactive-diffusive parabolic systems (see, for example, Fisher 1937; Kolmogorov et al. 1937; Winfree 1988; Murray 1989; Swinney & Krinsky 1992). In many biological and physical situations, dispersal is modelled by a density-dependent diffusion coefficient, for example, the bacterium Rhizobium diffuses through the roots of some leguminosae plants according to a nonlinear diffusive law (Lara-Ochoa & Bustos 1990); nonlinear diffusion has been observed in the dispersion of some insects (Okubo 1980) and small rodents (Meyers & Krebs 1974)

Topics: Biology and other natural sciences
Publisher: Plenum Press
Year: 1993
OAI identifier: oai:generic.eprints.org:506/core69

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