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).
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Sánchez-Garduño, F., Maini, P.K. (1993). Wave Patterns in One-Dimensional Nonlinear Degenerate Diffusion Equations. In: Othmer, H.G., Maini, P.K., Murray, J.D. (eds) Experimental and Theoretical Advances in Biological Pattern Formation. NATO ASI Series, vol 259. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2433-5_10
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DOI: https://doi.org/10.1007/978-1-4615-2433-5_10
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