Titlebook: Mathematical Aspects of Reacting and Diffusing Systems; Paul C. Fife Book 1979 Springer-Verlag Berlin Heidelberg 1979 Derivative.Diffusing

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,Fisher’s Nonlinear Diffusion Equation and Selection-Migration Models,viduals may migrate geographically. In the case of deterministic models with space and time continuous, and selection restricted to a single locus with two alleles, the problem may sometimes be reduced to a single nonlinear diffusion equation. Such a reduction is advantageous, as it permits many qua

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Systems: Comparison Techniques,d in the previous chapter for the scalar equation. At the same time, certain other methods will be described, which were not discussed in that chapter. Our emphasis will be on the problem of obtaining existence of solutions of the types spoken of in Section 3.2, and of analyzing their stability char

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Systems: Linear Stability Techniques,r change the character of a stable stationary state. As mentioned, similar results (Conway, Hoff, and Smoller 1978) state that if the spatial domain ii of the population is small enough, or if the diffusion coefficients are large enough, then the long-time behavior of solutions of the reaction-diffu

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Systems: Bifurcation Techniques, the equation. Then it is typically also the case that when the parameters assume values near the “transition” zone between stability and instability of the uniform solution, other nonuniform, but small amplitude, solutions exist as well. Sometimes they are stable, and thus represent new solutions t

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References to Other Topics,s original state after a pulse traverses it. Signals propagating along a nerve axon are very successfully modeled by pulse solutions of the Hodgkin-Huxley (HH) or FitzHugh-Nagumo (FHN) systems of reaction-diffusion equations, and this, in fact, is the context within which almost all the work on reac

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refore, a lot of efforts have been spent on noise reduction technologies in relation to reducing sound exposure level. For sound sources having widely different acoustical properties, however, this relationship may no longer hold. For example, a sound may exist that has a SPL below the exposure stan

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Paul C. Fiferefore, a lot of efforts have been spent on noise reduction technologies in relation to reducing sound exposure level. For sound sources having widely different acoustical properties, however, this relationship may no longer hold. For example, a sound may exist that has a SPL below the exposure stan

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