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- W2798493753 abstract "We investigate a flux limited reaction-diffusion equation, which is an extension of the generalized Fisher-Kolmogorov-Petrovsky-Piskunov (Fisher-KPP) equation, in one-dimensional space. By using a perturbation method, the approximate analytical solutions have been found. The solution indicates that the population density propagates as a sharp traveling wave. The wave speed increases with the ratio of the growth rate to the damped rate and reaches a limited value, equivalent to the speed of sound, at the large value of the rate ratio. So that, it eliminates the shortcoming of the classical reaction-diffusion models where the propagating speed is infinite. The numerical solutions of this equation have been also provided, in order to compare with the analytical predictions." @default.
- W2798493753 created "2018-05-07" @default.
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- W2798493753 date "2018-04-30" @default.
- W2798493753 modified "2023-09-27" @default.
- W2798493753 title "Approximate solutions for a flux limited reaction-diffusion equation" @default.
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- W2798493753 hasPublicationYear "2018" @default.
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