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- W2889572590 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. The approximate analytical solutions have been found by using a perturbation method. The solution indicates that the population density propagates as a sharp traveling wave. The wave speed, obtained in analytical form, increases with the ratio of the growth rate to the damped rate---and it 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.
- W2889572590 created "2018-09-27" @default.
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- W2889572590 date "2018-04-30" @default.
- W2889572590 modified "2023-09-27" @default.
- W2889572590 title "Perturbative solutions for a flux limited reaction-diffusion equation" @default.
- W2889572590 hasPublicationYear "2018" @default.
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