Existence of Periodic Traveling Waves in the Klausmeier Model of Desertification and its Modification: A Comparative Study
Keywords:Klausmeier model, periodic traveling waves, desertification, reaction-advection-diffusion equations.
Self-organized and spatially periodic banded vegetation patterns have been observed in many semi-arid ecosystems. In order to understand the mechanism of these patterns, we consider a system of reaction-advection-diffusion equations in a two-variable model of desertification. This work deals with the investigation of the existence of periodic traveling waves in a one-parameter family of solutions. In addition, we investigate the existence of periodic traveling waves as a function of water transport parameter in the model.
GANIT J. Bangladesh Math. Soc.Vol. 38 (2018) 27-46
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