EXISTENCE OF PERIODIC TRAVELING WAVES IN THE KLAUSMEIER MODEL OF DESERTIFICATION AND ITS MODIFICATION: A COMPARATIVE STUDY.

Autor: Howlader, Md. A. S., Arif, Md. Ariful Islam, Andallah, L. S., Gani, M. Osman
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Zdroj: Ganit: Journal of Bangladesh Mathematical Society; 2018, Vol. 38, p27-46, 20p
Abstrakt: Self-organized and spatially periodic banded vegetation patterns have been observed in many semiarid 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index