@article{Howlader_Arif_Andallah_Gani_2018, title={Existence of Periodic Traveling Waves in the Klausmeier Model of Desertification and its Modification: A Comparative Study}, volume={38}, url={https://banglajol.info/index.php/GANIT/article/view/39783}, DOI={10.3329/ganit.v38i0.39783}, abstractNote={<p>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.</p> <p>GANIT <em>J. Bangladesh Math. Soc.</em>Vol. 38 (2018) 27-46</p>}, journal={GANIT: Journal of Bangladesh Mathematical Society}, author={Howlader, Md AS and Arif, Md Ariful Islam and Andallah, LS and Gani, M Osman}, year={2018}, month={Dec.}, pages={27–46} }