Title :
Stability of Vegetation Patterns and Desertification Model
Author :
Jinmei, Wang ; Xin, Li
Author_Institution :
Sch. of Math., Univ. of Jinan, Jinan, China
fDate :
July 31 2012-Aug. 2 2012
Abstract :
We discuss the local existence and uniqueness of solutions to initial boundary value problem for a vegetation patterns and desertification model. We prove that the nonnegative equilibrium solutions of the problem are asymptotically stable under Lipschitz conditions.
Keywords :
asymptotic stability; ecology; initial value problems; vegetation; Lipschitz conditions; asymptotic stability; desertification model; initial boundary value problem; local existence; nonnegative equilibrium solutions; solutions uniqueness; vegetation patterns; Asymptotic stability; Biological system modeling; Educational institutions; Eigenvalues and eigenfunctions; Equations; Stability analysis; Vegetation; Local Existence and Uniqueness; Stability and Asymptotical Stability; Super-sub-solution;
Conference_Titel :
Digital Manufacturing and Automation (ICDMA), 2012 Third International Conference on
Conference_Location :
GuiLin
Print_ISBN :
978-1-4673-2217-1
DOI :
10.1109/ICDMA.2012.186
