• DocumentCode
    3299393
  • Title

    Stability of Vegetation Patterns and Desertification Model

  • Author

    Jinmei, Wang ; Xin, Li

  • Author_Institution
    Sch. of Math., Univ. of Jinan, Jinan, China
  • fYear
    2012
  • fDate
    July 31 2012-Aug. 2 2012
  • Firstpage
    792
  • Lastpage
    795
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Digital Manufacturing and Automation (ICDMA), 2012 Third International Conference on
  • Conference_Location
    GuiLin
  • Print_ISBN
    978-1-4673-2217-1
  • Type

    conf

  • DOI
    10.1109/ICDMA.2012.186
  • Filename
    6298635