• Title of article

    Bifurcation of Lotka–Volterra competition model with nonlinear boundary conditions

  • Author/Authors

    Zhang، نويسنده , , Yang and Wang، نويسنده , , Mingxin، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2014
  • Pages
    5
  • From page
    52
  • To page
    56
  • Abstract
    In this paper, we discuss the bifurcation of semi-trivial solutions for the Lotka–Volterra competition model with nonlinear boundary conditions over a smooth bounded domain. Applying the Crandall–Rabinowitz local bifurcation theorem Crandall and Rabinowitz (1971) we prove the existence of a smooth curve bifurcating from the appropriate semi-trivial branch.
  • Keywords
    competition model , Nonlinear boundary conditions , Bifurcation , positive solutions
  • Journal title
    Applied Mathematics Letters
  • Serial Year
    2014
  • Journal title
    Applied Mathematics Letters
  • Record number

    1529436