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[00018] Structures and evolution of bifurcation diagrams for a one-dimensional diffusive generalized logistic problem with constant yield harvesting

  • Session Time & Room : 5B (Aug.25, 10:40-12:20) @G401
  • Type : Contributed Talk
  • Abstract : We study the diffusive generalized logistic problem with constant yield harvesting: \begin{equation*} \left \{ \begin{array}{ll} u^{\prime \prime }(x)+\lambda g(u)-\mu =0, & -10$. We prove that, for any fixed $\mu >0,$ on the $(\lambda ,\left \Vert u\right \Vert _{\infty })$-plane, the bifurcation diagram consists of a $\subset $-shaped curve and then we study the structures and evolution of bifurcation diagrams for varying $\mu >0.$
  • Classification : 34B18, 74G35
  • Format : Talk at Waseda University
  • Author(s) :
    • Shin-Hwa Wang (National Tsing Hua University, TAIWAN)
    • Kuo-Chih Hung (National Chin-Yi University of Technology, Taiwan)
    • Yiu-Nam Suen (National Tsing Hua University, TAIWAN)