[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 $\mu >0.$