摘要
We study the one-dimensional diffusive generalized logistic problem with constant yield harvesting: {u (x)+λg(u)−μ=0,−1<x<1,u(−1)=u(1)=0,where λ,μ>0. We assume that nonlinearity g satisfies g(0)=g(1)=0, g(u)>0 on (0,1), and g either is concave on (0,1) or (is concave-convex on (0,1) and satisfies a certain condition). We prove that, for any fixed μ>0, on the (λ,‖u‖ )-plane, the bifurcation diagram consists of a ⊂-shaped curve and then we study the structures and evolution of bifurcation diagrams for varying μ>0. We also prove that, for any fixed λ>[Formula presented], on the (μ,‖u‖ )-plane, the bifurcation diagram consists of a reversed ⊂-shaped curve and then we study the structures and evolution of bifurcation diagrams for varying λ>[Formula presented].