  We study the global bifurcation curves of a diffusive logistic equation, when
harvesting is orthogonal to the first eigenfunction of the Laplacian, for
values of the linear growth up to $\lambda_2+\delta$, examining in detail their
behavior as the linear growth rate crosses the first two eigenvalues. We
observe some new behavior with regard to earlier works concerning this
equation. Namely, the bifurcation curves suffer a transformation at
$\lambda_1$, they are compact above $\lambda_1$, there are precisely two
families of degenerate solutions with Morse index equal to zero, and the whole
set of solutions below $\lambda_2$ is not a two dimensional manifold.
