  We give a new proof for a Ray-Knight representation of Feller's branching
diffusion with logistic growth in terms of the local times of a reflected
Brownian motion $H$ with a drift that is affine linear in the local time
accumulated by $H$ at its current level. In \cite{LPW}, such a representation
was obtained by an approximation through Harris paths that code the genealogies
of particle systems. The present proof is purely in terms of stochastic
analysis, and is inspired by previous work of Norris, Rogers and Williams
\cite{NRW}.
