We study the $\overline{d}$-$\ifmmode \bar{u}\else \={u}\fi{}$ asymmetry of the proton in a model approach recently developed, in which hadronic fluctuations of the nucleon are generated through gluon splitting and recombination mechanisms. Within this framework, it is shown that both $\overline{d}/\ifmmode \bar{u}\else \={u}\fi{}$ and $\overline{d}$-$\ifmmode \bar{u}\else \={u}\fi{}$ distributions in the proton can be consistently described by including only nucleon fluctuations to $|\ensuremath{\pi}N〉$ and $|\ensuremath{\pi}\ensuremath{\Delta}〉$ bound states. Predictions of the model closely agree with the recent experimental data of the E866/NuSea Collaboration.