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Let $\mathcal{M}$ be a moduli space of polystable rank 2-bundles bundles withfixed determinant (a moduli space of $\mathrm{PU}(2)$-instantons) on aGauduchon surface with $p_g=0$ and $b_1=1$. We study the holomorphic structureof $\mathcal{M}$ around a circle $\mathcal{T}$ of regular reductions. Our modelspace is a "blowup flip passage", which is a manifold with boundary whoseboundary is a projective fibration, and whose interior comes with a naturalcomplex structure.  We prove that a neighborhood of the boundary of the blowup$\hat{\mathcal{M}}_{\mathcal{T}}$ of $\mathcal{M}$ at $\mathcal{T}$ can besmoothly identified with a neighborhood of the boundary of a "flip passage"$\hat Q$, the identification being holomorphic on $\mathrm{int}(\hat Q)$.

Instanton moduli spaces on non-K\"ahlerian surfaces. Holomorphic models around the reduction loci