Automorphisms of complexes of curves on odd genus nonorientable surfaces

Let $N$ be a connected nonorientable surface of genus $g$ with $n$ punctures. Suppose that $g$ is odd and $g+n⩾6$. We prove that the automorphism group of the complex of curves of $N$ is isomorphic to the mapping class group ${\mathcal{M}}_N$ of $N$.