Super-biderivations of the contact Lie superalgebra $K(m,n;\underline{t})$ in prime characteristic

Let $K$ denote the contact Lie superalgebra $K(m,n;\underline{t})$ over a field of characteristic $p>3$, which has a finite $\mathbb{Z}$-grading structure. In this paper, we take the canonical torus $T_K$ of $K$, which is an abelian subalgebra of $K$. By the decomposition of the weight space of $K$ with respect to $T_K$, we show the action of the unique linear map related to symmetric super-biderivation on the generators of $K$. Moreover, we prove that each symmetric super-biderivation of $K$ is zero. Further, we get that each super-biderivation of $K$ is inner. As applications, the linear super-commuting maps and super-commutative post-Lie superalgebra structures on $K$ are described.