How to minimize this function of two variables

Question

I'm trying to minimize this function of $s$ over some bounds of $x$ and $y$. The function is $$\frac{s x y + 1}{a b s^{3} x y + a s^{2} \left(b + x\right) + s x y + 1}$$ $a$ and $b$ are constants, and I am chiefly concerned about the minimization over some range of $s$, which happens to be a few orders of magnitude. How would I classify this type of optimization? Is there any python scipy capability to solve it? scipy.optimize.minimize can't seem to handle the range of s. For context, this is the Laplace Transform representation of an electrical circuit.