The mathematical model to any Sterile Insect Release Programme (SIT) can be inferred by the equations for SIT that have been published over the years. For example, the Knipling equation (Knipling 1955) is Nt+1 = λNt (Nt / (S + Nt))
It contains only three kinds of quantities: the population size N, the sterile release rate S, and the rate of population increase per generation λ. At equilibrium (i.e., steady state, which in this case is unstable), one can solve for S and find that S = (λ-1)N. Thus, λ, S and N are part of the equations of the simplest SIT model. You can get more information in this link:
Sadly, many equations have been written but never (even mine) used.
SIT is an expensive business so it is worth running trials to see how your sterile flies go First use modest trials to find the rate of release required to get a certain number of flies per trap in your monitoring array.. Once you have found that you try that rate of release against real infestations and make adjustments to release rate with each release until you see effective impact (decline and extinction of the pest. details are given in IAEA protocols.