A stock-effort dynamical model of a fishery subdivided on several fishing zones has been investigated. The stock The employment of the fuzzy method to solve differential equations has been well studied. In this article, Mathieu differential equations of the quadrupole mass filter (QMF) have been solved by using fuzzy method. This method has not been yet investigated in the quadrupole mass filter (QMF) with fuzzy initial conditions. We survey the physical properties of the confined ion. The results of numerical simulations are presented and discussed.