In summary, we investigate design of the reactor structure of mu-H/T + D2 , where H/T is as an injector of mut atoms and the D2 layer is used as fusion media. The work was take placed with deep sight on the structure. The coupled transport and point kinematic equations have been used to study of the muon and particle dynamics. The equations are solved in implicit method by using boundary conditions recently reported. We have calculated the number densities of particles in one dimensional space, by considering physical conditions such as the temperature , the thickness of fusion layer (~micrometer ) and the injection of muonic atoms with E~2.2eV into fusion media. Our result of the fusion numbers ( the muon cycling coefficient) is compared with the latest theoretical result. The present cycling coefficient approximately equals , where it differs 8% and 10% in comparison with maximum and minimum gains, respectively. The reasons of these differences are due to transport of mut atoms.