[en] A nonlinear model of alpha-particle-driven Alfven turbulence was proposed previously. The model describes the coupled evolution of the alpha density profile n_α(r,t) and turbulence spectrum φ(t). The model equations involve, Γ^α(r,t), the quasi-linear alpha particle flux, S^f(r,t), the alpha particle source, γ^l_α, the alpha growth rate, γ^l_e, the electron Landau damping rate, and γ_i^nl, the bulk ion Compton scattering rate. The authors have solved these equations numerically. The results show that the saturation is achieved by ion-Compton-scattering induced nonlinear coupling between the stable (γ_α < γ_e) and unstable (γ_α > γ_e) part of the spectrum. Due to the non-local nature of this process, the saturated spectrum consists of two well separated peaks, one in the unstable and one in the stable region. The former determines the energy input from the alphas, while the latter determines the energy dissipation to the electrons. The imbalance between the energy input and energy dissipation leads to quasi-periodic oscillations of the total fluctuation energy. The numerical results show large alpha particle transport only when the alpha growth rate is strong in comparison with the ion Compton scattering rate. This condition depends on the bulk plasma and alpha density scale lengths and β_α