In the present study, the Ising-type nanowire with core-shell single-ion anisotropies is studied to investigate the dynamic magnetic behaviors such as the dynamic magnetizations, hysteresis loop areas and dynamic correlations. Thermal and parametric dependences of them are obtained by utilize the effective-field theory with correlations and the Glauber-type stochastic dynamics approach. Thanks to, the nature (first-or second-order) of the dynamic transitions are characterized and the dynamic phase transition temperatures are determined. The effect of interaction parameters on the dynamic phase diagrams is also studied. (C) 2017 The Physical Society of the Republic of China (Taiwan). Published by Elsevier B.V. All rights reserved.