Dynamic magnetic properties the spin-1 Ising model with bilinear and biquadratic interactions under the oscillating magnetic field are studied by using the path probability method. The influences of the reduced temperature, angular frequency, biquadratic exchange interaction and rate constants on the dynamic magnetic properties of the system, such as magnetizations, phase diagrams, hysteresis behaviors, coercivity fields, remanent magnetizations, are examined. New and interesting phase dynamic phase diagrams and a number of characteristic hysteresis loop behaviors, such as triple loops, type I, and type III behaviors, are observed. The results are qualitatively consistent with those of some theoretical and experimental studies. (C) 2019 Elsevier B.V. All rights reserved.