An active implantable medical device for neurostimulation therapy is disclosed. The device produces stimulation pulse sequences generated continuously in succession during activity periods separated by intermediate inactivity periods during which no stimulation is issued. An input signal, provided by a physiological sensor, representative of cardiac activity and/or of the patients hemodynamic status is received by circuitry. The circuitry further provides for dynamic control of the neurostimulation therapy, wherein the length of activity periods is modulated based on the current value level of the control parameter compared to a threshold. The duration of the next period of inactivity is calculated by the circuitry at the end of each activity period to maintain a constant duty cycle ratio between periods of activity and periods of inactivity.