NEW YORK — Janet Jackson is rescheduling part of her Australian tour so she can support her family during the trial of the doctor accused of involuntary manslaughter in her brother Michael’s death.

Dr. Conrad Murray is on trial in Los Angeles. He is accused of being negligent in his care of the superstar, who died in 2009 of an overdose of the anesthetic propofol at age 50.

The prosecution is wrapping up its case this week, and the defense is about to present its case. The Jacksons have been a regular presence at the trial; Janet Jackson was there at the beginning.

“When I planned these shows, the schedule in California was completely different,” she said in a statement. “After talking with my family last night, I decided we must be together right now. …. This saddens me in so many ways.”