Chapman, 51, has faced a series of health complications since being diagnosed in 2017 with throat cancer.
In an early morning tweet on Sunday, Duane Chapman asked for prayers.
Later that morning, the couple’s youngest daughter, Bonnie Chapman, tweeted that she was catching a flight to Hawaii. According to her Twitter account, she lives in Denver.
On Saturday, she shared an endearing photo of her parents locked in a hug, with her mother smiling broadly.
In an April interview with Tampa, Florida, radio station WRBQ-FM, she described it as “the toughest battle I’ve ever been in.”
“But my faith in God and the love of my family is helping me through,” she said.
The Chapman duo is widely known for hunting down fugitives on the A&E Network show, “Dog the Bounty Hunter,” which ran from 2004 to 2012. CMT then launched a spinoff of the program called “Dog and Beth: On the Hunt,” which aired from 2013 to 2015.
A second spinoff, “Dog’s Most Wanted,” is slated to premiere on WGN America and began production this year, according to Deadline.