that “not a lot can be done” and that the family had been “preparing for the worst”.
Daughter Bonnie, 20, led tributes with a series of posts on twitter.
"I'll never forget you, mama," she wrote.
"You were such a strong woman, and you taught me to always be strong.
"You were strong for everyone, and you taught me it's okay to let go."
Daughter-in-law Jamie Chapman, who is married to stepson Leland Chapman, shared a bible verse, which read: “Even though I walk through the valley of the shadow of death, I will fear no evil, for you are with me; your rod and your staff, they comfort me. Psalm 23:4.”
She captioned the post: “The Lord will do right by Beth. I will always love you and miss you.”
Stepdaughter Lyssa Chapman wrote simply: “Beth we love you.”
Chapman had to be put in a medically-induced coma on Saturday after she started fighting against doctors’ help.
She was understood to have started pulling out the tubes doctors were using to give her fluids and medications.
She had been taken to hospital from her Honolulu home after passing out momentarily, but was “not reacting well” when she arrived and had to be given oxygen.
TMZ reported that medics had to put her under mild sedation before going ahead with a full medically-induced coma.
Duane took to Twitter over the weekend and asked his fans: "Please say your prayers for Beth right now thank you love you".
The family spokesman, Mona Wood-Sword, had said the family were still hoping Beth would recover.
"Duane and the family feel she's such a fighter, she could get better," Wood-Sword said. "The family still has hope."
Chapman had successful surgery on her throat in late 2017, but began chemotherapy in December last year after being told by doctors that the cancer had returned and progressed.
In April, Chapman was rushed to hospital in Hawaii with "serious breathing issues".
Duane, 66, previously told Fox News his family's faith and beliefs were what had kept them going through such a difficult time.
"Faith is probably the No. 1 thing in our lives, no matter what we’re faced with," he said.
"Through this cancer episode, we had to drum up as much faith as we could. And the Bible talks about having faith as small as a mustard seed.
"And that’s not much... And I thank God that we had at least that much faith to get her through that."
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Beth was Duane's fifth wife.
The couple tied the knot in 2006 and became great-grandparents earlier this year.
She was last seen in public celebrating Palm Sunday over the Easter Weekend in April, and shared a smiling photo of herself dolled up for the occasion on .
Late Beth Chapman, criminal catching wife of Dog The Bounty Hunter, explained her passion for hunting down crooks in TV interview
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