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The discovery comes just days after Amber Rose's mother Lisa Ann Rush was found dead in what was believed to be a suspected suicide.
Amber Rose's great aunt Ange Rush, who lives in Christchurch, said the profile features "some pictures of Amber that look to have been swiped off her Facebook page.''
The page began posting photos of Amber Rose shortly after her death, Ms Rush said.
"I can only assume it's some sick, twisted individual with too much time on their hands.
"Given that Amber's mum has just passed, it's very upsetting''.
The page, established on photo- and video-sharing network Instagram, featured a profile picture of Amber Rose, and purports to be a 20-year-old bisexual woman living in Australia.
Ms Rush said the page was an insult to her relative's memory.
"There are some extremely sick people in the world.
"I want to ... thump them. How dare they dirty her beautiful face with that smut. It's probably some bored teen - but they need to learn some damned respect''.
She asked anyone who used Instagram to report the account in an effort to get it suspended.
"I need everyone with an Instagram account to report this.''
Where to get help
If you are worried about your or someone else's mental health, the best place to get help is your GP or local mental health provider. However, if you or someone else is in danger or endangering others, call police immediately on 111.
Or if you need to talk to someone else:
• LIFELINE: 0800 543 354 (available 24/7)
• SUICIDE CRISIS HELPLINE: 0508 828 865 (0508 TAUTOKO) (available 24/7)
• YOUTHLINE: 0800 376 633 ,free text 234 or email firstname.lastname@example.org or online chat.
• NEED TO TALK? Free call or text 1737 (available 24/7)
• KIDSLINE: 0800 543 754 (available 24/7)
• WHATSUP: 0800 942 8787 (1pm to 11pm)
• DEPRESSION HELPLINE: 0800 111 757
• SAMARITANS – 0800 726 666.