The Australian Defence Force will now be enforcing coronavirus isolation in Tasmania, along with police.
About 40 people from the ADF will support Tasmania Police officers from today, as well as SES workers and firefighters.
Coronavirus: All the latest updates on COVID-19 for Tasmania
So far, 2300 checks have been conducted, and Tasmania Police Acting Deputy Commissioner Jonathan Higgins said overall there had been "very high levels of compliance".
"But we continue to get reports of people flouting the requirements in some public places and it must be clear that this is not acceptable," he said.
An example of this was a group of ten people who entered camping grounds on the East Coast on the weekend, going against the latest government restrictions.
"Those required to isolate must fully adhere to the requirement and be aware that if they blatantly disregard these directions, they will face prosecution," Acting Deputy Commissioner Higgins said.
Going forward, firefighters and SES workers will mostly be checking in on those under level four quarantine restrictions, which includes includes travellers who have arrived in Tasmania since Friday, and have filled in arrival cards before going into self-isolation.
Tasmanian Volunteer Fire Brigades Association state president said members were putting their hand up to help, particularly in the state's regional community.
"They don't have to, they are not being forced to, but they are happy to help out, and are prepared to do what is needed in the community," he said.
Tasmania Police, with the assistance of ADF, will continue to check those who fall under levels one to three of the quarantine measures.
Those checks include people who have tested positive for the virus, close contacts of confirmed cases, and anyone arriving by cruise ship.
Defence Minister Linda Reynolds said Operation COVID-19 ASSIST was a national effort, which would include seven state-and-territory-based task groups.
"The ADF is contributing to a national response to protect Australians and support state and territory capacity in a time of crisis," she said in a statement.
"Under Operation COVID-19 ASSIST, Defence will provide customised support to state and territory authorities, to reinforce and expand their capacity to respond to the COVID-19 pandemic."
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