10 students had tested positive. Picture shown is for illustrative purposes only.

Two schools in the Australian city of Sydney closed on Monday after three students tested positive for the coronavirus, taking Australia's tally of cases to more than 80 as the government prepares a fiscal stimulus to ward off recession.

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Australia has seen a worrying increase in coronavirus cases in the past couple of days, though Chief Medical Officer Brendan Murphy said the majority were travellers who caught the virus abroad, with only one instance of community transmission.

10 students at Sydney's St Patrick's Marist College Dundas had tested positive for the virus while a year-7 pupil tested positive at the Willoughby Girls High School.

Shelves usually stocked with toilet rolls are seen empty in a supermarket following panic buying in Sydney. Saeed Khan/AFP

"This is likely to be the new norm," said Brad Hazzard the minister of health for New South Wales state.

The school closures come days after another high school in Sydney shut down when a 16-year-old there tested positive.

Epping Boys High School reopened on Monday though nearly 70 students and staff who had close contact with the infected student remained in self-isolation.

The coronavirus has infected 107,000 people around the world in an ever-growing list of countries and caused hefty economic damage, prompting central banks to ease monetary policies.

Three people have died in Australia.

"This is a public health emergency of an unprecedented nature that our nation and that the entire global community is facing," the health minister of Victoria state, Jenny Mikakos, told a televised briefing.

Her state also recorded a jump in the number of cases after two people who recently arrived from the United States and one who returned from Iran were diagnosed as infected with the virus.

"We do anticipate that this likely pandemic will have significant impacts on our health system. This has been my absolute focus, making sure that our system is prepared to respond," Mikakos said.

Worries about the hit to the economy saw nearly A$108 billion ($70.5 billion) wiped off Australian shares in yet another day of panic selling in global financial markets.