THE HAGUE, Netherlands (AP) — A French woman and an American tested positive for the hantavirus, as nations around the world scrambled Monday to repatriate passengers from a cruise ship hit by a deadly outbreak and quarantine or isolate them.

Passengers from the ship began flying home aboard military and government planes Sunday after the MV Hondius anchored in the Canary Islands. Personnel in full-body protective gear and breathing masks escorted the travelers from ship to shore in Tenerife, an effort that continued Monday.

READ MORE: Passengers evacuate MV Hondius cruise ship following hantavirus outbreak

It is the first-ever outbreak of the rare hantavirus on a cruise ship, according to Maria Van Kerkhove, WHO's director of epidemic and pandemic preparedness. So far three cruise ship passengers have died, but health authorities continue to stress that the risk to the broader public is low.

The ship's captain, Jan Dobrogowski, issued a video message Monday praising passengers and crew for their perseverance and calling for respect for their privacy.

"I've witnessed your caring, your unity and quiet strength amongst everybody on board — guests and crew alike — and I must commend my crew for the courage and the selfless resolve that they showed time and again in the most difficult moments," he said. "I could not imagine sailing through these circumstances with a better group of people, guests and crew alike."

New cases in France, United States

The French woman tested positive for hantavirus and her health worsened in the hospital overnight, French Health Minister Stephanie Rist said Monday. The woman was among five French passengers repatriated on Sunday. She developed symptoms on the flight to Paris, Rist told public broadcaster France-Inter.

One of 17 American passengers evacuated from the ship and flown to Nebraska also tested positive for the hantavirus but is not showing any symptoms, and another had mild symptoms, U.S. health officials said late Sunday. The flight landed in the early hours of Monday morning and passengers were transferred to awaiting buses and driven away from the airport.

The Americans would first be taken to the University of Nebraska Medical Center, which has a federally funded quarantine facility, to assess whether they have been in close contact with any symptomatic people and their risk levels for spreading the virus.

"One passenger will be transported to the Nebraska Biocontainment Unit upon arrival, while other passengers will go to the National Quarantine Unit for assessment and monitoring. The passenger who is going to the Biocontainment Unit tested positive for the virus but does not have symptoms," said Kayla Thomas, a spokesperson for the Nebraska Medicine network that will help care for the passengers.

WATCH: Can hantavirus spread between humans? What to know as WHO investigates ship outbreak

The university medical center also has a special unit for treating people with highly infectious diseases that was used early in the pandemic for COVID-19 patients and previously for Ebola patients.

The WHO recommended close monitoring of the former passengers, and many countries quarantined them.

The planes arriving in Tenerife were to fly out passengers from more than 20 countries in an evacuation effort that was due to wrap up on Monday.

A Dutch plane expected to reach Tenerife Monday afternoon will carry passengers that were previously going to be evacuated on a plane sent by Australia, Spain's Health Minister Mónica García said. On Monday, 54 passengers and crew remained on the ship, of which 22 were expected to disembark, while the remaining 32 will remain on the ship as it returns to the Netherlands.

Three people have died since the outbreak began, and six people have been infected, WHO spokesperson Sarah Tyler said Monday. She said one person from the U.S. showed inconclusive lab results.

The Hondius left the southern Argentine port of Ushuaia on April 1 and a Dutch passenger died on board April 11. It wasn't until early May that the World Health Organization said it was reacting to a suspected hantavirus outbreak on the ship, which by that time was off the West African island nation of Cape Verde.

Health officials say risk to public is low

Hantavirus usually spreads from rodent droppings and is not easily transmitted between people. But the Andes virus detected in the cruise ship outbreak may be able to spread between people in rare cases. Symptoms — which can include fever, chills and muscle aches — usually show between one and eight weeks after exposure.

READ MORE: Medical epidemiologist explains what to know about the cruise ship hantavirus outbreak

WHO Director-General Tedros Adhanom Ghebreyesus said Sunday that the general public should not be worried about the outbreak. "This is not another COVID. And the risk to the public is low. So they shouldn't be scared, and they shouldn't panic."

WHO is recommending that passengers' home countries "have active monitoring and follow-up, which means daily health checks, either at home or in a specialized facility," said Van Kerkhove, the organization's top epidemiologist.

Numerous countries have said their people will be quarantined or hospitalized for observation.

The ship's captain, Dobrogowski, said his thoughts "are with the ones that are no longer with us, and whatever I say will not ease this loss, but I'd like you to know that they are with us every day in our hearts and our thoughts."

Jamey Keaten in Geneva contributed reporting.