(CNN) As Floridians cleared supermarkets of bottled water and emptied gas pumps, people in the northeastern Caribbean were making last minute-preparations before powerful Hurricane Irma hit their islands.

Late Tuesday, the massive Category 5 storm was almost upon islands like Antigua and Barbuda with near-record 185 mph sustained winds. In its 11 p.m. ET advisory, the US National Hurricane Center said the eye of the hurricane was 50 miles from the two islands.

The center of the storm was moving to the west-northwest at 15 mph.

The hurricane center said the extremely dangerous core of Irma would hit the northern Leeward Islands -- which include Antigua and Barbuda, St. Kitts and Nevis, and Anguilla -- Tuesday night or Wednesday morning.

It's too early to tell whether the storm will make landfall on the US mainland, but forecasts show it could turn toward Florida over the weekend.

Forecasters' most immediate concerns are for the people of the northeastern Caribbean, the hurricane center's Michael Brennan said.

"Anguilla, all the way toward (Antigua and) Barbuda, all the way up even toward the British Virgin Islands (are) in grave danger of an eye wall hit at (at least) 150 mph -- that devastates the island, no matter what island it is," CNN meteorologist Chad Myers said Tuesday.

Those islands are under hurricane warnings, as are Puerto Rico, the US and British Virgin Islands, Montserrat, St. Kitts and Nevis, Saba, St. Eustatius, St. Martin/St. Maarten, and St. Barts.

One Twitter user in St. Barts posted a photo of rain coming down and winds beginning to sway the leaves of the palm trees Tuesday evening.

The hurricane center warned the storm is "potentially catastrophic," especially if the worst conditions hit islands at high tides.

Fishermen get boats out of water

Irma's forecast track currently has it near or over Antigua and Barbuda, St. Kitts and Nevis, and Anguilla by early Wednesday, and the British and US Virgin Islands and Puerto Rico on Wednesday afternoon.

The Dominican Republic issued a hurricane warning Tuesday evening that included coastal cities from Cabo Engaño to the northern border with Haiti.

Preparations to protect life and property in those areas "should be rushed to completion," the hurricane center said in an 11 p.m. ET advisory.

These homes on Nikki Beach in St. Barts are deserted Tuesday ahead of Hurricane Irma.

"We could see storm surges of 7 to 11 feet -- that's certainly life-threatening -- and very, very heavy flooding rainfall" in the far northeastern Caribbean islands as well as winds that could cause catastrophic damage near the eye wall, Brennan said.

Hurricane warnings are issued to areas that are expected to experience hurricane-force winds (at least 74 mph).

JUST WATCHED Space station gets a look at Hurricane Irma Replay More Videos ... MUST WATCH Space station gets a look at Hurricane Irma 00:48

On Antigua, home to roughly 80,000 people, fishermen used machines to lift their boats onto docks and other residents flocked to stores to stock up on food and other supplies ahead of the storm, video broadcast by ABS TV Antigua and distributed by Reuters shows.

The US Virgin Islands, with about 100,000 people, declared a state of emergency Tuesday and ordered the National Guard into active service.

John Klein, owner of White Bay Villas & Seaside Cottages on Jost Van Dyke island in the British Virgin Islands, told CNN they were rebooking the guests.

"We have backups for (our utilities), but in a storm of this magnitude it's not best for the guests to be there because they may get stuck," he said.

Computer models show the system possibly near the Dominican Republic, Haiti and the Turks and Caicos Islands on Thursday and Friday, and Cuba on Friday and Saturday -- and potentially turning north toward Florida by the weekend.

Puerto Rico: Long lines

Hundreds of people rushed to the stores, emptying shelves of food and drinking water just as Puerto Rico Gov. Ricardo Rosselló declared a state of emergency and activated the National Guard on Monday.

Crowds wait outside a store in Puerto Rico as Hurricane Irma nears.

For hours, people also lined up outside hardware stores hoping to get plywood, batteries and power generators. If Irma knocks out power, Puerto Ricans said they are worried it would take weeks or months before the power is restored.

"It (power) is something absolutely necessary, especially due to Puerto Rico's weather. We need to have the A/C or a fan on all night," a woman told CNN affiliate WAPA

Last month, the director of Puerto Rico's power utility, Ricardo Ramos Rodríguez, said several factors have made the island's electric system "vulnerable and fragile," WAPA reported.

One of those is the shortage of employees. Many workers recently retired or left their jobs for better prospects on the US mainland, Ramos Rodríguez said.

Public schools and officials at the University of Puerto Rico campuses have canceled classes, and many businesses are closed.

"Make a U-turn and die in the ocean, Irma. The Caribbean islands don't need more problems!" Twitter user mujertropical wrote about the storm.

Make a U-turn and die in the ocean, #Irma. The Caribbean islands don't need more problems! #PuertoRicoSePrepara — mujertropical🌴 (@chattypatra) September 2, 2017

Getting ready in the Sunshine State

While Irma's exact path is uncertain, Florida -- where storm-wary shoppers were standing in long lines outside some stores Tuesday -- is bracing for the storm.

Miami-Dade County will start evacuating special-needs residents on Wednesday, and may announce other evacuations soon, Mayor Carlos Gimenez said.

"I would rather inconvenience our residents" with evacuations than suffer loss of life, Gimenez said.

Schools and county offices are to be closed on Thursday and Friday.

And the state's Monroe County, which includes the Florida Keys, said it will order visitors to evacuate by sunrise Wednesday , and residents should begin to evacuate 12 hours later.

In Florida, people were standing in lines at stores to buy water and other goods on Tuesday.

In Miami, supermarkets and other stores were already selling out of water and nonperishable food.

The @Publix on SW 27 Ave in #Miami is almost sold out of #water. Overheard staffer saying they've gone thru 10 pallets today. #HurricaneIrma pic.twitter.com/uUyaHWJe1i — Tom Martinelli (@firstnameTom) September 4, 2017

"I've been through hurricanes and they're like 'Oh it's going to hit right here' and then it hits 30, 40 miles up the coast and it kind of changes the way everything goes, so better safe than sorry," Greg Andrews told CNN affiliate WPLG.

The lines at Costco in Pembroke Pines appeared to be several hours long, Javier Aragon tweeted.

@nbc6 Hundreds of people lined up outside Costco in #PembrokePines hours ago waiting to get ready with supplies for #HurricanIrma pic.twitter.com/6Zvi2nXV0x — Javier Aragon (@JJAragon_) September 5, 2017

In Clearwater, along Florida's Gulf Coast, a Publix store still was selling six-packs of water but had run out of larger cases, Carrie Hart said. Hart told CNN that workers there were trying to calm shoppers.

On Twitter, she described a "mad run" on the remaining six-packs.

The mad run on 6 packs of water. @publix is out of cases. Expecting more tonight. Store 1300. They are doing their best people. Calm down. pic.twitter.com/MdZuO3vC1m — CarrieTBow (@CarrieTBow) September 5, 2017

"@publix is out of cases. Expecting more tonight. Store 1300. They are doing their best people. Calm down," she tweeted.

Irma could head to Florida by the weekend, Myers said Tuesday.

😲😲 #irma #cat5 #175mph A post shared by Kurt S. (@kfitlifestyle) on Sep 5, 2017 at 6:24am PDT

"Just tremendous damage if we get this storm, this big, over parts of Florida," Myers said.

After declaring a state of emergency across Florida, Gov. Rick Scott said President Donald Trump had "offered the full resources of the federal government as Floridians prepare for Hurricane Irma."

White House Homeland Security Adviser Tom Bossert tweeted that the President had declared emergencies for Florida, Puerto Rico and the US Virgin Islands.

Scott also ordered 7,000 National Guard troops to report for duty by Friday morning. Of those, 100 were activated Tuesday to begin helping with preparations, he said.

"I cannot stress this enough. Get prepared," Scott said at a news conference. "Learn your evacuation zone. Listen to your locals. This storm has the potential to devastate this state. You have to take this seriously."

Near-record winds

Irma has become one of the strongest storms recorded in the Atlantic, and is threatening to slam into Caribbean islands including Puerto Rico and the Virgin Islands with "potentially catastrophic" force on Wednesday, the National Hurricane Center said.

Irma was churning west Tuesday evening in the Atlantic with maximum sustained winds of 185 mph -- well above the 157 mph threshold for a Category 5 , the hurricane center said.

#Irma is only the 5th Atlantic basin hurricane with a peak wind speed of 185 mph or higher. pic.twitter.com/R3hZ2FG94b — NWS Eastern Region (@NWSEastern) September 5, 2017

The last storm with sustained winds that strong in the Atlantic was 2005's Hurricane Wilma , which weakened before it brushed Mexico's Yucatan Peninsula, turned right and crossed Florida. Irma's Atlantic wind speeds are behind only 1980's Hurricane Allen, which peaked at 190 mph at sea

Why Irma could be especially intense

JUST WATCHED Airplane flies straight into Hurricane Irma Replay More Videos ... MUST WATCH Airplane flies straight into Hurricane Irma 00:47

Irma is a classic " Cape Verde hurricane ," meaning it formed in the far eastern Atlantic, near the Cape Verde Islands (now known as the Cabo Verde Islands), before tracking all the way across the Atlantic, CNN meteorologist Brandon Miller said.

And Cape Verde storms frequently become some of the largest and most intense hurricanes. Examples include Hurricane Hugo, Hurricane Floyd and Hurricane Ivan

Another storm, Tropical Storm Jose, is 1,500 miles east of the Lesser Antilles.

"Interests in the Leeward Islands should monitor the future progress of Jose," the hurricane center said.