Hurricane Ian continued to intensify Monday night, with maximum sustained winds now at 105 mph.

The hurricane is about 105 miles east-southeast of the western tip of Cuba, which is expected to see significant wind and storm surge impacts soon.

The storm is expected to become a major hurricane overnight or Tuesday morning.

-ABC News' Melissa Griffin

Tampa International Airport will stop all operations starting 5 p.m. Tuesday to secure its airfield and terminals ahead of Hurricane Ian's expected landfall later this week.

The U.S. Department of Health and Human Services has declared a public health emergency for the state of Florida.

HHS Secretary Xavier Becerra made the declaration Monday to address the possible health impacts for Florida residents once Hurricane Ian nears the state.

"We will do all we can to assist Florida officials with responding to the health impacts of Hurricane Ian," Becerra said in a statement. "We are working closely with state, local, and tribal health authorities, as well as our federal partners, and stand ready to provide additional public health and medical support."

HHS has pre-positioned two 15-person health and medical task force teams from its National Disaster Medical System, as well as a 13-person incident management team and two pharmacists to assist with the response in Florida.

"These teams are highly trained and ready to respond if, when, and where they may be needed following the storm," HHS Assistant Secretary for Preparedness and Response Dawn O’Connell said.

Florida Gov. Ron DeSantis declared a state of emergency on Saturday. That declaration was approved by President Joe Biden on Sunday.

The National Hurricane Center has issued a hurricane warning for the Tampa Bay area just after its 5 p.m. advisory for Hurricane Ian.

The hurricane, currently a Category 2, is forecast to strengthen before it slows down as it approaches land. It is then expected to hover off the coast of Tampa from Wednesday into Thursday before making landfall.

A hurricane watch has also been issued for Big Bend, Florida, near the panhandle, and tropical storm warnings are in effect for much of southwest Florida.

Tropical storm watches are in effect for Orlando toward the northeast portion of the state, from Fort Pierce to Jacksonville.

-ABC News' Melissa Griffin

Caribbean islands such as Jamaica and Grand Cayman will start to experience the effects from the outer bands of Tropical Storm Ian within the next 24 hours, forecasts show. The islands will experience conditions such as heavy rain, possible flash flooding and storm surge.

The storm system will begin to rapidly intensify overnight into Monday before it closes in on western Cuba on Monday night.

As of 2 p.m., the sustained winds in the tropical storm remained at 50 mph as it moved west-northwest at 12 mph, the center about 265 miles away from Grand Cayman.

Hurricane warnings are in effect for Grand Cayman and western Cuba, while tropical storm warnings and watches are in effect in other portions of both islands.

As a hurricane, Ian is expected to peak at a Category 4 before weakening slightly as it looks to make landfall on the west coast or panhandle of Florida in the coming days.

There is still some uncertainty to the track Ian will take once the system enters the Gulf of Mexico.

The center of the storm and the worst of the impacts could end up heading toward the western coast of Florida's peninsula, including the Tampa area. The other possible scenario has the storm moving more due north and bringing a possible landfall along the Florida peninsula, impacting cities like Panama City and Tallahassee with more direct effects.

The storm will begin to impact the Florida keys and the southern portions of the state by Tuesday night.

-ABC News' Dan Peck