NORTH MASSAPEQUA, N.Y. (CBSNewYork) — Multiple incidents of flashers in the woods have left women on Long Island on edge.

As CBS2’s Carolyn Gusoff reported, police said there were two more incidents on Sunday inside the Massapequa Preserve. They came after Nassau County police arrested a man for allegedly exposing himself to a woman inside the same park.

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The beautiful preserve was suddenly flooded with law enforcement in the wake of the incidents.

Eileen Brown is no helpless jogger. She is an off-duty police officer who runs through the Massapequa Preserve – ready to spring into action if she comes across a partially-clothed flasher.

“A lot of us running here are off duty, so if someone’s coming again, they should probably look out,” Brown said.

On-duty officers were also dispatched in patrol cars along the bike path, as well as on foot. Some were in plain clothes, others in uniform – on the lookout for as many as two more flashers.

A 51-year-old woman was on an afternoon jog Sunday when he was startled by the man jogging past her. He was naked from the waist down.

Moments later on the other end of the park was a second bottomless man.

The men had different descriptions and were wearing different colored hoodies, police said.

“We do not think that was the same person,” said Nassau County police Lt. Richard LeBrun. “The proximity of times – one of them occurred at 3:24 in the afternoon and the other occurred at 3:30 – almost impossible to be able to go from one location to the next.”

Police believe they could be copycats from a similar scare this past Wednesday.

A mother of two named Maria was rollerblading when she said a half-naked man stopped her in her path – wearing only a hoodie. She said he was exposed and frightening.

“I’m completely startled, and shocked, and not quite sure what’s going on. I process and realize he’s not being harmed, he’s here to do something to me,” the woman, named Maria, said. “He starts to eye me up and down, and look me around, and maintain this creepy aggressive eye contact with me.”

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A biker came to the woman’s aid, and they called 911.

On Friday, police charged Andrew Parrucci, 57, of Amityville, with public lewdness in connection with a similar incident.

The incidents had many parkgoers unnerved.

Jogger Gaylynn Innes said she comes prepared for her runs.

“I carry a knife and a few things with me,” she said. “I have a whistle and I have a knife that just pops open.”

“It’s disconcerting,” one woman said.

“It is very strange,” said another woman, who said the incidents won’t stop her from going to the park. “I know there’s some activity that’s not good here. But what can you do? That’s everywhere. It’s very sad. I try not to think about it.”

Police advise that runners in the park should not use earbuds, and should run with a phone and a partner.

The two incidents on Sunday happened near Clarke and Linden, on opposite ends of the park.

In one of the incidents, the suspect is described as a black man, 5′ 10″ tall, 40-50 years of age with a skinny build, black hair and facial hair. Police said he was wearing a dark green zip up sweatshirt with a hood covering his face.

There was also an incident a month ago, but no one has been charged in that case.

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Anyone with information is asked to call Nassau County Crime Stoppers at (800) 244-TIPS.