Ruwayda al-Aqaar was sleeping next to her husband and 3-year-old daughter in late December when they were awakened by the sound of approaching tanks and bulldozers. They rushed outside their small house and saw dozens of Israeli soldiers marching into their small farming village, she said.

“I was terrified,” Ms. al-Aqaar said recently in her home in the village of Suwaisah, in southeastern Syria, as her daughter watched “Tom and Jerry” cartoons. “We were afraid of being displaced and forced to leave our homes.”

For weeks, the family and their neighbors feared that Israeli forces would target their village after carrying out similar incursions into towns nearby. Just days after a coalition of Syrian rebels ousted President Bashar al-Assad in early December, Israel invaded border villages in Syria in what it described as temporary measures to protect its own security.

But the Israeli raids continued throughout January and into February, raising fears among Syrians that the incursions could become a prolonged military occupation. The Israeli troops have been targeting villages, particularly ones with military outposts.

In Suwaisah, the Israeli soldiers tore down a small military outpost that had been abandoned by Syrian troops who took their weapons with them after the Assad regime fell. And the Israelis demanded that residents hand over any weapons they may have had. This account of what happened is based on interviews with more than a dozen residents of Suwaisah and Al-Dawayah Al-Kabirah, a nearby village that was also raided, as well as photographs they shared from cellphones.

Suwaisah is a village of mostly one-story homes, its residents mostly farmers and herders. It was a little past 7 a.m. on Dec. 25 when the Israelis entered the village and were met by dozens of adults and children, residents said. Some of the Syrians tore off olive branches from nearby orchards as a symbol of peace, they said, adding that none of the residents who went out to meet the Israelis carried weapons.

“Syria is free, free,” the villagers chanted at the soldiers, who were armed with semiautomatic machine guns, “and Israel out!”

The Israeli military raids have terrified the villagers, who, like other Syrians, had celebrated the ouster of Mr. al-Assad and gathered in the streets, playing revolutionary songs and waving flags. But in this corner of Syria, the celebrations quickly dissipated into fear of an encroaching foreign army.

“They ruined our joy,” Ms. al-Aqaar said.

This part of southeastern Syria abuts the Golan Heights, territory that Israel captured from Syria during the Arab-Israeli War of 1967 and then annexed. The move is not recognized by most of the world, including the United Nations, which considers the land occupied.

Ms. al-Aqaar, like many Syrians in the region, feared that her village might meet the same fate.

Israel has in recent months seized a demilitarized buffer zone in the Golan Heights and territory in southwestern Syria — including Mount Hermon, the country’s highest point. It has also has carried out hundreds of airstrikes, destroying Syrian military assets, including tanks, weapons production facilities and air-defense systems, according to Syrian monitoring groups.

The Israeli military says it is acting “in order to protect the Israeli border.” Israel has long seen the Golan Heights as important to its security because it sits on the edge of Syria, Jordan and Lebanon, offering an important military vantage point. There is now concern in Israel that the fall of the Assad regime may have left a security vacuum in the area.

Prime Minister Benjamin Netanyahu of Israel has signaled that the military would occupy the lands it has taken for the foreseeable future, “until another arrangement is found that guarantees Israel’s security.”

Israeli forces continue to conduct cross-border incursions into Syria with bulldozers and armored vehicles, according to Etana, a Syrian reporting and analysis organization. On Jan. 16, an Israeli airstrike struck a Syrian government convoy, killing at least two people, including a mayor, according to Etana and another Syrian monitoring group, the Syrian Observatory for Human Rights.

They have raided former Syrian Army bases in the southern provinces of Quneitra and Daraa to demolish property, occupy land and demand residents hand over any weapons, Etana reported.

“This available evidence indicates that Israel may be expanding and entrenching its occupation over areas of Quneitra Province,” the group said in a report in January.

Israel’s recent incursions and taking of the buffer zone in the Golan Heights violates the 1974 agreement between the two countries that followed the end of the 1973 war, according to the United Nations. After that conflict, both sides had agreed that U.N. peacekeepers would monitor a 155-square-mile demilitarized zone between their forces.

The Israeli incursions have been condemned internationally. The United Nations said in January that “Syria’s sovereignty, territorial unity, and integrity must be fully restored.”

And in December, Geir Pedersen, the United Nations special envoy for Syria, called on Israel to halt its “very troubling” military attacks.

Ahmed al-Shara, the leader of Syria’s new government, has criticized Israel for its incursion, saying it was a violation of the 1974 armistice agreement.

Shadi al-Mleihan, a journalist who lives in Suwaisah, said he was among those who confronted the Israeli forces when they entered his village in December.

“We have been in a war for nearly 14 years,” he said. “We don’t want another war.”

In addition to destroying the outposts, the soldiers demanded that residents hand over any weapons in the village, Mr. al-Mleihan and other villagers said.

“They said you need to announce from the mosque speakers that we want all the weapons and if you won’t we have a megaphone,” Badir al-Krayat, Ms. al-Aqaar’s husband, said the soldiers told them. “We said, ‘We don’t have weapons; we are farmers.’”

As villagers confronted some soldiers, other troops were leveling the outpost, some olive trees and a small municipal building, several residents said. Two hours later, the soldiers withdrew toward Al-Dawayah Al-Kabirah, setting their sights on another abandoned Syrian military outpost there, residents said.

There, villagers gathered around the former outpost and sat on top of other structures in an effort to prevent the Israeli forces from destroying them. Then, according to multiple residents and a human rights group, Israeli troops fired on unarmed civilians.

At least five civilians, including a child, were wounded, according to residents and the British-based Syrian Observatory for Human Rights.

The Israel military said it “does not target its operations against civilians or civilian infrastructures.” In response to questions, the military said it “operated near the village in order to neutralize military infrastructures which posed a threat” to its forces.

“Several groups were observed approaching I.D.F. personnel in the area,” the military said. “After calling on the crowd to stand back and maintain a safe distance, individuals continued to advance towards the forces that responded with warning shots solely aimed at the air.”

Khalid al-Aaqal, 17, a high school senior, said he was among those shot in Al-Dawayah Al-Kabirah in late December. He said he and other villagers went to confront the Israeli troops, “and they started shooting” at the villagers’ feet with semiautomatic machine guns.

“We didn’t think they would shoot at us because we didn’t have any weapons,” Mr. al-Aaqal said.

His cousin was shot in the foot, Mr. al-Aaqal and his mother said, and when Mr. al-Aaqal went to rescue him, Mr. al-Aaqal was hit in both legs.

“They drowned our celebrations with their incursion,” said Alaa al-Aawad, 24, who was shot in the ankle and spoke as he lay on a pile of thin mattresses, his left leg propped up on a pillow.

Villagers in Suwaisah and Al-Dawayah Al-Kabirah said they were anxious about what comes next. The Israeli forces have left, but residents said they could still see them moving on two nearby mountain tops that the soldiers have seized.

“We don’t know what their goal is,” Hassan Muhammad, 32, who was one of the protesters who confronted the soldiers in Al-Dawayah Al-Kabirah, said of Israel. “But we as a people, our goal is to protect our lands. We just got rid of one tyrant and we don’t want another to come here and occupy it.”