As many as 11,000 people fled Syria in 24 hours, some of them desperately clambering through a razor-wire fence into Turkey on Friday to escape fierce fighting between rebels and government forces for control of a border town.

The exodus is a sign of the escalating ferocity of the violence, which has killed more than 36,000 people since March 2011. Despite the bloodshed, embattled President Bashar Assad insisted there was no civil war in Syria, saying in a rare TV appearance that he was protecting Syrians against “terrorism” supported from abroad.

The flood of Syrians into neighbouring Turkey, Jordan and Lebanon was “the highest that we have had in quite some time,” said Panos Moumtzis, the U.N. refugee agency’s regional coordinator for the region.

About 2,000 to 3,000 people are fleeing Syria daily, and the recent surge brings the number registered with the agency to more than 408,000, he said.

During the 24-hour period that began on Thursday, 9,000 Syrians crossed into Turkey including 70 who were wounded and two who then died, U.N. officials said. Jordan and Lebanon each absorbed another 1,000 refugees.

The largest flow into Turkey came from the fighting at Ras al-Ayn in the predominantly Kurdish oil-producing northeastern province of al-Hasaka. The town hugs the border, practically adjacent to the Turkish town of Ceylanpinar.

On Thursday, rebels captured a border crossing between the two towns, Ceylanpinar’s mayor, Ismail Aslan, told The Associated Press by telephone.

Rebels on Friday overran three security compounds in the town belonging to the military intelligence, air force intelligence and general intelligence directorate agencies, according to the Britain-based Syrian Observatory for Human Rights, an opposition activist group.

More than 20 soldiers were killed in the fighting, the Observatory said.

Regime forces shelled rebel positions on Friday morning, Aslan said. Regime tanks were also moving in to join the fight, according to another opposition activist group, the Local Coordination Committees.

Syria’s more than 2 million Kurds, long marginalized, have largely stayed out of the fighting, although some have taken part in demonstrations against Assad. But like other minority groups, they have increasingly been drawn into the fighting.

The rebel push on Ras al-Ayn, an ethnically mixed town inhabited by Kurds, Arab Muslims and Christians, was likely to inflame tensions with the Kurds who fear a government offensive to flush out the fighters.

Video from Turkey’s Anadolu news agency showed Syrians jumping over and climbing through the razor-wire fence on the 911-kilometer (566-mile) border to cross into Ceylanpinar.

Others fled into Turkey farther west along the border, trying to escape fighting at the Syrian town of Harem in Idlib province, which has seen intense battles in recent days.

The new arrivals bring the number of refugees in Turkey to around 120,000.

Radhouane Nouicer, the U.N.’s regional humanitarian coordinator for Syria, said the country is seeing unrelenting increases in violence, suffering, displacement and loss, “and civilian Syrians continue to pay the price.”

The Anadolu agency reported a group of Syrian soldiers, including two generals and 11 colonels, had fled to Turkey with their families and were taken to a camp for military defectors, including dozens of other generals.

In the interview by broadcaster Russia Today and aired Friday, Assad struck a defiant tone.

“We do not have a civil war,” he said, speaking in English. “It is about terrorism and the support coming from abroad to terrorists to destabilize Syria. This is our war.”

Asked if he has any regrets, he said- “Not now,” although he acknowledged that “when everything is clear” it would be normal to find some mistakes.

Assad, 47, insists that there has been no popular uprising in his country and said he will not step down, hinting he will stay in his post until at least 2014, when elections are scheduled.

“I think for the president to stay or leave is a popular issue,” he said.

The conflict began largely with peaceful protests of Assad’s rule but turned bloody after rebels took up arms in response to the regime’s crackdown. Rebels have driven regime forces out of much of a pocket of northwestern Syria and battle troops in several cities and towns, even as the fight takes on dangerous sectarian tones between a mainly Sunni opposition and a regime dominated by Assad’s minority Allawite sect.

Assad, who came to power after his father and predecessor Hafez died in 2000, said in a portion of the interview released Thursday that he will “live and die” in Syria and will not leave his country.

The Observatory said at least 120 people were killed in violence across the country Friday, including 18 who died in intense shelling of the eastern town of Qouriyeh in the Deir el-Zour province, which borders Iraq.

A car bomb near the mayor’s office in the Damascus suburb of Maadamiyeh killed at least four people, the Observatory said.

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