Sirens resumed Friday across Israel, signaling a fourth day of hostilities between Islamist militants in Gaza and the Israeli army as Egyptian-backed cease-fire talks seemed to stall.

Israel reported striking new targets, including in Rafah near the border with Egypt; several of the militants' rockets were intercepted by air defense systems on the outskirts of Jerusalem, the country's seat of government.

More than 30 people have been killed, including at least six children, and more than 100 injured in Gaza since Israeli airstrikes began Tuesday against the second-largest armed group there, Islamic Jihad. The militants have launched more than 800 rockets this week, killing one Israeli and wounding seven more, after one of their most high-profile representatives died on hunger strike in an Israeli prison.

• Two rockets fired from Gaza toward Jerusalem were intercepted, the Times of Israel reported. Authorities in the Israeli Eshkol region, which borders the Gaza Strip, also said that 15 rockets had been launched at the area. One of them struck a greenhouse. No civilian deaths or injuries were reported.

• At least two people were killed and five wounded in an Israeli strike on a residential building in Gaza, according to the Palestinian health ministry. Among the dead, the IDF said, was Ayeed Alhuseni, the sixth senior Islamic Jihad figure to be killed since Tuesday.

• Israeli Prime Minister Benjamin Netanyahu's office said that senior officials were conducting a fresh security assessment Friday morning.

• The violence has frozen life across Gaza: Israel has closed a key crossing that allows patients to travel for medical treatment in Jerusalem and the occupied West Bank. The Palestinian Red Crescent said Friday that health and humanitarian organizations were running out of fuel and medical supplies needed for lifesaving care.

• Israeli authorities extended restrictions on movement and gathering until 8 p.m. Saturday for those near the Gaza Strip, urging citizens to suspend educational activities and close workplaces, unless they had access to bomb shelters.

• Diplomatic efforts to curtail the fighting continue as governments express concern about the loss of life and the risk of the conflict widening. Although Egyptian media reported that a cease-fire agreement between the two parties had been reached late Wednesday, Israel's public radio station reported Friday that talks have faltered.

• Israel has been wracked with crises since Netanyahu returned to power at the start of this year, helming the most right wing and religiously conservative government in the country's history. The new administration has stepped up raids against Palestinian militants across the West Bank while advancing policies to expand its occupation there.

• The May 2 death in Israeli custody of Khader Adnan, a 45-year-old father of nine and an influential member of Islamic Jihad, inflamed tensions further. Adnan had been on hunger strike for 87 days after spending much of his adult life in prison on terrorism charges.

• Islamic Jihad loosed a barrage of retaliatory rocket attacks; Israel responded with surprise strikes across Gaza early Tuesday that killed at least three of the group's commanders. Two more Islamic Jihad leaders were killed in Israeli strikes Thursday. Although Hamas, the larger militant group ruling Gaza, has publicly pledged support for its smaller rival, it has remained on the sidelines while the confrontation decimates Islamic Jihad's leadership and depletes its arsenal.

• Hamas has a lot to lose by engaging with Israel," said Mkhaimar Abusada, chairman of the political science department at al-Azhar University in Gaza City. If Hamas joined the fray, he said, it would probably mean the revocation of Israeli work permits that thousands of Palestinians in the enclave depend on to make a living.

• Writing in the Israeli daily Yedioth Ahronoth on Friday, columnist Nahum Barnea described Israel's relationship with Hamas in Gaza as "enemy, a partner and a crutch." "IDF officials realized and internalized the unequivocal assessment that if the operation does not last long and get complicated, Hamas will stay out. As of yesterday, that assessment held true," he wrote.