Prime Minister Benjamin Netanyahu vowed Monday that Israel will take control of "overall security" of besieged Gaza after the war, as the Hamas-run health ministry said the death toll has surged past 10,000.

Resisting calls for a ceasefire, Netanyahu said there would be no letup in the war to destroy Hamas, whose October 7 attack left 1,400 dead in Israel, most of them civilians.

One month since the war began, the Hamas-run health ministry said the death toll in Gaza had surpassed 10,000 people -- more than 4,000 of them children.

With international criticism of Israel's conduct of the war mounting, UN Secretary-General Antonio Guterres said Gaza was becoming a "graveyard for children".

More than 1.5 million people in densely packed Gaza have fled their homes for other parts of the territory in a desperate search for cover, with critical aid only trickling in. (AFP)