Officers have said they are "extremely concerned" for the welfare of a "vulnerable" mother and her two children who have gone missing.
Cheryl Durkey, 47, and her sons Chepael Maddix, 8, and Chander Paul Maddix, 7, disappeared from their home in Erith in Bexley at around 9am on January 17.
Police have said it was "out of character" for Cheryl to go missing and that they are worried about her "health and wellbeing".
They added that they are very concerned for the "safety and welfare of her children" and are urgently appealing for the public's help to locate the family.
Cheryl is described as black; around 5ft 9ins with a medium build and dark curly hair.
Chepael and Chander are described a black and very slim with shaven heads.
Cheryl, Chepael and Chander were last seen at a family address in South Norwood at around 9am on Wednesday, January 18, officers said.
They have not been seen or heard from since, though it is believed that Cheryl is using public transport to travel.
Police said: "it is possible that Cheryl and the boys have been frequenting the Greenwich, Lewisham and South Norwood areas."