"M23 has been crossed off the list and now the military has its sights on the FDLR," Mende told journalists.
About 100 M23 fighters have been captured by government forces. M23 leader Sultani Makenga and other high-ranking officials within the movement are now on the run and are believed to have fled into neighboring Rwanda or Uganda, Mende said.
The announcement of M23's demise came after the Congolese military backed by United Nations forces stepped up its offensive against the rebels last month as peace talks once again stalled. The Congolese military rapidly seized control of more than a half dozen towns in just a matter of days, and Mende said Tuesday they had finally recaptured the last two remaining rebel areas of Chanzu and Runyonyi.
M23 President Bertrand Bisimwa said in a statement early Tuesday that he was ordering rebel commanders to "prepare troops for the process of disarmament, demobilization and social reintegration on terms to be agreed upon with the Congolese government."
Residents of Goma, a city of 1 million people that the M23 briefly overtook one year ago, expressed cautious optimism that the end of M23 could stabilize the area wracked by a myriad of rebel groups and militias.
"That they put down their arms and stopped fighting is a good thing. We are liberated but I'm not sure it's the end of the M23," said Diane Wamahoro, a 20-year-old waitress.
Ida Sawyer, a senior researcher with Human Rights Watch in eastern Congo, called the M23's declaration "a significant and positive step forward." The group has documented dozens of killing and rapes blamed on M23 since it announced its formation last year.
"There are huge challenges ahead and one will be the arrests and bringing to justice of those responsible for serious abuses," she said.
Jason Stearns, a Congo expert, wrote on his blog Congo Siasa that the Congolese military had been performing better than it did in 2012 and also had benefited from the U.N. mission, which helped plan the latest operations against the rebels.
"But it may be the third factor that was the determining one--the absence of support from Rwanda," Stearns wrote. "According to several reports from the front lines, despite indications of some cross-border support in the Kibumba area, the M23 was largely left to its own devices."
M23 is widely believed to have received military and financial support from the government of neighboring Rwanda, whose president is also Tutsi. Rwanda denies having aided the rebels despite evidence laid out in a report by a United Nations group of experts. However, that support appears to have waned in recent months amid growing international pressure for it to stop fueling Congo's troubles with rebels.
M23 launched its movement in April 2012, accusing the government of failing to live up to its end of the bargain on a March 23, 2009 peace agreement. Many of its leaders came from another ethnic Tutsi rebel group known as the CNDP that had effectively been neutralized.
The M23 rebels briefly seized control of Goma in November 2012 before retreating under international pressure.
In the aftermath of the Goma siege, internal divisions mounted within M23. The group was substantially weakened after its leader Bosco Ntaganda turned himself in to face charges at the International Criminal Court earlier this year.
As M23 fighters flee, Sawyer said regrouping and rebranding again as the Tutsi rebels have before could prove challenging in light of the shifting landscape.
"It's possible there will be another reiteration of a Rwandan-backed rebellion in eastern Congo, but I think it's probably going to be a lot harder the next time around," she said.
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Larson reported from Dakar, Senegal. Associated Press writers Joseph Kay in Goma, Congo and Christopher Torchia in Johannesburg contributed to this report.