* Death toll tops 2,000; confirmed & probable cases above 3,000
* Teams struggling to curb virus in remote, conflict-hit areas
* Congo girl dies in neighbouring Uganda
* Community mistrust also a problem for health workers
* https://graphics.reuters.com/HEALTH-EBOLA-CONGO/010081G62NR/index.html (Adds data on infection rate, quote, background)
By Djaffar Al Katanty and Aaron Ross
GOMA, Democratic Republic of Congo, Aug 30 (Reuters) - The death toll from Democratic Republic of Congo's year-long Ebola outbreak has climbed above 2,000, government data showed on Friday, as responders battle to overcome community mistrust and widespread security problems.
The death in neighbouring Uganda of a 9-year-old girl who had tested positive for the virus after entering the country from Congo underscored the challenge medical teams face containing the disease in border territory with a highly mobile population.
The government team overseeing the response said the number of confirmed and probable cases had also hit a milestone of more than 3,000 in what has become the second-worst epidemic of the virus on record.
Despite the development of an effective vaccine and treatments, health workers have struggled to stop the virus spreading in remote and conflict-hit areas of eastern Congo, where many locals are wary of the response effort.
Nevertheless, the World Health Organization said the latest Uganda case highlighted the border authorities' skill at detecting and isolating potential sources of transmission.
"This case was picked up at the border," WHO spokeswoman Fadela Chaib said at a briefing in Geneva. "The people who are at the borders have the expertise."
This is Congo's 10th Ebola outbreak, but it is the first in the densely forested hillside provinces of North Kivu and Ituri, where militia-led violence and ethnic killing have undermined security in certain areas for decades.
The WHO declared the epidemic an international health emergency in July - only the fifth outbreak to warrant this status since the system was introduced in 2005.
The authorities have since come up against new fronts in their fight to contain the virus, testing the reach and flexibility of responders.
Health workers confirmed the first cases in South Kivu province on Aug. 16. Soon after, a woman contracted the virus in a remote, militia-controlled territory in North Kivu, hundreds of kilometres away from other known cases.
"The response is being spread too thin chasing new cases at the expense of the longer-term community engagement that is crucial if we're ever to hope of being Ebola free," Oxfam's Congo Director Corinne N'Daw said in a statement.
Despite the virus spreading to new areas, the past week's transmission rate was little changed from that of the past month and a half, which has seen an average of 77 new cases per week, according to the WHO.
Last week the WHO voiced concern about the widening geographic reach of the disease, but confirmed the virus had not gained a foothold in the major city of Goma, even after four cases were recorded there in July and early August.
Goma, a lakeside city of nearly 2 million people on the Rwandan border, had been on high alert for weeks after a gold miner with a large family infected several people with Ebola before dying himself.
The latest government data showed Ebola deaths reaching 2,006 and cases at 3,004.
"Two thousand deaths means that there is a problem," said Timothée Buliga, a priest, returning home from his church in Goma. "We need to reach the point where we reject Ebola, say no and eradicate it definitively."
Only the 2013-2016 Ebola outbreak in West Africa has been deadlier than the current outbreak. More than 11,300 people died then out of the 28,000 who were infected. (Additional reporting by Tom Miles and Stephanie Nebehey in Geneva; Elias Biryabarema in Kampala; Writing by Alessandra Prentice; Editing by Kirsten Donovan and Hugh Lawson)
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