"A single case of Ebola is an outbreak and containing it is very important," says Yonas Tegegn Woldemariam, the World Health Organisation Representative in Uganda.
"We have been preparing for this for the past 10 months. It doesn’t diminish the seriousness whether it is in one country or two," Woldemariam told RFI.
The Ebola virus crossed from the Democratic Republic of Congo into Uganda last week, killing at least two people.
Uganda has had five previous Ebola outbreaks, all of which were indigenous.
This sixth outbreak is the first case involving cross-border infection. It was provoked after a Congolese woman and her family travelled to DRC to care for the woman's dying father and then returned to Uganda.
The woman's five-year-old son and 50-year-old mother died. The boy's brother, aged three, is also infected, and several family members are in isolation.
Mass gatherings, including market days and prayers, have since been cancelled. Kampala has kept its border with the DRC open.
"Uganda is a very open society, it allows its neighbours to travel here, and having relatives on the other side of the border is common," says Woldemariam.
Screening has been stepped up at border points, where people coming in are urged to wash their hands with chlorinated water or have their temperature taken.
However, the Red Cross has warned that people are continuing to enter the country through back routes instead of passing through official checkpoints.
"We have invested in what we call a community-based surveillance system where village health teams are briefed and their capacity built to identify signs and symptoms of Ebola," explains Woldemariam.
"In the last 10 months, Uganda has tested six times the number of people for Ebola than they would in any given year," he adds.
Efforts to contain the spread have been more challenging in neighbouring DRC, because of militia group violence and suspicion of foreign medical assistance.
"In Uganda, we use local health professionals, so we are not just coming from outside trying to solve the problems; it is the local system which is addressing this issue so the local ownership is there," Woldemariam said.
The World Health Organization was heavily criticised in the past for its slow response during the 2014 ebola epidemic in West Africa that claimed 11,300 lives.
Woldemariam reckons the disease can be contained if managed properly.
"People should be concerned but not panic. If they know the signs and symptoms, [cough, fever, vomiting] if they wash hands, if they keep their distance from a sick person; or if, by any chance, they touch that person they should go immediately and wash their hands."
Woldemariam says the basic message is very simple: although it’s a scary disease, Ebola is controllable and can be defeated.