Two people have been admitted to a Scottish hospital as a precaution after returning on Tuesday from Mexico.
Eighty-one people in that country have died from swine flu.
Deputy First Minister and Health Secretary Nicola Sturgeon said there was no risk to public health.
Ms Sturgeon said: "There are no confirmed cases of swine flu in the UK or elsewhere in Europe; however some travellers who had returned from Mexico are undergoing assessment.
“This includes two people who have been admitted to a Scottish hospital for precautionary assessment, who returned from Mexico on April 21 but had not travelled in any areas affected by the outbreaks. “Precautionary tests are being conducted on these people and results of these further tests are expected later this weekend, or early next week.
“The patients have displayed mild flu-like symptoms and their current condition is not causing concern.
“Monitoring of those who have been in close contact with the two people is also being carried out as an additional precaution.
"There is no immediate threat to public health in Scotland. The WHO Influenza Pandemic alert phase remains unchanged at three.
"As a sensible, precautionary measure the Scottish Government resilience room has been opened and is working closely with London to monitor the situation.”
The World Health Organisation describes swine flu as “a highly contagious acute respiratory disease of pigs, caused by one of several swine influenza A viruses.
“Although swine influenza viruses are normally species specific and only infect pigs, they do sometimes cross the species barrier to cause disease in humans.”
The virus has already caused a reported 81 deaths in Mexico. New York City authorities have also confirmed cases of the illness amongst students at a high school in the city.
Eighty-one people in that country have died from swine flu.
Deputy First Minister and Health Secretary Nicola Sturgeon said there was no risk to public health.
Ms Sturgeon said: "There are no confirmed cases of swine flu in the UK or elsewhere in Europe; however some travellers who had returned from Mexico are undergoing assessment.
“This includes two people who have been admitted to a Scottish hospital for precautionary assessment, who returned from Mexico on April 21 but had not travelled in any areas affected by the outbreaks. “Precautionary tests are being conducted on these people and results of these further tests are expected later this weekend, or early next week.
“The patients have displayed mild flu-like symptoms and their current condition is not causing concern.
“Monitoring of those who have been in close contact with the two people is also being carried out as an additional precaution.
"There is no immediate threat to public health in Scotland. The WHO Influenza Pandemic alert phase remains unchanged at three.
"As a sensible, precautionary measure the Scottish Government resilience room has been opened and is working closely with London to monitor the situation.”
The World Health Organisation describes swine flu as “a highly contagious acute respiratory disease of pigs, caused by one of several swine influenza A viruses.
“Although swine influenza viruses are normally species specific and only infect pigs, they do sometimes cross the species barrier to cause disease in humans.”
The virus has already caused a reported 81 deaths in Mexico. New York City authorities have also confirmed cases of the illness amongst students at a high school in the city.
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