Mr Walsh is also linked to one male patient who was taken ill in Majorca.
"I would like to thank the NHS for their help and care - While I have fully recovered, my thoughts are with others who have contracted coronavirus", the father and Scout leader said in a statement on Tuesday.
On his way back to the United Kingdom from Singapore, he stopped off at a ski region in France, where five other Britons were subsequently infected with coronavirus, now also known as Covid-19.
Paramedics in full hazmat suits took the family back to Worthing Hospital, where they were tested for the virus.
"I'm happy to be home and feeling well", Walsh said in a statement.
Walsh's wife and two daughters have tested negative for the virus.
So-called "superspreader" cases, where subjects infect multiple people often as they travel between countries and regions, highlight the importance of worldwide cooperation in containing the virus. The research was done after studying around 138 people diagnosed with Coronavirus in Wuhan.
Ireland's National Public Health Emergency Team is meeting to review the latest situation with coronavirus.
"When the diagnosis was confirmed, I was sent to an isolation unit in hospital, where I remain, and, as a precaution, my family members were also asked to isolate themselves".
They include two Global Positioning System, one of them who has been named as Dr Catriona Greenwood, who owns the French chalet with her husband where others caught coronavirus from Mr Walsh. When it learned of cases originating on its property the hotel said it immediately started taking the temperature of its guests, and its staff twice a day.
"There is not a general risk to any patient of the NHS in that area", he told BBC Radio. From there he traveled to a ski resort in the French Alps, before returning to the UK.
"We think probably we are picking up maybe one in three cases coming into the country at the current time. That will give us a proper picture".
The salesman for gas company Servomex then went on a skiing holiday with friends where he spread the virus to at least 11 people including a nine-year-old boy.
Two prisoners at HMP Bullingdon in Oxfordshire who were being held in isolation have been tested for the illness and the results were negative, the PA news agency understands.
"The detection of this small number of cases could be the spark that becomes a bigger fire, but for now it's only a spark", WHO Director-General Tedros Adhanom Ghebreyesus told reporters, adding: "Our objective remains containment".