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Rowe was bailed again but he went missing and a manhunt was launched to track him down and he was eventually arrested in Wallsend where he was using a false name.
The case, which is due to last six weeks, continues.
Caroline Carberry, prosecuting, said Rowe was diagnosed HIV positive in Edinburgh in April 2015 and had initially been taking retroviral drugs to inhibit the virus.
The treatment helps ensure HIV cannot damage the immune system and should mean the likelihood of transmitting the disease is extremely low.
Rowe, who is originally from Edinburgh and appeared in court wearing a blue suit and tie, denies all charges.
The men he had sex with are unable to be named for legal reasons.
But when the two meet one night, each having just bailed on a going-nowhere rendezvous, they find themselves accidentally having an actual date: a drink-'til-the-bar-closes, walk-around-'til-dawn, collapse-into-intimacy epic that leads immediately to something with all the signs of being real.
Rowe would exchange a series of messages with the men before meeting up with them at their homes where they would have sex.
Miss Carberry said: 'Daryll Rowe embarked on a cynical and deliberate campaign to infect other men with HIV, having high risk sexual intercourse knowing he was highly infectious.
Shortly after his diagnosis Rowe, who had also been infected during a casual hook-up, moved to Brighton, East Sussex.
Although he initially had nowhere to live or stay he began to make contact with men on the gay dating app, Grindr.
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One victim, who was sexually inexperienced, only found out he had HIV when he began to feel feverish and ill.