A 14-year-old boy was arrested at his home in Cambridge around 11:30 pm, while another 14-year-old boy and a 17-year-old boy were arrested at their South Cambridgeshire homes around midnight, Cambridgeshire Constabulary said. .
All were arrested on suspicion of murder and remain in custody in Peterborough.
Local businesses told The Telegraph that officers had asked to check their CCTV footage as part of the murder investigation.
Staff at the nearby Haymakers pub said: “It’s a pretty nice area. It’s not the kind of place you expect. When it happened, it was a shock.”
Nearby, a Chesterton Working Men’s Club staff member added: “It’s a small nature reserve and they have some fitness equipment there. It’s an outdoor gym and it’s a nature reserve.”
Asked if there had been any violence in the park before, he said: ‘Never, it’s quite a safe place, Cambridge. It is of course a shock.”
A spokesperson for Friends for Logan’s Meadow said: “We are devastated to hear of a fatal stabbing at Logan’s Meadow.
“Our condolences and thoughts are with the young man’s family and friends.”
‘It’s not a crime black spot in any way’
Naomi Bennett, a local councillor, told The Telegraph: “Logan’s Meadow is a lovely spot just north of the River Cam in the quiet suburb of Chesterton. There are picnic benches and on summer evenings people sit out there.
“In November it is quite quiet. Occasionally, open-air picnics can run a little late and there may be some noise. But it is by no means a crime black mark.”
She added: “Residents are angry that a 17-year-old has died and our thoughts are with the family. When we were in the Riverside area it was the week before the incident and most of the residents just wanted to talk to us about bus problems.”
Detective Carl Foster, from the Bedfordshire, Cambridgeshire and Hertfordshire major crime unit, said: “We believe there were members of the public on the scene who spoke to paramedics but left before our officers arrived. I appeal directly to these people to contact us, please.
“I urge anyone with information to contact us urgently.”
He previously said that police believed the attack was targeted.
A police spokesman told The Telegraph that two of the suspects lived in villages in the southern Cambridgeshire district, adding: “Although we are open we believe the victim and those arrested knew each other.”