Detective Superintendent Mark Cooper, the head of Dorset’s Major Crime Team said: “Dean, I urge you to hand yourself in, for your own safety and the sake of your family. They are very worried about you.”
The police are concentrating their search in the local areas where Goodwin is from and still has family.
Around 40 dedicated detectives are involved as well as an unspecified number of uniformed officers, some from the firearms unit.
Detective Supt Cooper added: “Every single police officer in the force has been briefed.
“I have full resources of the organisation at my disposal.
“My message to the public is to be cautious, not to approach him but to dial 999 or the two numbers that have been publicised through the Daily Echo.”
He said Goodwin was wanted as a suspect in a “very violent offence”.
And he urged Goodwin to hand himself into the nearest police station immediately.
Colleague DI Marcus Hester said the assault on the young woman had been “particularly nasty”.
“We very quickly identified who we believe the offender for that assault is and that is Dean Goodwin.
“We are concentrating on the Dorset conurbation – Poole and Bournemouth and suburbs of those two towns.”
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