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Paladin National Stalking Advocacy Service founder Laura Richards started the petition which has accumulated over 232,000 signatures.
"We need to act now to save lives by protecting women from serial stalkers and domestic violence perpetrators by extending the Multi-agency Public Protection Arrangements to ensure that police, prison and probation services pro-actively identify, track, monitor and manage serial perpetrators," explains Laura in the petition's description.
The Multi-agency Public Protection Arrangements (MAPPA) is the process through which various agencies including the police, the prison service and probation work together to protect the public by managing the risks posed by violent and sexual offenders living in communities.
Laura adds: "We need a cultural shift which will only be obtained through law change, one where we treat stalking and domestic abuse with the seriousness it deserves."
The petition references the murder of Kirsty Treloar, who was just 20-years-old when she was stalked and killed.
She was stabbed 29 times by her boyfriend Myles Williams, 19, who was convicted and sentenced to life in prison in 2012.
Jane Clough's murder is also mentioned. The A&E nurse was just 26-years-old when her partner Jonathan Vass - who stalked her by monitoring her Facebook account - stabbed her 71 times in the hospital car park where she worked. He was jailed for life in Blackpool in July 2010.
An amendment to the Domestic Abuse Bill is being considered by the House of Lords. It proposes that serial stalkers are put on the same register as sex offenders and violent offenders, The Guardian reports.
The Sunday Times said the move to make a stalkers' register was seen by ministers as a key practical change that could help information sharing across the police.
It would in theory log the details of men who are convicted of offences including harassment, stalking and coercive control.
The calls for a register for stalkers comes in the wake of the suspected murder of Sarah Everard, whose remains were found in Kent woodland after she set off walking home from a friend's house in south London.
The suspect, Wayne Couzens, is currently in custody charged with the murder and kidnap of Sarah.
If you need to report abuse, you can call the National Domestic Abuse Helpline on 0808 2000 247, or visit the organisation's website and discreetly fill out a form.
For those in immediate danger, and in need of a 'silent solution', calling 999 and dialling in the number 55 will also alert the authorities you need help.
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