Mum Mel says the response has been overwhelming
Local officers are carrying out increased patrols to offer a visible presence and to speak to members of the community about any concerns they have.
Mounted police officers are also in the area.
Police were called at around 6.30pm to the Hexthorpe Road area following an altercation between a group of Slovakian men and a group of Polish men.
Four men who were arrested yesterday remain in police custody in connection with the incident.
Two men who were injured are continuing to receive hospital treatment.
Superintendent Natalie Shaw, who is responsible for policing in Doncaster, said:
'Incidents of this nature are relatively rare but we understand that they can have a huge impact on the local community.
'We have increased the number of officers patrolling in the Hexthorpe area to offer a visible presence and reassurance to the community.
'I would encourage members of the public to approach officers if they have any information or concerns.
'We will take robust action against anyone who involves themselves in these types of incidents.
'We are committed to keeping people safe from harm and will work together with other agencies to take positive action against those responsible.'
Anyone with information is asked to call South Yorkshire police on 101 or Crimestoppers anonymously on 0800 555 111.