A Team Captain can login to their EventDog participant account and mange their team. HERE is a link to Participant Login.
Here, the captain can edit the team name, change the team invitation status and invite team members to join.

Understanding Team Invite Status
A Team Captain can set the team invite status as:
Public
Anyone can join the team in the Select Team drop list on the registration page.
Anyone with Link
Anyone who is forwarded a copy of the invitation link can register for your team. There is no limit to the number of people who can sign up for a team.
Invite Only
Each invitation sent out is good for one registration per email address.
NOTE: People who share email addresses will not be able to register using the same email as the invitation will fail once an email has been used to register.
NOTE: People who share email addresses will not be able to register using the same email as the invitation will fail once an email has been used to register.