Each time you die in a short amount of time the counter increases it is meant to punish people who keep dying to much. Only way to avoid it to stop dying a lot in a short period of time. The timer does not increase if you go long periods of time between death.
whenever i notice someone in a pug dying too much, i just leave.
[12:35] Vessel Two of Two Unimatrix 01 deals 225232 (271723) Plasma Damage to you with Plasma Lance.
[12:44] Vessel One of Two Unimatrix 01 deals 1019527 (1157678) Kinetic Damage to you with Plasma Energy Bolt Explosion.