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We augment standard branching Brownian motion by adding a competitiveinteraction between nearby particles. Informally, when particles are incompetition, the local resources are insufficient to cover the energetic costof motion, so the particles' masses decay. In standard BBM, we may define thefront displacement at time $t$ as the greatest distance of a particle from theorigin. For the model with masses, it makes sense to instead define the frontdisplacement as the distance at which the local mass density drops from$\Theta(1)$ to $o(1)$. We show that one can find arbitrarily large times $t$for which this occurs at a distance $\Theta(t^{1/3})$ behind the frontdisplacement for standard BBM.

The front location in BBM with decay of mass