  We theoretically investigate three-body losses in a single-component Fermi
gas near a $p$-wave Feshbach resonance in the interacting, non-unitary regime.
We extend the cascade model introduced by Waseem \textit{et al.} [M. Waseem, J.
Yoshida, T. Saito, and T. Mukaiyama, Phys. Rev. A \textbf{99}, 052704 (2019)]
to describe the elastic and inelastic collision processes. We find that the
loss behavior exhibits a $n^3$ and an anomalous $n^2$ density dependence for a
ratio of elastic-to-inelastic collision rate larger and smaller than 1,
respectively. The corresponding evolutions of the energy distribution show
collisional cooling or evolution toward low-energetic non-thermalized steady
states, respectively. These findings are particularly relevant for
understanding atom loss and energetic evolution of ultracold gases of fermionic
lithium atoms in their ground state.
