If a Poisson Point Process (PPP) $\Phi_c$ with density $\lambda_c$ (points/m$^2$) distributed over 2D plane. These points depict the cellular nodes.
Consider every node transmit data on the uplink transmission. This data transmission is random and is modeled as a Poisson process. The data transmission rate is $\lambda_u$ packets/sec each node.
Can we now model the new PPP $\Phi'_c$ with intensity $\lambda'_c = \lambda_c\times\lambda_u$ ?