Modelling Poisson "Point" Process and data transmission with Poisson process

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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 $\lambda'_c = \lambda_c\times\lambda_u$ ?

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I think this seems more like clustering problem. I am no expert, but the link here may help you.