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Based on the Lue-Starkman conjecture on the dynamical screening of the branecosmological constant in the DGP scenario, we extend this proposal to a generalDGP-inspired $F(R,\phi)$ Model. We show that modification of the inducedgravity and its coupling to a quintessence field localized on the brane,affects the screening of the brane cosmological constant and also phantom-likebehavior on the brane. We extend our study to possible modification of theinduced gravity on the brane and for clarification some specific examples arepresented. As a result, phantom-like behavior can be realized in this setupwithout violating the null energy condition at least in some subspaces of themodel parameter space. The key result of our study is the fact that aDGP-inspired $F(R,\phi)$ scenario has the best fit with LCDM and recentobservations than other alternative theories.

Dynamical-Screening and the Phantom-Like Effects in a DGP-Inspired $F(R,\phi)$ Model