Equation-of-state formalism for dark energy models on the brane and the future of brane universesArtyom V. Astashenok, Emilio Elizalde, Sergei D. Odintsov and Artyom V. YurovEur. Phys. J. C, 72 12 (2012) 2260DOI: https://doi.org/10.1140/epjc/s10052-012-2260-2