2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/176235An interacting dark energy model with interaction term $Q= λ_m Hρ_m+λ_dHρ_d$ is considered. By studying the model near the transition time, in which the system crosses the w=-1 phantom-divide-line, the conditions needed to overcome the coincidence problem is investigated. The phantom model, as a candidate for dark energy, is considered and for two specific examples, the quadratic and exponential phantom potentials, it is shown that it is possible the system crosses the w=-1 line, meanwhile the coincidence problem is alleviated, the two facts that have root in observations.15 pages, LaTeX. Some minor explanations are added. To be published in Phys. Rev. DGeneral Relativity and Quantum CosmologyAstrophysicsHigh Energy Physics - Theorytext