A better way to reconstruct dark energy models?
To reconstruct dark energy models the redshift zeq, marking the end of radiation era and the beginning of matter-dominated era, can play a role as important as zt, the redshift at which deceleration parameter experiences a signature flip. To implement the idea we propose a variable equation of state for matter that can bring a smooth transition from radiation to matter-dominated era in a single model. A popular Λ∝ρ dark energy model is chosen for demonstration but found to be unacceptable. An alternative Λ∝ρa3 model is proposed and found to be more close to observation.