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There are many kinds of models which describe the dynamics of dark energy(DE). Among all we adopt an equation of state (EoS) which varies as a functionof time. We adopt Markov Chain Monte Carlo method to constrain the fiveparameters of our models. As a consequence, we can show the characteristicbehavior of DE during the evolution of the universe. We constrain the EoS of DEwith use of the avairable data of gamma-ray bursts and type Ia supernovae (SNeIa) concerning the redshift-luminosity distance relations. As a result, we findthat DE is quintessence-like in the early time and phantom-like in the presentepoch or near the future, where the change occurs rather rapidly at $z\sim0.3$.

Constraining a variable dark energy model from the redshift-luminosity distance relations of gamma-ray bursts and type Ia supernovae