A Chester-Chisnell-Whitham (CCW) based model for solving detonation waves in reactive gases has been developed. The detonation waves are assumed to obey the single front model. The modified model makes it possible to investigate the behavior of detonation propagation and reflection near and at the Chapman-Jouguet (CJ) point. It is shown that the properties of detonation waves near the CJ point are very sensitive to the degree of overdrive. The analytical results are compared to experimental data, and fairly good to excellent agreement is evident. It is the authors＇ belief that the present model can be applied to more general two-dimensional problems involving detonation wave reflections, interactions, and refractions.