|  Abstract:  | 
         
        
          | This talk is concerned with the  time periodic traveling waves of a  periodic nonlocal dispersal equation with delay. In the quasi-monotone case, we    establish the exponential  stability of all non-critical periodic traveling fronts. The exponential  decay rate is also given. Then, we prove the uniqueness  of all non-critical periodic traveling waves of the equation with or without quasi-monotone condition. | 
         
     
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