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In this article, a delayed reaction-diffusion predator-prey model with stage structure is constructed. The boundedness, existence and uniqueness of the model is investigated. The existence and uniqueness of the global solution of the system are proved. The local and global stability of the constant equilibria are discussed by the linearization method and the method of upper and lower solutions, respectively.

The Boundedness, Existence, Uniqueness and Stability of a Delayed Reaction-diffusion Predator-prey Model