In this work, we present a pest-natural enemy model with natural enemy periodic migration described by time delay. The globally attractive conditions for pest-elimination periodic solution ( 0 , 0 , P ( t ) ˜ ) of model ( 2 . 1 ) are acquired by methods of mathematical analysis. Permanent conditions of model ( 2 . 1 ) are also provided. Computer-assisted techniques are used to simulate the dynamical behaviors of model ( 2 . 1 ) . Furthermore, Systematic sensitivity analysis of parameters are inserted to describe the dynamic interactions betwee...
