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We prove that the periodic pest-eradication solution of the system is globally asymptotically stable if [Formula: see text], while the system is persistent if [Formula: see text]. Furthermore, by discussion on the two-patch case, we analyze the effects of the dispersal and impulsive control on dynamical behaviors of the system. Some numerical examples are given to illustrate the effectiveness of the obtained results and to demonstrate the complexity such as chaotic characteristic of the system.<\/jats:p>","DOI":"10.1142\/s0218127418501730","type":"journal-article","created":{"date-parts":[[2019,1,8]],"date-time":"2019-01-08T02:33:12Z","timestamp":1546914792000},"page":"1850173","source":"Crossref","is-referenced-by-count":4,"title":["Dynamical Behaviors of a Pest Epidemic Model with Impulsive Control Over a Patchy Environment"],"prefix":"10.1142","volume":"28","author":[{"given":"Zhichun","family":"Yang","sequence":"first","affiliation":[{"name":"College of Mathematics, Chongqing Normal University, Chongqing 400047, P. R. China"}]},{"given":"Cheng","family":"Chen","sequence":"additional","affiliation":[{"name":"College of Mathematics, Chongqing Normal University, Chongqing 400047, P. R. 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