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Therefore, we have proposed a Beddington\u2013DeAngelis interference predator-prey model concerning integrated pest management with both density-dependent pest and natural enemy population. We find that the pest-eradication periodic solution is globally stable if the impulsive period is less than the critical value by Floquet theorem. The condition of permanent is established, and a stable positive periodic solution appears via a supercritical bifurcation by bifurcation theorem. Finally, in order to investigate the effects of those nonlinear control strategies on the successful pest control, the bifurcation diagrams showed that the model exists with very complex dynamics. Consequently, the resource limitation may result in pest outbreak in complex ways, which means that the pest control strategies should be carefully designed.<\/jats:p>","DOI":"10.1155\/2020\/8829235","type":"journal-article","created":{"date-parts":[[2020,12,11]],"date-time":"2020-12-11T18:51:29Z","timestamp":1607712689000},"page":"1-12","source":"Crossref","is-referenced-by-count":8,"title":["Complex Dynamics of Beddington\u2013DeAngelis-Type Predator-Prey Model with Nonlinear Impulsive Control"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2979-0005","authenticated-orcid":true,"given":"Changtong","family":"Li","sequence":"first","affiliation":[{"name":"School of Science, Xi\u2019an Technological University, Xi\u2019an 710032, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9349-1432","authenticated-orcid":true,"given":"Xiaozhou","family":"Feng","sequence":"additional","affiliation":[{"name":"School of Science, Xi\u2019an Technological University, Xi\u2019an 710032, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7127-5787","authenticated-orcid":true,"given":"Yuzhen","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Science, Xi\u2019an Technological University, Xi\u2019an 710032, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9081-9084","authenticated-orcid":true,"given":"Xiaomin","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Science, Xi\u2019an Technological University, Xi\u2019an 710032, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.en.22.010177.002503"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.2307\/3495567"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.en.33.010188.001323"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/0025-5564(76)90080-8"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/s0304-3800(03)00197-2"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1086\/284347"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-010-9531-6"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1080\/17513750902968779"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-016-1063-8"},{"key":"10","doi-asserted-by":"crossref","DOI":"10.1142\/0906","volume-title":"Theory of Impulsive Differential Equations","author":"V. 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