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The model characterizes the implementation of comprehensive prevention and control measures when the pest density reaches the nonlinear action threshold level depending on the pest density and its change rate. The mortality rate of the pest is a saturation function that strictly depends on their density while the release of natural enemies is also a nonlinear pulse term depending on the density of real\u2010time natural enemies. The exact impulsive and phase sets are given. The definition and properties of the Poincar\u00e9 map corresponding to the pulse points on the phase set are provided. We investigate the existence and stability of boundary and interior order\u20101 periodic solution. The theoretical analysis developed in the present paper combined with nonlinear controlling measures as well as nonlinear action threshold methods and techniques laid the foundation for the establishment and analysis of other state\u2010dependent feedback control models.<\/jats:p>","DOI":"10.1155\/2022\/7903450","type":"journal-article","created":{"date-parts":[[2022,1,18]],"date-time":"2022-01-18T16:45:20Z","timestamp":1642524320000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A State\u2010Dependent Impulsive Nonlinear System with Ratio\u2010Dependent Action Threshold for Investigating the Pest\u2010Natural Enemy Model"],"prefix":"10.1155","volume":"2022","author":[{"given":"Ihsan","family":"Ullah Khan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Saif","family":"Ullah","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0808-4504","authenticated-orcid":false,"given":"Ebenezer","family":"Bonyah","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Basem","family":"Al Alwan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ahmed","family":"Alshehri","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2022,1,18]]},"reference":[{"key":"e_1_2_13_1_2","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2004.4.759"},{"key":"e_1_2_13_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2010.02.034"},{"key":"e_1_2_13_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-011-0501-x"},{"key":"e_1_2_13_4_2","doi-asserted-by":"publisher","DOI":"10.1142\/0906"},{"key":"e_1_2_13_5_2","doi-asserted-by":"publisher","DOI":"10.1155\/2019\/9365293"},{"key":"e_1_2_13_6_2","doi-asserted-by":"publisher","DOI":"10.17537\/2020.15.268"},{"key":"e_1_2_13_7_2","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.en.33.010188.001323"},{"key":"e_1_2_13_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2008.05.041"},{"key":"e_1_2_13_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2008.11.015"},{"key":"e_1_2_13_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2011.08.003"},{"key":"e_1_2_13_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2012.03.011"},{"key":"e_1_2_13_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-014-1486-y"},{"key":"e_1_2_13_13_2","doi-asserted-by":"publisher","DOI":"10.1142\/s1793048019500061"},{"key":"e_1_2_13_14_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.96.11.5944"},{"key":"e_1_2_13_15_2","volume-title":"Insecticide Resistance","author":"Karaagac S. 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