{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T09:01:59Z","timestamp":1773910919246,"version":"3.50.1"},"reference-count":43,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2022,3,28]],"date-time":"2022-03-28T00:00:00Z","timestamp":1648425600000},"content-version":"vor","delay-in-days":86,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2022,1]]},"abstract":"<jats:p>The discrete\u2010time system has more complex and chaotic dynamical behaviors as compared to the continuous\u2010time system. This paper extends a discrete Leslie\u2013Gower predator\u2010prey system with the Allee effect in the predator\u2019s population, whose dynamics are analyzed and explored. We have determined the equilibrium points and studied their local stability properties. We find that the system undergoes flip bifurcation and Neimark\u2013Sacker bifurcation around the interior equilibrium point by choosing the Allee parameter as a bifurcation parameter. We discuss the stability and direction of both bifurcations with the help of the normal form theory and center manifold theorem. The flip bifurcation and Neimark\u2013Sacker bifurcation are the most common routes to the chaotic orbit in the discrete system. Moreover, we utilize state feedback, pole placement, and hybrid control methods to control the chaos in the system. The work is complete with the numerical simulations to confirm the analytical findings.<\/jats:p>","DOI":"10.1155\/2022\/6931354","type":"journal-article","created":{"date-parts":[[2022,3,28]],"date-time":"2022-03-28T10:05:13Z","timestamp":1648461913000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["A Novel Discrete\u2010Time Leslie\u2013Gower Model with the Impact of Allee Effect in Predator Population"],"prefix":"10.1155","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4509-9484","authenticated-orcid":false,"given":"S.","family":"Vinoth","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9784-2591","authenticated-orcid":false,"given":"R.","family":"Sivasamy","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3994-3896","authenticated-orcid":false,"given":"K.","family":"Sathiyanathan","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8832-3036","authenticated-orcid":false,"given":"B.","family":"Unyong","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1385-5345","authenticated-orcid":false,"given":"R.","family":"Vadivel","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0375-7917","authenticated-orcid":false,"given":"Nallappan","family":"Gunasekaran","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2022,3,28]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1023\/a:1004918920121"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.186.4164.645"},{"key":"e_1_2_11_3_2","volume-title":"Deterministic Mathematical Models in Population Ecology","author":"Freedman H. 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