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Meanwhile, the explicit approximate expression of the stable closed invariant curve caused by the Neimark\u2013Sacker bifurcation is given. 1:3 strong resonance is investigated through approximation by a flow, and the bifurcation curves around 1:3 resonance are obtained. Moreover, for the sake of regulating the stability of the biological system, we extend the hybrid control strategy to control the Neimark\u2013Sacker bifurcation and 1:3 strong resonance. The theoretical analyses are validated by numerical simulations and are explained from the biological point of view.<\/jats:p>","DOI":"10.1142\/s0218127418500621","type":"journal-article","created":{"date-parts":[[2018,5,30]],"date-time":"2018-05-30T08:35:44Z","timestamp":1527669344000},"page":"1850062","source":"Crossref","is-referenced-by-count":38,"title":["Bifurcations and Control in a Discrete Predator\u2013Prey Model with Strong Allee Effect"],"prefix":"10.1142","volume":"28","author":[{"given":"Limin","family":"Zhang","sequence":"first","affiliation":[{"name":"Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, P. R. China"},{"name":"College of Mathematics, Sichuan University of Arts and Science, Dazhou, Sichuan 635000, P. R. 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