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When prey reproduces much faster than predator, by combining the normal form theory of slow\u2013fast systems and the geometric singular perturbation theory, we observe much richer new dynamical phenomena than the existing ones. In the case of strong Allee effect, we prove the existence of canard cycles, homoclinic orbits and heteroclinic orbits. Furthermore, we focus on the case of weak Allee effect. In addition to the similar dynamics of that exhibited by the system with strong Allee effect, we also demonstrate the occurrence of relaxation oscillations created by entry-exit function. Moreover, the existence of canard explosion is further explained analytically and numerically with the help of sophisticated slow\u2013fast techniques. <\/jats:p>","DOI":"10.1142\/s0218127422500717","type":"journal-article","created":{"date-parts":[[2022,4,26]],"date-time":"2022-04-26T02:11:31Z","timestamp":1650939091000},"source":"Crossref","is-referenced-by-count":3,"title":["Canard Cycles and Relaxation Oscillations in a Singularly Perturbed Leslie\u2013Gower Predator\u2013Prey Model with Allee Effect"],"prefix":"10.1142","volume":"32","author":[{"given":"Zirui","family":"Zhu","sequence":"first","affiliation":[{"name":"Department of Mathematics, East China Normal University, Shanghai 200040, P. R. China"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-7706-9044","authenticated-orcid":false,"given":"Xingbo","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, East China Normal University, Shanghai 200040, P. R. 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