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More specifically, by choosing integral step size as a bifurcation parameter, these bifurcations are driven via center manifold theorem and normal form theory. Finally, numerical simulations are performed to support and extend the theoretical results. Analytical results show that an integral step size has a significant role on the dynamics of a discrete system. Numerical simulations support that enlarging the integral step size causes chaotic behavior. <\/jats:p>","DOI":"10.1142\/s0218127420501497","type":"journal-article","created":{"date-parts":[[2020,9,1]],"date-time":"2020-09-01T09:20:57Z","timestamp":1598952057000},"page":"2050149","source":"Crossref","is-referenced-by-count":46,"title":["Complex Dynamics of a Discrete-Time Prey\u2013Predator System with Leslie Type: Stability, Bifurcation Analyses and Chaos"],"prefix":"10.1142","volume":"30","author":[{"given":"Pinar","family":"Baydemir","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Letters, TOBB University of Economics and Technology, Ankara 06560, Turkey"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2311-5348","authenticated-orcid":false,"given":"Huseyin","family":"Merdan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Letters, TOBB University of Economics and Technology, Ankara 06560, Turkey"}]},{"given":"Esra","family":"Karaoglu","sequence":"additional","affiliation":[{"name":"Department of Electrical and Electronics Engineering, University of Turkish Aeronautical Association, Ankara 06790, Turkey"}]},{"given":"Gokce","family":"Sucu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Letters, TOBB University of Economics and Technology, Ankara 06560, Turkey"}]}],"member":"219","published-online":{"date-parts":[[2020,8,31]]},"reference":[{"key":"S0218127420501497BIB001","volume-title":"An Introduction to Mathematical Biology","author":"Allen L. 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