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By using the bifurcation theory, the conditions of Hopf and Turing bifurcation critical lines in a spatial domain are proved. Finally, we carry out some numerical simulations in order to support our theoretical results and to interpret how biological processes affect spatiotemporal pattern formation which show that it is useful to use the predator\u2013prey model to detect the spatial dynamics in the real life. <\/jats:p>","DOI":"10.1142\/s021812741850089x","type":"journal-article","created":{"date-parts":[[2018,7,17]],"date-time":"2018-07-17T04:26:51Z","timestamp":1531801611000},"page":"1850089","source":"Crossref","is-referenced-by-count":27,"title":["Turing Instability and Hopf Bifurcation in a Modified Leslie\u2013Gower Predator\u2013Prey Model with Cross-Diffusion"],"prefix":"10.1142","volume":"28","author":[{"given":"Walid","family":"Abid","sequence":"first","affiliation":[{"name":"University of Tunis El Manar, National Engineering School of Tunis, Laboratory of Engineering Mathematics EPT, BP 743, La Marsa 2078, Tunisia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9824-9036","authenticated-orcid":false,"given":"R.","family":"Yafia","sequence":"additional","affiliation":[{"name":"Universit\u00e9 Ibn Zohr, BP 32\/S, CP 80000 Agadir, Morocco"}]},{"given":"M. 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