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In this paper, amplitude equations of a spatial Holling\u2013Tanner predator\u2010prey model are studied via multiple scale analysis. First, by amplitude equations, we obtain the corresponding intervals in which different kinds of patterns will be onset. Additionally, we get the conclusion that pattern transitions of the predator are induced by the increasing rate of conversion into predator biomass. Specifically, pattern transitions of the predator between distinct Turing pattern structures vary in an orderly manner: from spotted patterns to stripe patterns, and finally to black\u2010eye patterns. Moreover, it is discovered that pattern transitions of prey can be induced by cross\u2010diffusion; that is, patterns of prey transmit from spotted patterns to stripe patterns and finally to a mixture of spot and stripe patterns. Meanwhile, it is found that both effects of cross\u2010diffusion and interaction between the prey and predator can lead to the complicated phenomenon of dynamics in the system of biology.<\/jats:p>","DOI":"10.1155\/2022\/8238384","type":"journal-article","created":{"date-parts":[[2022,1,10]],"date-time":"2022-01-10T13:35:17Z","timestamp":1641821717000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Complex Dynamical Behavior of Holling\u2013Tanner Predator\u2010Prey Model with Cross\u2010Diffusion"],"prefix":"10.1155","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5056-7468","authenticated-orcid":false,"given":"Caiyun","family":"Wang","sequence":"first","affiliation":[]},{"given":"Yongyong","family":"Pei","sequence":"additional","affiliation":[]},{"given":"Yaqun","family":"Niu","sequence":"additional","affiliation":[]},{"given":"Ruiqiang","family":"He","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2022,1,10]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/0025-5564(76)90041-9"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/bf00275980"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3800(78)90019-4"},{"key":"e_1_2_9_4_2","volume-title":"Elements of Physical Biology","author":"Lotka A. 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