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Stability of the bifurcating solutions is also established through rigorous and detailed calculations. Our results provide a selection mechanism of stable wavemode which states that the only stable bifurcation branch must have a wavemode number that minimizes the bifurcation value. Finally, we perform extensive numerical simulations on the formation of stable steady states with striking structures such as boundary spikes, interior spikes, stripes, etc. These nontrivial patterns can model cellular aggregation that develop through chemotactic movements in biological systems. <\/jats:p>","DOI":"10.1142\/s0218127416500334","type":"journal-article","created":{"date-parts":[[2016,3,10]],"date-time":"2016-03-10T03:26:20Z","timestamp":1457580380000},"page":"1650033","source":"Crossref","is-referenced-by-count":17,"title":["Pattern Formation in Keller\u2013Segel Chemotaxis Models with Logistic Growth"],"prefix":"10.1142","volume":"26","author":[{"given":"Ling","family":"Jin","sequence":"first","affiliation":[{"name":"Department of Mathematics, Southwestern University of Finance and Economics, 555 Liutai Ave, Wenjiang, Chengdu, Sichuan 611130, P. R. 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