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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2020,10]]},"abstract":"<jats:p> In this paper, we show how the global bifurcation theory for nonlinear Fredholm operators (Theorem 4.3 of [Shi &amp; Wang, 2009]) and for compact operators (Theorem 1.3 of [Rabinowitz, 1971]) can be used in the study of the nonconstant stationary solutions for a volume-filling chemotaxis model with logistic growth under Neumann boundary conditions. Our results show that infinitely many local branches of nonconstant solutions bifurcate from the positive constant solution [Formula: see text] at [Formula: see text]. Moreover, for each [Formula: see text], we prove that each [Formula: see text] can be extended into a global curve, and the projection of the bifurcation curve [Formula: see text] onto the [Formula: see text]-axis contains [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0218127420501825","type":"journal-article","created":{"date-parts":[[2020,10,30]],"date-time":"2020-10-30T01:22:12Z","timestamp":1604020932000},"page":"2050182","source":"Crossref","is-referenced-by-count":0,"title":["Global Bifurcation of Stationary Solutions for a Volume-Filling Chemotaxis Model with Logistic Growth"],"prefix":"10.1142","volume":"30","author":[{"given":"Yaying","family":"Dong","sequence":"first","affiliation":[{"name":"School of Science, Xi\u2019an Polytechnic University, Xi\u2019an 710048, P. R. 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