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A hysteresis phenomenon is uncovered, which stabilizes the tumor at its carrying capacity and drives the healthy and the immune cell populations to their extinction. Furthermore, it is shown that near a crisis bifurcation, such transitions occur under weak noise intensities. Finally, the corresponding noise-induced chaos-order transformation is analyzed and discussed in detail. <\/jats:p>","DOI":"10.1142\/s0218127420501795","type":"journal-article","created":{"date-parts":[[2020,10,5]],"date-time":"2020-10-05T08:54:32Z","timestamp":1601888072000},"page":"2050179","source":"Crossref","is-referenced-by-count":10,"title":["Tumor Stabilization Induced by T-Cell Recruitment Fluctuations"],"prefix":"10.1142","volume":"30","author":[{"given":"Irina","family":"Bashkirtseva","sequence":"first","affiliation":[{"name":"Institute of Mathematics and Computer Sciences, Ural Federal University, 620000, Lenina, 51, Ekaterinburg, Russia"}]},{"given":"Lev","family":"Ryashko","sequence":"additional","affiliation":[{"name":"Institute of Mathematics and Computer Sciences, Ural Federal University, 620000, Lenina, 51, Ekaterinburg, Russia"}]},{"given":"\u00c1lvaro G.","family":"L\u00f3pez","sequence":"additional","affiliation":[{"name":"Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de F\u00edsica, Universidad Rey Juan Carlos, Tulip\u00e1n s\/n, 28933 M\u00f3stoles, Madrid, Spain"}]},{"given":"Jes\u00fas M.","family":"Seoane","sequence":"additional","affiliation":[{"name":"Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de F\u00edsica, Universidad Rey Juan Carlos, Tulip\u00e1n s\/n, 28933 M\u00f3stoles, Madrid, Spain"}]},{"given":"Miguel A. 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