{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T15:30:55Z","timestamp":1772292655632,"version":"3.50.1"},"reference-count":32,"publisher":"World Scientific Pub Co Pte Ltd","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2013,11]]},"abstract":"<jats:p>In this paper, we investigate the complex dynamical behaviors of a biological network that is derived from innate immune responses and that couples positive and negative feedback loops. The stability conditions of the non-negative equilibrium points (EPs) of the system are obtained, using the theory of dynamical systems, and we deduce that no more than three stable EPs exist in this system. Through bifurcation analysis and numerical simulations, we find that the system presents rich dynamical behaviors, such as monostability, bistability and oscillations. These results reveal how positive and negative feedback cooperatively regulate the dynamical behavior of the system.<\/jats:p>","DOI":"10.1142\/s0218127413501800","type":"journal-article","created":{"date-parts":[[2013,12,13]],"date-time":"2013-12-13T02:07:05Z","timestamp":1386900425000},"page":"1350180","source":"Crossref","is-referenced-by-count":19,"title":["COMPLEX DYNAMICAL ANALYSIS OF A COUPLED NETWORK FROM INNATE IMMUNE RESPONSES"],"prefix":"10.1142","volume":"23","author":[{"given":"JINYING","family":"TAN","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China"},{"name":"College of Science, Huazhong Agricultural University, Wuhan 430070, P. R. 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