Abstract | ||
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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. |
Year | DOI | Venue |
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2013 | 10.1142/S0218127413501800 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
Dynamical behavior, positive and negative feedback loops, dynamical theory, bifurcation analysis | Journal | 23 |
Issue | ISSN | Citations |
11 | 0218-1274 | 6 |
PageRank | References | Authors |
0.72 | 1 | 2 |
Name | Order | Citations | PageRank |
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Jinying Tan | 1 | 6 | 0.72 |
Xiufen Zou | 2 | 272 | 25.44 |