Name
Title | ||
|---|---|---|
Qualitative Analysis Of Critical Transitions In Complex Disease Propagation From A Dynamical Systems Perspective |
Abstract | ||
|---|---|---|
Considerable evidence suggests that in complex diseases the deteriorations are often abrupt, and can be viewed as a bifurcation or a critical transition from one asymptotically stable equilibrium to another one at a tipping point. Here, we propose some new ideas to detect early-warning signals of such critical transitions from the perspective of qualitative theory of ordinary differential equations. Specifically, we theoretically derive three indicators that serve as a general early-warning signal indicating an imminent bifurcation or sudden deterioration before the critical transition occurs. Then, we verify our theoretical results by numerical simulations for three examples. Our work forms a starting point to motivate new mathematical insights into predictability for critical transitions of dynamical systems from a new perspective. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1142/S0218127416502394 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | Field | DocType |
Complex diseases, bifurcation, critical transition, early-warning signal, dynamical system | Predictability,Biological applications of bifurcation theory,Ordinary differential equation,Control theory,Dynamical systems theory,Mathematics,Dynamical system,Tipping point (climatology),Bifurcation,Stability theory | Journal |
Volume | Issue | ISSN |
26 | 14 | 0218-1274 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gang Wang | 1 | 0 | 1.35 |
| Xiufen Zou | 2 | 272 | 25.44 |