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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. <\/jats:p>","DOI":"10.1142\/s0218127416502394","type":"journal-article","created":{"date-parts":[[2017,1,17]],"date-time":"2017-01-17T10:21:59Z","timestamp":1484648519000},"page":"1650239","source":"Crossref","is-referenced-by-count":6,"title":["Qualitative Analysis of Critical Transitions in Complex Disease Propagation from a Dynamical Systems Perspective"],"prefix":"10.1142","volume":"26","author":[{"given":"Gang","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. 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