Journal
PHYSICS OF LIFE REVIEWS
Volume 19, Issue -, Pages 43-73Publisher
ELSEVIER
DOI: 10.1016/j.plrev.2016.08.002
Keywords
Reaction-diffusion equation; Cellular automata; Spatial heterogeneity; Seasonality and noise; Coherence resonance; Cyclic evolution
Categories
Funding
- National Natural Science Foundation of China [11331009, 11501338, 11301490]
- 131 Talents of Shanxi University
- Program for the Outstanding Innovative Teams (OIT) of Higher Learning Institutions of Shanxi
- International Postdoctoral Exchange Program at Fudan University
- China Scholarship Council (CSC)
- Japan Science and Technology Agency (JST) Program
- Natural Science Foundation of Shanxi Province [201601D021002]
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Infectious diseases are a threat to human health and a hindrance to societal development. Consequently, the spread of diseases in both time and space has been widely studied, revealing the different types of spatial patterns. Transitions between patterns are an emergent property in spatial epidemics that can serve as a potential trend indicator of disease spread. Despite the usefulness of such an indicator, attempts to systematize the topic of pattern transitions have been few and far between. We present a mini-review on pattern transitions in spatial epidemics, describing the types of transitions and their underlying mechanisms. We show that pattern transitions relate to the complexity of spatial epidemics by, for example, being accompanied with phenomena such as coherence resonance and cyclic evolution. The results presented herein provide valuable insights into disease prevention and control, and may even be applicable outside epidemiology, including other branches of medical science, ecology, quantitative finance, and elsewhere. (C) 2016 Elsevier B.V. All rights reserved.
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