Abstract

AbstractThe development of quantitative models of outbreaks is key to their eventual control, from human and computer viruses through to social (and antisocial) activities. Standard epidemiological models can reproduce many general features of outbreaks. Unfortunately, the large temporal fluctuations which often dominate real-world data are thought to require more complicated, system-specific models involving super-spreaders, specific social network topologies and rewirings, and birth-death processes. However we show here that these large fluctuations have a generic explanation in terms of underlying community dynamics. Communities increasing (or decreasing) in size, act as instantaneous amplifiers (or suppressors) yielding a complex temporal evolution whose features vary dramatically according to the relative timescales of the community dynamics. We uncover, and provide an analytic theory for, a novel epidemiological phase transition driven by the population's response to an outbreak. An imminent epidemic will be suppressed if individual communities start to break up more frequently or join together less frequently, but will be amplified if the reverse is true.

Highlights

  • There is great interest in developing models which can explain the time-dependence of infection levels in the outbreak of a biological virus and other social phenomena[1,2,3,4,5,6,7,8,9,12]

  • We show here that these large fluctuations have a generic explanation in terms of underlying community dynamics

  • Communities increasing in size, act as instantaneous amplifiers yielding a complex temporal evolution whose features vary dramatically according to the relative timescales of the community dynamics

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Summary

Introduction

There is great interest in developing models which can explain the time-dependence of infection levels in the outbreak of a biological virus and other social phenomena[1,2,3,4,5,6,7,8,9,12]. We show here that these large fluctuations have a generic explanation in terms of underlying community dynamics.

Results
Conclusion

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