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Author (up) Bottcher, L.; Woolley-Meza, O.; Goles, E.; Helbing, D.; Herrmann, H.J. pdf  doi
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  Title Connectivity disruption sparks explosive epidemic spreading Type Journal Article
  Year 2016 Publication Physical Review E Abbreviated Journal Phys. Rev. E  
  Volume 93 Issue 4 Pages 8 pp  
  Keywords  
  Abstract We investigate the spread of an infection or other malfunction of cascading nature when a system component can recover only if it remains reachable from a functioning central component. We consider the susceptible-infected-susceptible model, typical of mathematical epidemiology, on a network. Infection spreads from infected to healthy nodes, with the addition that infected nodes can only recover when they remain connected to a predefined central node, through a path that contains only healthy nodes. In this system, clusters of infected nodes will absorb their noninfected interior because no path exists between the central node and encapsulated nodes. This gives rise to the simultaneous infection of multiple nodes. Interestingly, the system converges to only one of two stationary states: either the whole population is healthy or it becomes completely infected. This simultaneous cluster infection can give rise to discontinuous jumps of different sizes in the number of failed nodes. Larger jumps emerge at lower infection rates. The network topology has an important effect on the nature of the transition: we observed hysteresis for networks with dominating local interactions. Our model shows how local spread can abruptly turn uncontrollable when it disrupts connectivity at a larger spatial scale.  
  Address [Bottcher, L.] ETH, Wolfgang Pauli Str 27, CH-8093 Zurich, Switzerland, Email: lucasb@ethz.ch  
  Corporate Author Thesis  
  Publisher Amer Physical Soc Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 2470-0045 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000374962100010 Approved no  
  Call Number UAI @ eduardo.moreno @ Serial 615  
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