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Author (up) Bottcher, L.; Woolley-Meza, O.; Goles, E.; Helbing, D.; Herrmann, H.J.
Title Connectivity disruption sparks explosive epidemic spreading Type
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
Call Number UAI @ eduardo.moreno @ Serial 615
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Author (up) Vieira, A.P.; Goles, E.; Herrmann, H.J.
Title Dynamics of extended Schelling models Type
Year 2020 Publication Journal Of Statistical Mechanics-Theory And Experiment Abbreviated Journal J. Stat. Mech.-Theory Exp.
Volume 2020 Issue 1 Pages 17 pp
Keywords 4; 9
Abstract We explore extensions of Schelling's model of social dynamics, in which two types of agents live on a checkerboard lattice and move in order to optimize their own satisfaction, which depends on how many agents among their neighbors are of their same type. For each number n of same-type nearest neighbors we independently assign a binary satisfaction variable s(k) which is equal to one only if the agent is satisfied with that condition, and is equal to zero otherwise. This defines 32 different satisfaction rules, which we investigate in detail, focusing on pattern formation and measuring segregation with the help of an 'energy' function which is related to the number of neighboring agents of different types and plays no role in the dynamics. We consider the checkerboard lattice to be fully occupied and the dynamics consist of switching the locations of randomly selected unsatisfied agents of opposite types. We show that, starting from a random distribution of agents, only a small number of rules lead to (nearly) fully segregated patterns in the long run, with many rules leading to chaotic steady-state behavior. Nevertheless, other interesting patterns may also be dynamically generated, such as 'anti-segregated' patterns as well as patterns resembling sponges.
Address [Vieira, Andre P.] Univ Sao Paulo, Inst Fis, Rua Matao 1371, BR-05508090 Sao Paulo, SP, Brazil, Email: apvieira@if.usp.br
Corporate Author Thesis
Publisher Iop Publishing Ltd Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1742-5468 ISBN Medium
Area Expedition Conference
Notes WOS:000520592600001 Approved
Call Number UAI @ eduardo.moreno @ Serial 1159
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