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Symbiotic and antagonistic disease dynamics on clustered networks using bond percolation

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PhysRevE.104.024303.pdf (980.5Kb)
Date
03/08/2021
Author
Mann, Peter Stephen
Smith, V.A.
Mitchell, John B. O.
Dobson, Simon Andrew
Keywords
Complex networks
Percolation theory
Epidemic spreading
Coinfection
Clustered networks
QA75 Electronic computers. Computer science
RA0421 Public health. Hygiene. Preventive Medicine
T-NDAS
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Abstract
In this paper we introduce a description of the equilibrium state of a bond percolation process on random graphs using the exact method of generating functions. This allows us to find the expected size of the giant connected component (GCC) of two sequential bond percolation processes in which the bond occupancy probability of the second process is modulated (increased or decreased) by a node being inside or outside of the GCC created by the first process. In the context of epidemic spreading this amounts to both an antagonistic partial immunity and a synergistic partial coinfection interaction between the two sequential diseases. We examine configuration model networks with tunable clustering. We find that the emergent evolutionary behavior of the second strain is highly dependent on the details of the coupling between the strains. Contact clustering generally reduces the outbreak size of the second strain relative to unclustered topologies; however, positive assortativity induced by clustered contacts inverts this conclusion for highly transmissible disease dynamics.
Citation
Mann , P S , Smith , V A , Mitchell , J B O & Dobson , S A 2021 , ' Symbiotic and antagonistic disease dynamics on clustered networks using bond percolation ' , Physical Review. E, Statistical, nonlinear, and soft matter physics , vol. 104 , no. 2 , 024303 . https://doi.org/10.1103/PhysRevE.104.024303
Publication
Physical Review. E, Statistical, nonlinear, and soft matter physics
Status
Peer reviewed
DOI
https://doi.org/10.1103/PhysRevE.104.024303
ISSN
1539-3755
Type
Journal article
Rights
Copyright © 2021 American Physical Society. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the final published version of the work, which was originally published at https://doi.org/10.1103/PhysRevE.104.024303.
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/23717

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