Perturbative solution to susceptible-infected-susceptible epidemics on networks.
(2013) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 88(3).- Abstract
- Herein we provide a closed form perturbative solution to a general M-node network susceptible-infected-susceptible (SIS) model using the transport rates between nodes as a perturbation parameter. We separate the dynamics into a short-time regime and a medium-to-long-time regime. We solve the short-time dynamics of the system and provide a limit before which our explicit, analytical result of the first-order perturbation for the medium-to-long-time regime is to be employed. These stitched calculations provide an approximation to the full temporal dynamics for rather general initial conditions. To further corroborate our results, we solve the mean-field equations numerically for an infectious SIS outbreak in New Zealand (NZ, Aotearoa)... (More)
- Herein we provide a closed form perturbative solution to a general M-node network susceptible-infected-susceptible (SIS) model using the transport rates between nodes as a perturbation parameter. We separate the dynamics into a short-time regime and a medium-to-long-time regime. We solve the short-time dynamics of the system and provide a limit before which our explicit, analytical result of the first-order perturbation for the medium-to-long-time regime is to be employed. These stitched calculations provide an approximation to the full temporal dynamics for rather general initial conditions. To further corroborate our results, we solve the mean-field equations numerically for an infectious SIS outbreak in New Zealand (NZ, Aotearoa) recomposed into 23 subpopulations where the virus is spread to different subpopulations via (documented) air traffic data, and the country is internationally quarantined. We demonstrate that our analytical predictions compare well to the numerical solution. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4143253
- author
- Sanders, Lloyd LU ; Söderberg, Bo LU ; Brockmann, Dirk and Ambjörnsson, Tobias LU
- organization
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
- volume
- 88
- issue
- 3
- article number
- 032713
- publisher
- American Physical Society
- external identifiers
-
- wos:000324692200010
- pmid:24125300
- scopus:84885138096
- pmid:24125300
- ISSN
- 1539-3755
- DOI
- 10.1103/PhysRevE.88.032713
- language
- English
- LU publication?
- yes
- id
- 86e913b2-2c1c-40ed-9e29-32e3774f30e4 (old id 4143253)
- date added to LUP
- 2016-04-01 10:28:56
- date last changed
- 2024-01-06 17:55:56
@article{86e913b2-2c1c-40ed-9e29-32e3774f30e4, abstract = {{Herein we provide a closed form perturbative solution to a general M-node network susceptible-infected-susceptible (SIS) model using the transport rates between nodes as a perturbation parameter. We separate the dynamics into a short-time regime and a medium-to-long-time regime. We solve the short-time dynamics of the system and provide a limit before which our explicit, analytical result of the first-order perturbation for the medium-to-long-time regime is to be employed. These stitched calculations provide an approximation to the full temporal dynamics for rather general initial conditions. To further corroborate our results, we solve the mean-field equations numerically for an infectious SIS outbreak in New Zealand (NZ, Aotearoa) recomposed into 23 subpopulations where the virus is spread to different subpopulations via (documented) air traffic data, and the country is internationally quarantined. We demonstrate that our analytical predictions compare well to the numerical solution.}}, author = {{Sanders, Lloyd and Söderberg, Bo and Brockmann, Dirk and Ambjörnsson, Tobias}}, issn = {{1539-3755}}, language = {{eng}}, number = {{3}}, publisher = {{American Physical Society}}, series = {{Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}}, title = {{Perturbative solution to susceptible-infected-susceptible epidemics on networks.}}, url = {{https://lup.lub.lu.se/search/files/1878506/4146191.pdf}}, doi = {{10.1103/PhysRevE.88.032713}}, volume = {{88}}, year = {{2013}}, }