Super compact pairwise model for SIS epidemic on heterogeneous networks

Journal of Complex Networks

Volumn 4, Issue 2, 2016, Pages 187-200

  Simon, Péter L ^a,b   Kiss, Istvan Z ^c  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^b INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

^c UNIVERSITY OF SUSSEX   (United Kingdom)

Author keywords

Pairwise model; SIS epidemic; Triple closure

Indexed keywords

DIFFERENTIAL EQUATIONS; HETEROGENEOUS NETWORKS;

AVERAGE DEGREE; COMPACT MODEL; DEGREE DISTRIBUTIONS; EPIDEMIC DYNAMICS; HETEROGENOUS NETWORK; SUSCEPTIBLE-INFECTED-SUSCEPTIBLE; THIRD MOMENTS; TRIPLE CLOSURE;

EPIDEMIOLOGY;

EID: 84978975529     PISSN: 20511310     EISSN: 20511329     Source Type: Journal    
DOI: 10.1093/comnet/cnv018     Document Type: Article

References (17)

1. Keeling, M. J. & Eames, K. T. D. (2005) Networks and epidemic models. J. R. Soc. Interface, 2, 295-307.
2. Danon, L., Ford, A. P, House, T., Jewell, C. P., Keeling, M. J., Roberts, G. O., Ross, J. V. & Vernon, M. C. (2011) Networks and the epidemiology of infectious disease. Interdiscip. Perspect. Infect. Dis., 2011, Article ID 284909, doi:10.1155/2011/284909.
3. Pastor-Satorras, R., Castellano, C., VanMieghem, P. & Vespignani, A. (2014) Epidemic processes in complex networks. Preprint, arXiv:1408.2701.
4. Pastor-Satorras, R. & Vespignani, A. (2001) Epidemic spreading in scale-free networks. Phys. Rev. Lett., 86, 3200-3203.
5. Rand, D. (2009) Advanced ecological theory: principles and applications. Chapter Correlation Equations and Pair Approximations for Spatial Ecologies. New York: John Wiley & Sons, pp. 100-142.
6. Keeling, M. J. (1999) The effects of local spatial structure on epidemiological invasions. Proc. R. Soc. Lond. Ser. B: Biol. Sci., 266, 859-867.
7. House, T. & Keeling, M. J. (2011) Insights from unifying modern approximations to infections on networks. J. R. Soc. Interface, 8, 67-73.
8. Satō, K., Matsuda, H. & Sasaki, A. (1994) Pathogen invasion and host extinction in lattice structured populations. J. Math. Biol., 32, 251-268.
9. Eames, K. T. D. & Keeling, M. J. (2002) Modeling dynamic and network heterogeneities in the spread of sexually transmitted diseases. Proc. Natl Acad. Sci., 99, 13330-13335.
10. Sharkey, K. J., Fernandez, C., Morgan, K. L., Peeler, E., Thrush, M., Turnbull, J. F. & Bowers, R. G. (2006) Pair-level approximations to the spatio-temporal dynamics of epidemics on asymmetric contact networks. J. Math. Biol., 53, 61-85.
11. Rattana, P., Blyuss, K. B., Eames, K. T. D. & Kiss, I. Z. (2013) A class of pairwise models for epidemic dynamics on weighted networks. Bull. Math. Biol., 75, 466-490.
12. House, T., Davies, G., Danon, L. & Keeling, M. J. (2009) A motif-based approach to network epidemics. Bull. Math. Biol., 71, 1693-1706.
13. Molloy, M. & Reed, B. (1995) A critical point for random graphs with a given degree sequence. Random Structures Algorithms, 6, 161-180.
14. Taylor, M., Simon, P. L., Green, D. M., House, T. & Kiss, I. Z. (2012) From Markovian to pairwise epidemic models and the performance of moment closure approximations. J. Math. Biol., 64, 1021-1042.
15. Boguñá, M., Castellano, C. & Pastor-Satorras, R. (2013) Nature of the epidemic threshold for the susceptible-infected-susceptible dynamics in networks. Phys. Rev. Lett., 111, 068701.
16. Mata, A. S. & Ferreira, S. C. (2015) Multiple transitions of the susceptible-infected-susceptible epidemic model on complex networks. Phys. Rev. E, 91, 012816.
17. Mata, A. S., Ferreira, R. S. & Ferreira, S. C. (2014) Heterogeneous pair-approximation for the contact process on complex networks. New J. Phys., 16, 053006.