A Weighted Configuration Model and Inhomogeneous Epidemics

Journal of Statistical Physics

Volumn 145, Issue 5, 2011, Pages 1368-1384

  Britton, Tom ^a   Deijfen, Maria ^a   Liljeros, Fredrik ^a  

^a STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

Configuration model; Degree distribution; Empirical networks; Epidemic threshold; Weighted graph

Indexed keywords

EID: 82255192470     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-011-0343-3     Document Type: Article

References (19)

1. Andersson, H.: Limit theorems for a random graph epidemic model. Ann. Appl. Probab. 8, 1331-1349 (1998).
2. Andersson, H.: Epidemic models and social networks. Math. Scientist 24, 128-147 (1999).
3. Britton, T.: Stochastic epidemic models: a survey. Math. Biosci. 225, 24-35 (2010).
4. Britton, T., Janson, S., Martin-Löf, A.: Graphs with specified degree distributions, simple epidemics and local vaccination strategies. Adv. Appl. Probab. 39, 922-948 (2007).
5. 0. Theor. Popul. Biol. 72, 389-399 (2007).
6. Chen, Y., Paul, G., Cohen, R., Havlin, S., Borgatti, S. P., Liljeros, F., Stanley, E.: Percolation theory applied to measures of fragmentation in networks. Phys. Rev. E 75, 046107 (2007).
7. Chen, Y., Paul, G., Havlin, S., Liljeros, F., Stanley, E.: Finding a better immunization strategy. Phys. Rev. Lett. 101, 058701 (2008).
8. Deijfen, M.: Epidemics and vaccination on weighted graphs, Math. Biosci. 232(1), 57-65 (2010).
9. Durrett, R.: Random Graph Dynamics. Cambridge University Press, Cambridge (2007).
10. van der Hofstad, R.: Random Graphs and Complex Networks. Available at www. win. tue. nl/~rhofstad (2010).
11. Jagers, P.: Branching Processes and Biological Applications. Wiley, New York (1975).
12. Janson, S., Luczak, M.: A new approach to the giant component problem. Random Struct. Algorithms 34, 197-216 (2008).
13. Liljeros, F., Giesecke, J., Holme, P.: The contact network of inpatients in a regional healthcare system: a longitudinal case study. Math. Popul. Stud. 14, 269-284 (2007).
14. Molloy, M., Reed, B.: A critical point for random graphs with a given degree sequence. Random Struct. Algorithms 6, 161-179 (1995).
15. Molloy, M., Reed, B.: The size of the giant component of a random graphs with a given degree sequence. Comb. Probab. Comput. 7, 295-305 (1998).
16. Neal, P.: Multitype randomised Reed-Frost epidemics and epidemics upon random graphs. Ann. Appl. Probab. 16, 1166-1189 (2006).
17. Newman, M. E. J.: Assortative mixing in networks. Phys. Rev. Lett. 89, 1-4 (2002).
18. Newman, M. E. J.: Mixing patterns in networks. Phys. Rev. E 67, 1-13 (2003).
19. Nordvik, M., Liljeros, F.: Transmission of sexually transmitted infections. Sex. Transm. Dis. 33, 342-349 (2006).