Optimal resource allocation for competing epidemics over arbitrary networks

Proceedings of the American Control Conference

Volumn 2015-July, Issue , 2015, Pages 1381-1386

  Watkins, Nicholas J ^a   Nowzari, Cameron ^a   Preciado, Victor M ^a   Pappas, George J ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BUDGET CONTROL; MATHEMATICAL PROGRAMMING; RESOURCE ALLOCATION;

ARBITRARY NETWORKS; COMPUTING SOLUTIONS; GENERALIZED GRAPHS; GEOMETRIC PROGRAMMING; OPTIMAL RESOURCE ALLOCATION; RECOVERY PARAMETERS; RESOURCE ALLOCATION STRATEGIES; SPREADING RATE;

TOPOLOGY;

EID: 84940922837     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2015.7170926     Document Type: Conference Paper

References (20)

1. H. W. Hethcote, "The mathematics of infectious diseases," SIAM review, vol. 42, no. 4, pp. 599-653, 2000.
2. M. J. Keeling and K. T. Eames, "Networks and epidemic models," Journal of the Royal Society Interface, vol. 2, no. 4, pp. 295-307, 2005.
3. M. E. Newman, "Threshold effects for two pathogens spreading on a network," Physical review letters, vol. 95, no. 10, p. 108701, 2005.
4. B. Karrer and M. E. J. Newman, "Competing epidemics on complex networks," Phys. Rev. E, vol. 84, p. 036106, Sep 2011.
5. M. Newman and C. R. Ferrario, "Interacting epidemics and coinfection on contact networks," PloS one, vol. 8, no. 8, p. e71321, 2013.
6. S. Shrestha, A. A. King, and P. Rohani, "Statistical inference for multi-pathogen systems," PLoS computational biology, vol. 7, no. 8, p. e1002135, 2011.
7. Y. Wang, G. Xiao, and J. Liu, "Dynamics of competing ideas in complex social systems," New Journal of Physics, vol. 14, no. 1, p. 013015, 2012.
8. M. Salehi, R. Sharma, M. Marzolla, D. Montesi, P. Siyari, and M. Magnani, "Diffusion processes on multilayer networks," arXiv preprint arXiv:1405.4329, 2014.
9. S. Funk and V. A. Jansen, "Interacting epidemics on overlay networks," Physical Review E, vol. 81, no. 3, p. 036118, 2010.
10. C. Granell, S. Gómez, and A. Arenas, "Dynamical interplay between awareness and epidemic spreading in multiplex networks," Physical review letters, vol. 111, no. 12, p. 128701, 2013.
11. C. Granell, S. Gómez, and A. Arenas, "Competing spreading processes on multiplex networks: awareness and epidemics," Physical Review E, vol. 90, no. 1, p. 012808, 2014.
12. X. Wei, N. C. Valler, B. A. Prakash, I. Neamtiu, M. Faloutsos, and C. Faloutsos, "Competing memes propagation on networks: A network science perspective," Selected Areas in Communications, IEEE Journal on, vol. 31, no. 6, pp. 1049-1060, 2013.
13. F. Darabi Sahneh and C. Scoglio, "Competitive epidemic spreading over arbitrary multilayer networks," Phys. Rev. E, vol. 89, p. 062817, Jun 2014.
14. V. M. Preciado, M. Zargham, C. Enyioha, A. Jadbabaie, and G. J. Pappas, "Optimal Resource Allocation for Network Protection Against Spreading Processes," Control of Network Systems, IEEE Transactions on, vol. 1, pp. 99-108, Mar. 2014.
15. X. Chen and V. Preciado, "Co-infection control in multilayer networks," in IEEE Conference on Decision and Control (CDC), December 2014.
16. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge University Press, 2004.
17. S. Boyd, S.-J. Kim, L. Vandenberghe, and A. Hassibi, "A tutorial on geometric programming," Optimization and Engineering, vol. 8, no. 1, pp. 67-127, 2007.
18. P. Van Mieghem, J. Omic, and R. Kooij, "Virus spread in networks," Networking, IEEE/ACM Transactions on, vol. 17, no. 1, pp. 1-14, 2009.
19. P. Mieghem, Performance Analysis of Communications Networks and Systems. Cambridge University Press, 2009.
20. F. D. Sahneh, C. Scoglio, and P. V. Mieghem, "Generalized epidemic mean-field model for spreading processes over multilayer complex networks," IEEE/ACM Transactions on Networking, vol. 21, October 2013.