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Dynamics of Interacting Diseases

Joaquín Sanz, Cheng-Yi Xia, Sandro Meloni, and Yamir Moreno
Phys. Rev. X 4, 041005 – Published 8 October 2014
  1. R. M. Anderson, R. M. May, and B. Anderson, Infectious Diseases of Humans: Dynamics and Control (Oxford University Press, Oxford, England, 1992).
  2. H. W. Hethcote, The Mathematics of Infectious Diseases, SIAM Rev. 42, 599 (2000).
  3. D. J. Daley and J. Gani, Epidemic Modelling (Cambridge University Press, Cambridge, England, 1999).
  4. J. D. Murray, Mathematical Biology (Springer-Verlag, Berlin, 2002).
  5. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, England, 2005).
  6. L. J. S. Allen, Some Discrete-Time SI, SIR, and SIS Epidemic Models, Math. Biosci. 124, 83 (1994).
  7. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, Oxford, England, 1987).
  8. H. W. Hethcote, Qualitative Analyses of Communicable Disease Models, Math. Biosci. 28, 335 (1976).
  9. R. Pastor-Satorras and A. Vespignani, Epidemic Spreading in Scale-Free Networks, Phys. Rev. Lett. 86, 3200 (2001).
  10. R. Pastor-Satorras and A. Vespignani, Evolution and Structure of the Internet: A Statistical Physics Approach (Cambridge University Press, Cambridge, England, 2007).
  11. A. L. LLoyd and R. M. May, How Viruses Spread Among Computers and People, Science 292, 1316 (2001).
  12. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D. U. Hwang, Complex Networks: Structure and Dynamics, Phys. Rep. 424, 175 (2006).
  13. S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Critical Phenomena in Complex Networks, Rev. Mod. Phys. 80, 1275 (2008).
  14. M. E. J. Newman, The Structure and Function of Complex Networks, SIAM Rev. 45, 167 (2003).
  15. L. Hufnagel, D. Brockmann, and T. Geisel, Forecast and Control of Epidemics in a Globalized World, Proc. Natl. Acad. Sci. U.S.A. 101, 15124 (2004).
  16. S. Eubank, H. Guclu, V. S. Anil-Kumar, M. V. Marathe, A. Srinivasan, Z. Toroczkai, and N. Wang, Modelling Disease Outbreaks in Realistic Urban Social Networks, Nature (London) 429, 180 (2004).
  17. R. Pastor-Satorras and A. Vespignani, Epidemic Dynamics and Endemic States in Complex Networks, Phys. Rev. E 63, 066117 (2001).
  18. M. E. J. Newman, Spread of Epidemic Disease on Networks, Phys. Rev. E 66, 016128 (2002).
  19. Y. Moreno, R. Pastor-Satorras, and A. Vespignani, Epidemic Outbreaks in Complex Heterogeneous Networks, Eur. Phys. J. B 26, 521 (2002).
  20. C. Castellano and R. Pastor-Satorras, Thresholds for Epidemic Spreading in Networks, Phys. Rev. Lett. 105, 218701 (2010).
  21. M. Boguñá and R. Pastor-Satorras, Epidemic Spreading in Correlated Complex Networks, Phys. Rev. E 66, 047104 (2002).
  22. M. Barthélemy, A. Barrat, R. Pastor-Satorras, and A. Vespignani, Velocity and Hierarchical Spread of Epidemic Outbreaks in Scale-Free Networks, Phys. Rev. Lett. 92, 178701 (2004).
  23. M. Boguña, C. Castellano, and R. Pastor-Satorras, Langevin Approach for the Dynamics of the Contact Process on Annealed Scale-Free Networks, Phys. Rev. E 79, 036110 (2009).
  24. B. Guerra and J. Gómez-Gardeñes, Annealed and Mean-Field Formulations of Disease Dynamics on Static and Adaptive Networks, Phys. Rev. E 82, 035101(R) (2010).
  25. S. Gómez, A. Arenas, J. Borge-Holthoefer, S. Meloni, and Y. Moreno, Discrete-Time Markov Chain Approach to Contact-Based Disease Spreading in Complex Networks, Europhys. Lett. 89, 38009 (2010).
  26. J. Gómez-Gardeñes, V. Latora, Y. Moreno, and E. Profumo, Spreading of Sexually Transmitted Diseases in Heterosexual Populations, Proc. Natl. Acad. Sci. U.S.A. 105, 1399 (2008).
  27. M. Tizzoni, P. Bajardi, C. Poletto, J. J. Ramasco, D. Balcan, B. Gonalves, N. Perra, V. Colizza, and A. Vespignani, Real-Time Numerical Forecast of Global Epidemic Spreading: Case Study of 2009A/H1N1pdm, BMC Med. 10, 165 (2012).
  28. J. Sanz, M. Floría, and Y. Moreno, Spreading of Persistent Infections in Heterogeneous Populations, Phys. Rev. E 81, 056108 (2010).
  29. V. Colizza, R. Pastor-Satorras, and A. Vespignani, Reaction-Diffusion Processes and Metapopulation Models in Heterogeneous Networks, Nat. Phys. 3, 276 (2007).
  30. S. Meloni, N. Perra, A. Arenas, S. Gomez, Y. Moreno, and A. Vespignani, Modeling Human Mobility Responses to the Large-Scale Spreading of Infectious Diseases, Sci. Rep. 1, 62 (2011).
  31. S. Meloni, A. Arenas, and Y. Moreno, Traffic-Driven Epidemic Spreading in Finite-Size Scale-Free Networks, Proc. Natl. Acad. Sci. U.S.A. 106, 16897 (2009).
  32. V. Belik, T. Geisel, and D. Brockmann, Natural Human Mobility Patterns and Spatial Spread of Infectious Diseases, Phys. Rev. X 1, 011001 (2011).
  33. C. Poletto, S. Meloni, V. Colizza, Y. Moreno, and A. Vespignani, Host Mobility Drives Pathogen Competition in Spatially Structured Populations, PLoS Comput. Biol. 9, e1003169 (2013).
  34. F. Liljeros, C. R. Edling, L. A. N. Amaral, H. E. Stanley, and Y. Aberg, The Web of Human Sexual Contacts, Nature (London) 411, 907 (2001).
  35. J. Mossong, N. Hens, M. Jit, P. Beutels, and K. Auranen et al., Social Contacts and Mixing Patterns Relevant to the Spread of Infectious Diseases, PLoS Med. 5, e74 (2008).
  36. B. Karrer and M. E. J. Newman, Competing Epidemics on Complex Networks, Phys. Rev. E 84, 036106 (2011).
  37. S. Funk and V. A. A. Jansen, Interacting Epidemics on Overlay Networks, Phys. Rev. E 81, 036118 (2010).
  38. M. E. J. Newman, Threshold Effects for Two Pathogens Spreading on a Network, Phys. Rev. Lett. 95, 108701 (2005).
  39. V. Marceau, P. A. Noël, L. Hébert-Dufresne, A. Allard, and L. J. Dubé, Modeling the Dynamical Interaction between Epidemics on Overlay Networks, Phys. Rev. E 84, 026105 (2011).
  40. J. A. Nelson, P. Ghazal, and C. A. Wiley, Role of Opportunistic Viral Infections in AIDS, AIDS 4, 1 (1990).
  41. L. H. Kasper and D. Buzoni-Gatel, Some Opportunistic Parasitic Infections in AIDS: Candidiasis, Pneumocystosis, Cryptosporidiosis, Toxoplasmosis, Parasitology Today 14, 150 (1998).
  42. M. Nuño, Z. Feng, M. Martcheva, and C. Castillo-Chavez, Dynamics of Two-Strain Influenza with Isolation and Partial Cross-Immunity, SIAM J. Appl. Math. 65, 964 (2006).
  43. H. L. Mills, A. Ganesh, and C. Colijn, Pathogen Spread on Coupled Networks: Effects of Host and Network Properties on Transmission Threshold, J. Theor. Biol. 320, 47 (2013).
  44. P.-A. Noël, A. Allard, L. Hébert-Dufresne, V. Marceau, and L. J. Dubé, Propagation on Networks: An Exact Alternative Perspective, Phys. Rev. E 85, 031118 (2012).
  45. F. D. Sahneh and C. Scoglio, Competitive Epidemic Spreading Over Arbitrary Multilayer Networks, Phys. Rev. E 89, 062817 (2014).
  46. C. Granell, S. Gómez, and A. Arenas, Dynamical Interplay between Awareness and Epidemic Spreading in Multiplex Networks, Phys. Rev. Lett. 111, 128701 (2013).
  47. M. Kivelä, A. Arenas, M. Barthelemy, J. P. Gleeson, Y. Moreno, and M. A. Porter, Multilayer Networks, J. Complex Network 2, 203 (2014).
  48. M. De Domenico, A. Sole-Ribalta, E. Cozzo, M. Kivela, Y. Moreno, M. A. Porter, S. Gomez, and A. Arenas, Mathematical Formulation of Multilayer Networks, Phys. Rev. X 3, 041022 (2013).
  49. We further assume P(k,l) to be stationary; i.e., the composed distribution does not change.
  50. Z. S. AL-Salloum, Defensive Computer Worms: An Overview, J. Secur. Netw. 7, 59 (2012).
  51. K. Eames and M. J. Keeling, Modeling Dynamic and Network Heterogeneities in the Spread of Sexually Transmitted Diseases, Proc. Natl. Acad. Sci. U.S.A. 99, 13330 (2002).
  52. F. Tria, S. Pompei, and V. Loreto, Dynamically Correlated Mutations Drive Human Influenza A Evolution, Sci. Rep. 3, 2705 (2013).

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