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Articles

Complex contagion leads to complex dynamics in models coupling behaviour and disease

ORCID Icon, &
Pages 1035-1058 | Received 10 Apr 2018, Accepted 10 Nov 2018, Published online: 25 Nov 2018

References

  • C.T. Bauch, A.P. Galvani, Social and biological contagions. Science (New York, NY) 342 (2013), pp. 47. doi: 10.1126/science.1244492
  • D. Bernoulli, Essai d'une nouvelle analyse de la mortalité causée par la petite vérole et des avantages de l'inoculation pour la prévenir, Histoire de l'Acad. Roy. Sci.(Paris) avec Mém. des Math. et Phys. and Mém 1 (1760), pp. 1–45.
  • D. Bernoulli and S. Blower, An attempt at a new analysis of the mortality caused by smallpox and of the advantages of inoculation to prevent it, Rev. Med. Virol. 14 (2004), pp. 275–288. doi: 10.1002/rmv.443
  • S. Boccaletti, G. Bianconi, R. Criado, C.I. Del Genio, J. Gómez-Gardenes, M. Romance, I. Sendina-Nadal, Z. Wang, and M. Zanin, The structure and dynamics of multilayer networks, Phys. Rep. 544 (2014), pp. 1–122. doi: 10.1016/j.physrep.2014.07.001
  • W. Cates Jr and K.M. Stone, Family planning, sexually transmitted diseases and contraceptive choice: A literature update–part I, Fam. Plann. Perspectives 24 (1992), pp. 75–84. doi: 10.2307/2135469
  • D. Centola, The spread of behavior in an online social network experiment, Science 329 (2010), pp. 1194–1197. doi: 10.1126/science.1185231
  • Y. Choudhri, J. Miller, J. Sandhu, A. Leon, and J. Aho, Infectious and congenital syphilis in canada, 2010–2015, Sex. Trans. Infect. 44 (2018), pp. 43.
  • N.A. Christakis and J.H. Fowler, The spread of obesity in a large social network over 32 years, New Engl. J. Med. 2007 (2007), pp. 370–379. doi: 10.1056/NEJMsa066082
  • O. Diekmann, J.A.P. Heesterbeek, and J.A. Metz, On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations, J. Math. Biol. 28 (1990), pp. 365–382. doi: 10.1007/BF00178324
  • M.C. Eisenberg, Z. Shuai, J.H. Tien, and P. Van den Driessche, A cholera model in a patchy environment with water and human movement, Math. Biosci. 246 (2013), pp. 105–112. doi: 10.1016/j.mbs.2013.08.003
  • J.M. Epstein, J. Parker, D. Cummings, and R.A. Hammond, Coupled contagion dynamics of fear and disease: Mathematical and computational explorations, PLoS One 3 (2008), pp. e3955. doi: 10.1371/journal.pone.0003955
  • J.D. Fortenberry, W. Tu, J. Harezlak, B.P. Katz, and D.P. Orr, Condom use as a function of time in new and established adolescent sexual relationships, Am. J. Public Health 92 (2002), pp. 211–213. doi: 10.2105/AJPH.92.2.211
  • F. Fu, N.A. Christakis, and J.H. Fowler, Dueling biological and social contagions, Sci. Rep. 7 (2017), pp. 43634. doi: 10.1038/srep43634
  • S. Funk, S. Bansal, C.T. Bauch, K.T. Eames, W.J. Edmunds, A.P. Galvani, and P. Klepac, Nine challenges in incorporating the dynamics of behaviour in infectious diseases models, Epidemics 10 (2015), pp. 21–25. doi: 10.1016/j.epidem.2014.09.005
  • S. Funk, E. Gilad, and V. Jansen, Endemic disease, awareness, and local behavioural response, J. Theor. Biol. 264 (2010), pp. 501–509. doi: 10.1016/j.jtbi.2010.02.032
  • S. Funk, E. Gilad, C. Watkins, and V.A. Jansen, The spread of awareness and its impact on epidemic outbreaks, Proc. Natl. Acad. Sci. 106 (2009), pp. 6872–6877. doi: 10.1073/pnas.0810762106
  • S. Funk, M. Salathé, and V.A.A. Jansen, Modelling the influence of human behaviour on the spread of infectious diseases: A review, J. R. Soc. Interface 7 (2010), pp. 1247–1256. doi: 10.1098/rsif.2010.0142
  • M.F. Gallo, M.J. Steiner, M.M. Hobbs, L. Warner, D.J. Jamieson, and M. Macaluso, Biological markers of sexual activity: Tools for improving measurement in HIV/sexually transmitted infection prevention research, Sex. Trans. Dis. 40 (2013), pp. 447–452. doi: 10.1097/OLQ.0b013e31828b2f77
  • M. Gerrard, F.X. Gibbons, and B.J. Bushman, Relation between perceived vulnerability to HIV and precautionary sexual behavior, Psychol. Bull. 119 (1996), pp. 390. doi: 10.1037/0033-2909.119.3.390
  • W. Goffman and V.A. Newill, Generalization of epidemic theory: An application to the transmission of ideas, Nature 204 (1964), pp. 225–228. doi: 10.1038/204225a0
  • C. Granell, S. Gómez, and A. Arenas, Dynamical interplay between awareness and epidemic spreading in multiplex networks, Phys. Rev. Lett. 111 (2013), pp. 128701. doi: 10.1103/PhysRevLett.111.128701
  • T. Gross and B. Blasius, Adaptive coevolutionary networks: A review, J. R. Soc. Interface 5 (2008), pp. 259–271. doi: 10.1098/rsif.2007.1229
  • T. Gross, C.J.D. D'Lima, and B. Blasius, Epidemic dynamics on an adaptive network, Phys. Rev. Lett. 96 (2006), pp. 208701. doi: 10.1103/PhysRevLett.96.208701
  • T. Gross and I.G. Kevrekidis, Robust oscillations in SIS epidemics on adaptive networks: Coarse graining by automated moment closure, EPL (Europhys. Lett.) 82 (2008), pp. 38004. doi: 10.1209/0295-5075/82/38004
  • M.A. Hayashi and M.C. Eisenberg, Effects of adaptive protective behavior on the dynamics of sexually transmitted infections, J. Theor. Biol. 388 (2016), pp. 119–130. doi: 10.1016/j.jtbi.2015.08.022
  • G.M. Herek, E.K. Glunt, An Epidemic of Stigma: Public Reactions to AIDS. vol. 43, American Psychological Association, Washington D.C., 1988
  • H. Hethcote and J. Yorke, Gonorrhea Transmission Dynamics and Control (Lecture Notes in Biomathematics 56), Springer-Verlag, New York, 1984.
  • H.W. Hethcote and P. Van Den Driessche, Some epidemiological models with nonlinear incidence, J. Math. Biol. 29 (1991), pp. 271–287. doi: 10.1007/BF00160539
  • K.K. Holmes, R. Levine, and M. Weaver, Effectiveness of condoms in preventing sexually transmitted infections, Bull. World Health Organ. 82 (2004), pp. 454–461.
  • W.O. Kermack and A.G. McKendrick, A contribution to the mathematical theory of epidemics, in Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol. 115, The Royal Society, 1927, pp. 700–721
  • S.B. Kinsman, D. Romer, F.F. Furstenberg, and D.F. Schwarz, Early sexual initiation: The role of peer norms, Pediatrics 102 (1998), pp. 1185–1192. doi: 10.1542/peds.102.5.1185
  • I.Z. Kiss, L. Berthouze, T.J. Taylor, and P.L. Simon, Modelling approaches for simple dynamic networks and applications to disease transmission models, in Proc. R. Soc. A, vol. 468, The Royal Society, 2012, pp. 1332–1355
  • I.Z. Kiss, J. Cassell, M. Recker, and P.L. Simon, The impact of information transmission on epidemic outbreaks, Math. Biosci. 225 (2010), pp. 1–10. doi: 10.1016/j.mbs.2009.11.009
  • W.-m. Liu, H.W. Hethcote, and S.A. Levin, Dynamical behavior of epidemiological models with nonlinear incidence rates, J. Math. Biol. 25 (1987), pp. 359–380. doi: 10.1007/BF00277162
  • W.-m. Liu, S.A. Levin, and Y. Iwasa, Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models, J. Math. Biol. 23 (1986), pp. 187–204. doi: 10.1007/BF00276956
  • A. Lynch, Thought contagion as abstract evolution, J. Ideas 2 (1991), pp. 3–10.
  • J.M. Mann, AIDS in the World, Harvard University Press, Cambridge, MA, 1992.
  • B. Mønsted, P. Sapieżyński, E. Ferrara, and S. Lehmann, Evidence of complex contagion of information in social media: An experiment using twitter bots, PloS One 12 (2017), pp. e0184148. doi: 10.1371/journal.pone.0184148
  • J.T. Parsons, P.N. Halkitis, D. Bimbi, and T. Borkowski, Perceptions of the benefits and costs associated with condom use and unprotected sex among late adolescent college students, J. Adolesc. 23 (2000), pp. 377–391. doi: 10.1006/jado.2000.0326
  • N. Perra, D. Balcan, B. Gonçalves, and A. Vespignani, Towards a characterization of behavior-disease models, PloS One 6 (2011), pp. e23084. doi: 10.1371/journal.pone.0023084
  • J.H. Pleck, F.L. Sonenstein, and L.C. Ku, Adolescent males' condom use: Relationships between perceived cost-benefits and consistency, J. Marriage Fam. 53 (1991), pp. 733–745. doi: 10.2307/352747
  • T.C. Reluga, C.T. Bauch, and A.P. Galvani, Evolving public perceptions and stability in vaccine uptake, Math. Biosci. 204 (2006), pp. 185–198. doi: 10.1016/j.mbs.2006.08.015
  • D. Romer, M. Black, I. Ricardo, S. Feigelman, L. Kaljee, J. Galbraith, R. Nesbit, R.C. Hornik, and B. Stanton, Social influences on the sexual behavior of youth at risk for HIV exposure, Am. J. Public Health 84 (1994), pp. 977–985. doi: 10.2105/AJPH.84.6.977
  • F.D. Sahneh, F.N. Chowdhury, and C.M. Scoglio, On the existence of a threshold for preventive behavioral responses to suppress epidemic spreading, Sci. Rep. 2 (2012), pp. 632. doi: 10.1038/srep00632
  • L.B. Shaw and I.B. Schwartz, Fluctuating epidemics on adaptive networks, Phys. Rev. E 77 (2008), pp. 066101. doi: 10.1103/PhysRevE.77.066101
  • P. Sheeran, C. Abraham, and S. Orbell, Psychosocial correlates of heterosexual condom use: A meta-analysis, Psychol. Bull. 125 (1999), pp. 90. doi: 10.1037/0033-2909.125.1.90
  • J. Snow, On the Mode of Communication of Cholera, John Churchill, New Burlington Street. London, 1855.
  • D.A. Sprague and T. House, Evidence for complex contagion models of social contagion from observational data, PloS one 12 (2017), pp. e0180802. doi: 10.1371/journal.pone.0180802
  • L.V. Stamm and B. Mudrak, Old foes, new challenges: Syphilis, cholera and TB, Future Microbiol. 8 (2013), pp. 177–189. doi: 10.2217/fmb.12.148
  • A. Szabó-Solticzky, L. Berthouze, I.Z. Kiss, and P.L. Simon, Oscillating epidemics in a dynamic network model: Stochastic and mean-field analysis, J. Math. Biol. 72 (2016), pp. 1153–1176. doi: 10.1007/s00285-015-0902-3
  • S.M. Tracht, S.Y. DelValle, and J.M. Hyman, Mathematical modelling of the effectiveness of facemasks in reducing the spread of novel influenza A (H1N1), PloS One 5 (2010), pp. e9018. doi: 10.1371/journal.pone.0009018
  • I. Tunc and L.B. Shaw, Effects of community structure on epidemic spread in an adaptive network, Phys. Rev. E 90 (2014), pp. 022801. doi: 10.1103/PhysRevE.90.022801
  • P. Van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci. 180 (2002), pp. 29–48. doi: 10.1016/S0025-5564(02)00108-6
  • Z. Wang, M.A. Andrews, Z.-X. Wu, L. Wang, and C.T. Bauch, Coupled disease–behavior dynamics on complex networks: A review, Phys. Life Rev. 15 (2015), pp. 1–29. doi: 10.1016/j.plrev.2015.07.006
  • W. Wang, Q.-H. Liu, S.-M. Cai, M. Tang, L.A. Braunstein, and H.E. Stanley, Suppressing disease spreading by using information diffusion on multiplex networks, Sci. Rep. 6 (2016), pp. 29259. doi: 10.1038/srep29259
  • W. Wang, M. Tang, H. Yang, Y. Do, Y.-C. Lai, and G. Lee, Asymmetrically interacting spreading dynamics on complex layered networks, Sci. Rep. 4 (2014), pp. 5097. doi: 10.1038/srep05097
  • Q. Wu, X. Fu, M. Small, and X.-J. Xu, The impact of awareness on epidemic spreading in networks, Chaos: Interdiscip. J. Nonlinear Sci. 22 (2012), pp. 013101.
  • D. Zhao, L. Li, H. Peng, Q. Luo, and Y. Yang, Multiple routes transmitted epidemics on multiplex networks, Phys. Lett. A 378 (2014), pp. 770–776. doi: 10.1016/j.physleta.2014.01.014