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Volumn 3, Issue 4, 2007, Pages 276-282

Reaction-diffusion processes and metapopulation models in heterogeneous networks

Author keywords

[No Author keywords available]

Indexed keywords

AUTONOMOUS AGENTS; COMPUTATIONAL METHODS; HETEROGENEOUS NETWORKS; PHASE DIAGRAMS; TOPOLOGY;

EID: 34047175259     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys560     Document Type: Article
Times cited : (782)

References (35)
  • 5
    • 0021529194 scopus 로고
    • Spatial heterogeneity and the design of immunization programs
    • Anderson, R. M. & May, R. M. Spatial heterogeneity and the design of immunization programs. Math. Biosci. 72, 83-111 (1984).
    • (1984) Math. Biosci , vol.72 , pp. 83-111
    • Anderson, R.M.1    May, R.M.2
  • 6
    • 0029654470 scopus 로고
    • Space persistence and dynamics of measles epidemics
    • Bolker, B. M. & Grenfell, B. T. Space persistence and dynamics of measles epidemics. Phil. Trans. R. Soc. Lond. B 348, 309-320 (1995).
    • (1995) Phil. Trans. R. Soc. Lond. B , vol.348 , pp. 309-320
    • Bolker, B.M.1    Grenfell, B.T.2
  • 7
    • 0029980587 scopus 로고    scopus 로고
    • Spatial heterogeneity in epidemic models
    • Lloyd, A. L. & May, R. M. Spatial heterogeneity in epidemic models. J. Theor. Biol. 179, 1-11 (1996).
    • (1996) J. Theor. Biol , vol.179 , pp. 1-11
    • Lloyd, A.L.1    May, R.M.2
  • 8
    • 0003022391 scopus 로고    scopus 로고
    • Cities and villages: Infection hierarchies in a measles meta-population
    • Grenfell, B. T. & Bolker, B. M. Cities and villages: Infection hierarchies in a measles meta-population. Ecol. Lett. 1, 63-70 (1998).
    • (1998) Ecol. Lett , vol.1 , pp. 63-70
    • Grenfell, B.T.1    Bolker, B.M.2
  • 9
    • 0036168704 scopus 로고
    • Estimating spatial coupling in epidemiological systems: A mechanistic approach
    • Keeling, M. J. & Rohani, P. Estimating spatial coupling in epidemiological systems: A mechanistic approach. Ecol. Lett. 5, 20-29 (1995).
    • (1995) Ecol. Lett , vol.5 , pp. 20-29
    • Keeling, M.J.1    Rohani, P.2
  • 10
    • 0142246450 scopus 로고    scopus 로고
    • Planning for smallpox outbreaks
    • Ferguson, N. M. et al. Planning for smallpox outbreaks. Nature 425, 681-685 (2003).
    • (2003) Nature , vol.425 , pp. 681-685
    • Ferguson, N.M.1
  • 12
    • 2542440526 scopus 로고    scopus 로고
    • Scale-free networks and sexually transmitted diseases: A description of observed patterns of sexual contacts in Britain and Zimbabwe
    • Schneeberger, A. et al. Scale-free networks and sexually transmitted diseases: A description of observed patterns of sexual contacts in Britain and Zimbabwe. Sex. Transm. Dis. 31, 380-387 (2004).
    • (2004) Sex. Transm. Dis , vol.31 , pp. 380-387
    • Schneeberger, A.1
  • 14
    • 20344377406 scopus 로고    scopus 로고
    • The worldwide air transportation network: Anomalous centrality, community structure, and cities' global roles
    • Guimerà, R., Mossa, S., Turtschi, A. & Amaral, L. A. N. The worldwide air transportation network: Anomalous centrality, community structure, and cities' global roles. Proc. Natl Acad. Sci. USA 102, 7794-7799 (2005).
    • (2005) Proc. Natl Acad. Sci. USA , vol.102 , pp. 7794-7799
    • Guimerà, R.1    Mossa, S.2    Turtschi, A.3    Amaral, L.A.N.4
  • 15
    • 1442354946 scopus 로고    scopus 로고
    • Scaling laws for the movement of people between locations in a large city
    • Chowell, G., Hyman, J. M., Eubank, S. & Castillo-Chavez, C. Scaling laws for the movement of people between locations in a large city. Phys. Rev. E 68, 066102 (2003).
    • (2003) Phys. Rev. E , vol.68 , pp. 066102
    • Chowell, G.1    Hyman, J.M.2    Eubank, S.3    Castillo-Chavez, C.4
  • 16
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • Albert, R. & Barabási, A.-L. Statistical mechanics of complex networks. Rev. Mod. Phys. 74, 47-97 (2002).
    • (2002) Rev. Mod. Phys , vol.74 , pp. 47-97
    • Albert, R.1    Barabási, A.-L.2
  • 17
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • Newman, M. E. J. The structure and function of complex networks. SIAM Rev. 45, 167-256 (2003).
    • (2003) SIAM Rev , vol.45 , pp. 167-256
    • Newman, M.E.J.1
  • 21
    • 0034323311 scopus 로고    scopus 로고
    • Resilience of the Internet to random breakdowns
    • Cohen, R., Erez, K., ben-Avraham, D. & Havlin, S. Resilience of the Internet to random breakdowns. Phys. Rev. Lett. 85, 4626-4628 (2000).
    • (2000) Phys. Rev. Lett , vol.85 , pp. 4626-4628
    • Cohen, R.1    Erez, K.2    ben-Avraham, D.3    Havlin, S.4
  • 22
    • 4243939794 scopus 로고    scopus 로고
    • Network robustness and fragility: Percolation on random graphs
    • Callaway, D. S., Newman, M. E. J., Strogatz, S., H. & Watts, D. J. Network robustness and fragility: Percolation on random graphs. Phys. Rev. Lett. 85, 5468-5471 (2000).
    • (2000) Phys. Rev. Lett , vol.85 , pp. 5468-5471
    • Callaway, D.S.1    Newman, M.E.J.2    Strogatz, S.H.3    Watts, D.J.4
  • 23
    • 0035794256 scopus 로고    scopus 로고
    • Epidemic spreading in scale-free networks
    • Pastor-Satorras, R. & Vespignani, A. Epidemic spreading in scale-free networks. Phys. Rev. Lett. 86, 3200-3203 (2001).
    • (2001) Phys. Rev. Lett , vol.86 , pp. 3200-3203
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 24
    • 36149039879 scopus 로고
    • Epidemics models and percolation
    • Cardy, J. L. & Grassberger, P. Epidemics models and percolation. J. Phys. A 18, L267-L271 (1985).
    • (1985) J. Phys. A , vol.18
    • Cardy, J.L.1    Grassberger, P.2
  • 25
    • 0034206219 scopus 로고    scopus 로고
    • Critical behavior of a two-species reaction-diffusion problem
    • de Freitas, J. E., Lucena, L. S., da Silva, L. R. & Hilhorst, H. J. Critical behavior of a two-species reaction-diffusion problem. Phys. Rev. E 61, 6330-6336 (2000).
    • (2000) Phys. Rev. E , vol.61 , pp. 6330-6336
    • de Freitas, J.E.1    Lucena, L.S.2    da Silva, L.R.3    Hilhorst, H.J.4
  • 26
    • 0034317179 scopus 로고    scopus 로고
    • Field theory of absorbing phase transitions with a nondiffusive conserved field
    • Pastor-Satorras, R. & Vespignani, A. Field theory of absorbing phase transitions with a nondiffusive conserved field. Phys. Rev. E 62, R5875-R5878 (2000).
    • (2000) Phys. Rev. E , vol.62
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 27
    • 0000768072 scopus 로고
    • Effects of pollution on critical population dynamics
    • Kree, R., Schaub, B. & Schmittman, B. Effects of pollution on critical population dynamics. Phys. Rev. A 39, 2214-2221 (1989).
    • (1989) Phys. Rev. A , vol.39 , pp. 2214-2221
    • Kree, R.1    Schaub, B.2    Schmittman, B.3
  • 28
    • 0032021842 scopus 로고    scopus 로고
    • Wilson renormalization of a reaction-diffusion process
    • van Wijland, F., Oerding, K. & Hilhorst, H. J. Wilson renormalization of a reaction-diffusion process. PhysicaA 251, 179-201 (1998).
    • (1998) PhysicaA , vol.251 , pp. 179-201
    • van Wijland, F.1    Oerding, K.2    Hilhorst, H.J.3
  • 29
    • 0022394032 scopus 로고
    • A mathematical model for the global spread of influenza
    • Rvachev, L. A. & Longini, I. M. A mathematical model for the global spread of influenza. Math. Biosci. 75, 3-22 (1985).
    • (1985) Math. Biosci , vol.75 , pp. 3-22
    • Rvachev, L.A.1    Longini, I.M.2
  • 30
    • 6344221308 scopus 로고    scopus 로고
    • Forecast and control of epidemics in a globalized world
    • Hufnagel, L., Brockmann, D. & Geisel, T. Forecast and control of epidemics in a globalized world. Proc. Natl Acad. Sci. USA 101, 15124-15129 (2004).
    • (2004) Proc. Natl Acad. Sci. USA , vol.101 , pp. 15124-15129
    • Hufnagel, L.1    Brockmann, D.2    Geisel, T.3
  • 31
    • 33144474437 scopus 로고    scopus 로고
    • The role of the airline transportation network in the prediction and predictability of global epidemics
    • Colizza, V., Barrat, A., Barthélemy, M. & Vespignani, A. The role of the airline transportation network in the prediction and predictability of global epidemics. Proc. Natl Acad. Sci. USA 103, 2015-2020 (2006).
    • (2006) Proc. Natl Acad. Sci. USA , vol.103 , pp. 2015-2020
    • Colizza, V.1    Barrat, A.2    Barthélemy, M.3    Vespignani, A.4
  • 33
    • 18744389789 scopus 로고    scopus 로고
    • Assortative mixing in networks
    • Newman, M. E. J. Assortative mixing in networks. Phys. Rev. Lett. 89, 208701 (2002).
    • (2002) Phys. Rev. Lett , vol.89 , pp. 208701
    • Newman, M.E.J.1
  • 34
    • 34548491989 scopus 로고    scopus 로고
    • Generation of uncorrelated random scale-free networks
    • Catanzaro, M., Boguna, M. & Pastor-Satorras, R. Generation of uncorrelated random scale-free networks. Phys. Rev. E71, 027103 (2005).
    • (2005) Phys. Rev. E , vol.71 , pp. 027103
    • Catanzaro, M.1    Boguna, M.2    Pastor-Satorras, R.3
  • 35
    • 84990671447 scopus 로고
    • A critical point for random graphs with a given degree sequence
    • Molloy, M. & Reed, B. A critical point for random graphs with a given degree sequence. Random Struct. Algorithms 6, 161-179 (1995).
    • (1995) Random Struct. Algorithms , vol.6 , pp. 161-179
    • Molloy, M.1    Reed, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.