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Volumn 2, Issue 4, 2008, Pages 184-201

Designing spatially heterogeneous strategies for control of virus spread

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LAGRANGE MULTIPLIERS; STRUCTURAL OPTIMIZATION; TOPOLOGY; VIRUSES;

EID: 48949096245     PISSN: 17518849     EISSN: None     Source Type: Journal    
DOI: 10.1049/iet-syb:20070040     Document Type: Article
Times cited : (125)

References (63)
  • 1
    • 41349106738 scopus 로고    scopus 로고
    • 'Immunization of complex networks'
    • 10.1103/PhysRevE.65.036104
    • Pastor-Satorras, R., and Vespignani, A.: 'Immunization of complex networks', Phys. Rev. E, 2002, 65, (3), p. 036104 10.1103/ PhysRevE.65.036104
    • (2002) Phys. Rev. E , vol.65 , Issue.3 , pp. 036104
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 3
    • 12444260277 scopus 로고    scopus 로고
    • 'Transmission dynamics of the etiological agent of SARS in Hong Kong: Impact of public health interventions'
    • 0036-8075
    • Riley, S., Fraser, C., and Donnelly, C.A.: Et al. 'Transmission dynamics of the etiological agent of SARS in Hong Kong: Impact of public health interventions', Science, 2003, 300, p. 1961-1966 0036-8075
    • (2003) Science , vol.300 , pp. 1961-1966
    • Riley, S.1    Fraser, C.2    Donnelly, C.A.3
  • 5
    • 64149119332 scopus 로고    scopus 로고
    • 'Consensus and cooperation in networked multi-agent systems'
    • 0018-9219
    • Olfati-Saber, R., Fax, J.A., and Murray, R.M.: 'Consensus and cooperation in networked multi-agent systems', Proc. IEEE, 2007, 95, (1), p. 215-233 0018-9219
    • (2007) Proc. IEEE , vol.95 , Issue.1 , pp. 215-233
    • Olfati-Saber, R.1    Fax, J.A.2    Murray, R.M.3
  • 6
    • 33947619951 scopus 로고    scopus 로고
    • 'Graph theory and networks in biology'
    • 10.1049/iet-syb:20060038
    • Mason, O., and Verwoerd, M.: 'Graph theory and networks in biology', IET Syst. Biol., 2007, 1, (2), p. 89-119 10.1049/iet-syb:20060038
    • (2007) IET Syst. Biol. , vol.1 , Issue.2 , pp. 89-119
    • Mason, O.1    Verwoerd, M.2
  • 7
    • 0015672666 scopus 로고
    • 'On the stabilization of decentralized control systems'
    • 10.1109/TAC.1973.1100362 0018-9286
    • Wang, S., and Davison, E.J.: 'On the stabilization of decentralized control systems', IEEE Trans. Autom. Control, 1973, AC-18, p. 473-478 10.1109/TAC.1973.1100362 0018-9286
    • (1973) IEEE Trans. Autom. Control , vol.AC-18 , pp. 473-478
    • Wang, S.1    Davison, E.J.2
  • 8
    • 35649012610 scopus 로고    scopus 로고
    • 'Scaling: A canonical design problem for networks'
    • Minneapolis, MN, June Extended version in the Int. J., Control., 2007, (8)
    • Roy,AS., Saberi, A., and Petite, P.: 'Scaling: a canonical design problem for networks', Proc. 50th American Control Conf., Minneapolis, MN, June 2006, 80, p. 1342-1353 Extended version in the Int. J., Control., 2007, (8)
    • (2006) Proc. 50th American Control Conf. , vol.80 , pp. 1342-1353
    • Roy, S.1    Saberi, A.2    Petite, P.3
  • 9
    • 0003677583 scopus 로고
    • 'Infectious diseases of humans dynamics and control'
    • (Oxford University Press)
    • Anderson, R.M., and May, R.M.: 'Infectious diseases of humans dynamics and control', (Oxford University Press 1991)
    • (1991)
    • Anderson, R.M.1    May, R.M.2
  • 10
    • 27844451285 scopus 로고    scopus 로고
    • 'The basic reproduction number in a multi-city compartmental epidemic model'
    • LNCIS
    • Arino, J., and van den Driessche, P.: 'The basic reproduction number in a multi-city compartmental epidemic model', Positive Syst., 2003, 294, p. 135-142 LNCIS
    • (2003) Positive Syst. , vol.294 , pp. 135-142
    • Arino, J.1    van den Driessche, P.2
  • 12
    • 12444346408 scopus 로고    scopus 로고
    • 'Transmission dynamics and control of severe acute respiratory syndrome'
    • 0036-8075
    • Lipsitch, M., Cohen, T., and Cooper, B.: Et al. 'Transmission dynamics and control of severe acute respiratory syndrome', Science, 2003, 300, p. 1966-1970 0036-8075
    • (2003) Science , vol.300 , pp. 1966-1970
    • Lipsitch, M.1    Cohen, T.2    Cooper, B.3
  • 14
    • 23844456922 scopus 로고    scopus 로고
    • 'Multiscale, resurgent epidemics in a hierarchical metapopulation model'
    • Watts, D.J., Muhamad, R., Medina, D.C., and Dodds, P.S.: 'Multiscale, resurgent epidemics in a hierarchical metapopulation model', Proc. Nal. Acad. Sci. US, 2005, 102, (32), p. 11157-11162
    • (2005) Proc. Nal. Acad. Sci. US , vol.102 , Issue.32 , pp. 11157-11162
    • Watts, D.J.1    Muhamad, R.2    Medina, D.C.3    Dodds, P.S.4
  • 15
    • 0036845274 scopus 로고    scopus 로고
    • 'Reproduction numbers and sub-threshold endemic equilibria for compartmental models for disease transmission'
    • 0025-5564
    • van den Driessche, P., and Watmough, J.: 'Reproduction numbers and sub-threshold endemic equilibria for compartmental models for disease transmission', Math. Biosci., 2002, 180, p. 29-48 0025-5564
    • (2002) Math. Biosci. , vol.180 , pp. 29-48
    • van den Driessche, P.1    Watmough, J.2
  • 16
    • 0018247773 scopus 로고
    • 'An immunization model for a heterogeneous population'
    • Hethcote, H.W.: 'An immunization model for a heterogeneous population', Theor. Popul. Biol., 1978, 14, (3), p. 338-349
    • (1978) Theor. Popul. Biol. , vol.14 , Issue.3 , pp. 338-349
    • Hethcote, H.W.1
  • 17
    • 0021529194 scopus 로고
    • 'Spatial heterogeneity and the design of immunization programs'
    • 0025-5564
    • May, R.M., and Anderson, R.M.: 'Spatial heterogeneity and the design of immunization programs', Math. Biosci., 1984, 72, p. 83-111 0025-5564
    • (1984) Math. Biosci. , vol.72 , pp. 83-111
    • May, R.M.1    Anderson, R.M.2
  • 18
    • 0036168704 scopus 로고    scopus 로고
    • 'Estimating spatial coupling in epidemiological systems: A mechanistic approach'
    • Keeling, M.J., and Rohani, P.: 'Estimating spatial coupling in epidemiological systems: A mechanistic approach', Ecol. Lett., 2002, 5, p. 20-29
    • (2002) Ecol. Lett. , vol.5 , pp. 20-29
    • Keeling, M.J.1    Rohani, P.2
  • 19
    • 0029980587 scopus 로고    scopus 로고
    • 'Spatial heterogeneity in epidemic models'
    • Llyod, A.L., and May, R.M.: 'Spatial heterogeneity in epidemic models', J. Theor. Biol., 1996, 179, p. 1-11
    • (1996) J. Theor. Biol. , vol.179 , pp. 1-11
    • Llyod, A.L.1    May, R.M.2
  • 20
    • 0031418824 scopus 로고    scopus 로고
    • '(Meta)population dynamics of infectious diseases'
    • Grenfell, B., and harwood, J.: '(Meta)population dynamics of infectious diseases', Trends Ecol. Evol., 1997, 12, (10), p. 395-399
    • (1997) Trends Ecol. Evol. , vol.12 , Issue.10 , pp. 395-399
    • Grenfell, B.1    Harwood, J.2
  • 21
    • 0003022391 scopus 로고    scopus 로고
    • 'Cities and villages: Infection hierarchies in a measles metapopulation'
    • Grenfell, B.T., Ind Bolker, B.M.: 'Cities and villages: infection hierarchies in a measles metapopulation', Ecol. Lett., 1998, 1, p. 63-70
    • (1998) Ecol. Lett. , vol.1 , pp. 63-70
    • Grenfell, B.T.1    Bolker, B.M.2
  • 22
    • 0142246450 scopus 로고    scopus 로고
    • 'Planning for smallpox outbreaks'
    • 0028-0836
    • Ferguson, N.M., Keeling, M.J., and Edmunds, W.J.: Et al. 'Planning for smallpox outbreaks', Nature, 2003, 425, p. 681-685 0028-0836
    • (2003) Nature , vol.425 , pp. 681-685
    • Ferguson, N.M.1    Keeling, M.J.2    Edmunds, W.J.3
  • 23
    • 0022394032 scopus 로고
    • 'A mathematical model for the global spread of influenza'
    • 10.1016/0025-5564(85)90064-1 0025-5564
    • Rvachev, L.A.: 'A mathematical model for the global spread of influenza', Math. Biosci., 1985, 75, p. 3-22 10.1016/ 0025-5564(85)90064-1 0025-5564
    • (1985) Math. Biosci. , vol.75 , pp. 3-22
    • Rvachev, L.A.1
  • 24
    • 0242301057 scopus 로고    scopus 로고
    • 'Assessing the impact of airline travel on the geographic spread of pandemic influenza'
    • Grais, R.F., Ellis, J.H., and Glass, G.E.: 'Assessing the impact of airline travel on the geographic spread of pandemic influenza', Eur. J. Epidemiol., 2003, 18, p. 1065-1072
    • (2003) Eur. J. Epidemiol. , vol.18 , pp. 1065-1072
    • Grais, R.F.1    Ellis, J.H.2    Glass, G.E.3
  • 25
    • 33144474437 scopus 로고    scopus 로고
    • 'The role of the airline transportation network in the prediction and predictability of global epidemics'
    • Colizza, V., Barret, A., Barthélemy, M., and Vespignani, A.: 'The role of the airline transportation network in the prediction and predictability of global epidemics', Proc. Natl. Acad. Sci., 2006, 103, (7), p. 2015-2020
    • (2006) Proc. Natl. Acad. Sci. , vol.103 , Issue.7 , pp. 2015-2020
    • Colizza, V.1    Barret, A.2    Barthélemy, M.3    Vespignani, A.4
  • 26
    • 6344221308 scopus 로고    scopus 로고
    • 'Forecast and control of epidemics in a globalized world'
    • Ufnagel, L., Brockmann, D., and Geisel, T.: 'Forecast and control of epidemics in a globalized world', Proc. Natl. Acad. Sci., 2004, 101, (42), p. 15124-15129
    • (2004) Proc. Natl. Acad. Sci. , vol.101 , Issue.42 , pp. 15124-15129
    • Ufnagel, L.1    Brockmann, D.2    Geisel, T.3
  • 27
    • 34047175259 scopus 로고    scopus 로고
    • 'Reaction-diffusion processes and metapopulation models in heterogeneous networks'
    • Colizza, V., Pastor-Satorras, R., and Vespignani, A.: 'Reaction-diffusion processes and metapopulation models in heterogeneous networks', Nature Phys., 2007, 3
    • (2007) Nature Phys. , vol.3
    • Colizza, V.1    Pastor-Satorras, R.2    Vespignani, A.3
  • 30
    • 2442704222 scopus 로고    scopus 로고
    • 'A double epidemic model for the SARS propagation'
    • Ng, T.W., Turinici, G., and Danchin, A.: 'A double epidemic model for the SARS propagation', BMC Infect. Dis., 2003, 3, p. 19
    • (2003) BMC Infect. Dis. , vol.3 , pp. 19
    • Ng, T.W.1    Turinici, G.2    Danchin, A.3
  • 31
    • 0029654470 scopus 로고
    • 'Space, persistence and dynamics of measles epidemics'
    • Bolker, B., and Granfell, B.: 'Space, persistence and dynamics of measles epidemics', Philos. Trans. R. Soc. Lond. B, 1995, 348, p. 309-320
    • (1995) Philos. Trans. R. Soc. Lond. B , vol.348 , pp. 309-320
    • Bolker, B.1    Granfell, B.2
  • 32
    • 0032491877 scopus 로고    scopus 로고
    • 'Persistence, chaos and synchrony in ecology and epidemiology'
    • Earn, D.J.D., Rohani, P., and Grenfell, B.T.: 'Persistence, chaos and synchrony in ecology and epidemiology', Proc. R. Soc. Lond. B, 1998, 265, p. 7-10
    • (1998) Proc. R. Soc. Lond. B , vol.265 , pp. 7-10
    • Earn, D.J.D.1    Rohani, P.2    Grenfell, B.T.3
  • 33
    • 0033615482 scopus 로고    scopus 로고
    • 'Opposite pattens of synchrony in sympatric disease metapopulations'
    • 0036-8075
    • Rohani, P., Earn, D.J.D., and Grenfell, B.T.: 'Opposite pattens of synchrony in sympatric disease metapopulations', Science, 1999, 286, (5441), p. 968-971 0036-8075
    • (1999) Science , vol.286 , Issue.5441 , pp. 968-971
    • Rohani, P.1    Earn, D.J.D.2    Grenfell, B.T.3
  • 34
    • 0033794910 scopus 로고    scopus 로고
    • 'Metapopulation moments: Coupling, stochasticity and persistence'
    • Keeling, M.J.: 'MetCpopulation moments: coupling, stochasticity and persistence', J. Anim. Ecol., 2000, 69, p. 725-736
    • (2000) J. Anim. Ecol. , vol.69 , pp. 725-736
    • Keeling, M.J.1
  • 35
    • 14644431844 scopus 로고    scopus 로고
    • 'Controlling emerging infectious diseases like SARS'
    • 0025-5564
    • Becker, N.G., Glass, K., Li, Z., and Aldis, G.K.: 'Controlling emerging infectious diseases like SARS', Math. Biosci., 2005, 193, p. 205-221 0025-5564
    • (2005) Math. Biosci. , vol.193 , pp. 205-221
    • Becker, N.G.1    Glass, K.2    Li, Z.3    Aldis, G.K.4
  • 36
    • 42949124378 scopus 로고    scopus 로고
    • 'A new focus in the science of networks: Toward methods for design'
    • Wan, Y., Roy, S., and Saberi, A.: 'A new focus in the science of networks: Toward methods for design', Proc. R. Soc. A, 2008, 464, p. 513-535
    • (2008) Proc. R. Soc. A , vol.464 , pp. 513-535
    • Wan, Y.1    Roy, S.2    Saberi, A.3
  • 37
    • 37349127458 scopus 로고    scopus 로고
    • 'A scalable methodology for designing coordinated flow management strategies under uncertainty'
    • Hilton Head, South Carolina, August 20-23 2007, extended version in IEEE Trans. Intell. Transp. Syst., (to appear)
    • Wan, Y., and Roy, S.: 'A scalable methodology for designing coordinated flow management strategies under uncertainty', Proc. AIAA 2007 Guidance, Navigation, and Control Conf., Hilton Head, South Carolina, August 20-23 2007, extended version in IEEE Trans. Intell. Transp. Syst., (to appear)
    • Proc. AIAA 2007 Guidance, Navigation, and Control Conf.
    • Wan, Y.1    Roy, S.2
  • 38
    • 7644242473 scopus 로고    scopus 로고
    • 'A simple cellular automaton model for influenza A viral infections'
    • Beauchemin, C., Samuel, J., and Tuszynski, J.: 'A simple cellular automaton model for influenza A viral infections', J. Theor. Biol., 2005, 232, p. 223-234
    • (2005) J. Theor. Biol. , vol.232 , pp. 223-234
    • Beauchemin, C.1    Samuel, J.2    Tuszynski, J.3
  • 39
    • 8844253254 scopus 로고    scopus 로고
    • 'Simulating SARS: Small-world epidemiological modeling and public health policy assessments'
    • available online at
    • Huang, C.-Y., Sun, C.-T., Hsieh, J.-L., and Lin, H.: 'Simulating SARS: small-world epidemiological modeling and public health policy assessments', J. Artificial Societies Social Simulation, 2004, 7, (4), available online at http://jasss.soc.surrey.ac.uk/7/4/2.html
    • (2004) J. Artificial Societies Social Simulation , vol.7 , Issue.4
    • Huang, C.-Y.1    Sun, C.-T.2    Hsieh, J.-L.3    Lin, H.4
  • 41
    • 41349118476 scopus 로고    scopus 로고
    • 'Halting viruses in scale-free networks'
    • Dezsõ, Z., and Barabási, A.-L.: 'Halting viruses in scale-free networks', Phys. Rev. E, 2002, 65, p. 055103(R)
    • (2002) Phys. Rev. E , vol.65
    • Dezsõ, Z.1    Barabási, A.-L.2
  • 42
    • 41349112686 scopus 로고    scopus 로고
    • 'Epidemic dynamics in finite size scale-free networks'
    • Pastor-Satorras, R., and Vespignani, A.: 'Epidemic dynamics in finite size scale-free networks', Phys. Rev. E, 2002, 65, p. 035108(R)
    • (2002) Phys. Rev. E , vol.65
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 43
    • 0035794256 scopus 로고    scopus 로고
    • 'Epidemic spreading in scale-free networks'
    • 10.1103/PhysRevLett.86.3200 0031-9007
    • Pastor-Satorras, R., and Vespignani, A.: 'Epidemic spreading in scale-free networks', Phys. Rev. Lett., 2001, 86, (14), p. 3200-3203 10.1103/PhysRevLett.86.3200 0031-9007
    • (2001) Phys. Rev. Lett. , vol.86 , Issue.14 , pp. 3200-3203
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 44
    • 41349119541 scopus 로고    scopus 로고
    • 'Epidemic spreading in correlated complex networks'
    • Boguñá, M., and Pastor-Satorras, R.: 'Epidemic spreading in correlated complex networks', Phys. Rev. E, 2002, 66, (4), p. 047104
    • (2002) Phys. Rev. E , vol.66 , Issue.4 , pp. 047104
    • Boguñá, M.1    Pastor-Satorras, R.2
  • 45
    • 0035907006 scopus 로고    scopus 로고
    • 'How viruses spread among computers and people'
    • 0036-8075
    • Lloyd, A.L., and May, R.M.: 'How viruses spread among computers and people', Science, 2001, 292, (5520), p. 1316-1317 0036-8075
    • (2001) Science , vol.292 , Issue.5520 , pp. 1316-1317
    • Lloyd, A.L.1    May, R.M.2
  • 48
    • 0015672666 scopus 로고
    • 'On the stabilization of decentralized control systems'
    • 0018-9286
    • Wang, S., and Davison, E.J.: 'On the stabilization of decentralized control systems', IEEE Trans. Autom. Control, 1973, AC-18, p. 473-478 0018-9286
    • (1973) IEEE Trans. Autom. Control , vol.AC-18 , pp. 473-478
    • Wang, S.1    Davison, E.J.2
  • 49
    • 0016998586 scopus 로고
    • 'Decentralized control of linear multivariable systems'
    • 10.1016/0005-1098(76)90008-X 0005-1098
    • Corfmat, J.P., and Morse, A.S.: 'Decentralized control of linear multivariable systems', Automatica, 1976, 12, p. 479-495 10.1016/ 0005-1098(76)90008-X 0005-1098
    • (1976) Automatica , vol.12 , pp. 479-495
    • Corfmat, J.P.1    Morse, A.S.2
  • 50
    • 33746345579 scopus 로고    scopus 로고
    • 'A control-theoretic perspective on distributed discrete-valued decision-making in networks of sensing agents'
    • 1536-1233
    • Roy, S., Herlugson, K., and Saberi, A.: 'A control-theoretic perspective on distributed discrete-valued decision-making in networks of sensing agents', IEEE Trans. Mob. Comput., 2006, 5, (8), p. 945-957 1536-1233
    • (2006) IEEE Trans. Mob. Comput. , vol.5 , Issue.8 , pp. 945-957
    • Roy, S.1    Herlugson, K.2    Saberi, A.3
  • 51
    • 48949092788 scopus 로고    scopus 로고
    • 'On structural properties of the Lyapunov matrix equation for optimal diagonal Lyapunov functions'
    • submitted as a technical correspondence to the IEEE Trans. Autom. Control, (to appear)
    • Roy, S., and Saberi, A.: 'On structural properties of the Lyapunov matrix equation for optimal diagonal Lyapunov functions', submitted as a technical correspondence to the IEEE Trans. Autom. Control, (to appear)
    • Roy, S.1    Saberi, A.2
  • 56
    • 0003882879 scopus 로고    scopus 로고
    • (American Mathematical Society Press, Providence, RI)
    • Chung, F.R.K.: 'Spectral graph theory', (American Mathematical Society Press, Providence, RI 1997)
    • (1997) 'Spectral Graph Theory'
    • Chung, F.R.K.1
  • 57
    • 2442686815 scopus 로고    scopus 로고
    • 'Modelling disease outbreaks in realistic urban social networks'
    • 10.1038/nature02541 0028-0836
    • Eubank, S., Guclu, H., and Kumar, V.S.A.: Et al. 'Modelling disease outbreaks in realistic urban social networks', Nature, 2004, 429, p. 180-184 10.1038/nature02541 0028-0836
    • (2004) Nature , vol.429 , pp. 180-184
    • Eubank, S.1    Guclu, H.2    Kumar, V.S.A.3
  • 58
    • 25844439630 scopus 로고    scopus 로고
    • 'The effect of network topology on the spread of epidemics'
    • Miami, FL, March 13-17
    • Ganesh, A., Massoulié, L., and Towsley, D.: 'The effect of network topology on the spread of epidemics', Proc. IEEE Infocom, Miami, FL, March 13-17 2005
    • (2005) Proc. IEEE Infocom
    • Ganesh, A.1    Massoulié, L.2    Towsley, D.3
  • 59
    • 0031272805 scopus 로고    scopus 로고
    • 'NP-hardness of some linear control design problems'
    • 10.1137/S0363012994272630 0363-0129
    • Blondel, V., and Tsitsiklis, J.: 'NP-hardness of some linear control design problems', SIAM J. Control Optim., 1997, 35, (6), p. 2118-2127 10.1137/S0363012994272630 0363-0129
    • (1997) SIAM J. Control Optim. , vol.35 , Issue.6 , pp. 2118-2127
    • Blondel, V.1    Tsitsiklis, J.2
  • 60
    • 38249012613 scopus 로고
    • 'Recent directions in matrix stability'
    • 0024-3795
    • Hershkowitz, D.: 'Recent directions in matrix stability', Linear Algebr. Appl., 1992, 171, p. 161-186 0024-3795
    • (1992) Linear Algebr. Appl. , vol.171 , pp. 161-186
    • Hershkowitz, D.1
  • 61
    • 84971182325 scopus 로고
    • 'On the convergence of matrices and the convergence of linear iterative processes'
    • Fisher, M.E., and Fuller, A.T.: 'On the convergence of matrices and the convergence of linear iterative processes', Proc. Camb. Philos. Soc., 1958, 45, p. 417-425
    • (1958) Proc. Camb. Philos. Soc. , vol.45 , pp. 417-425
    • Fisher, M.E.1    Fuller, A.T.2
  • 62
    • 84878059249 scopus 로고    scopus 로고
    • 'Optimization of graph Laplacian eigenvalues'
    • Boyd, S.: 'Optimization of graph Laplacian eigenvalues', Proc. Int. Congress of Mathematicians, 2006, 3, p. 1311-1319
    • (2006) Proc. Int. Congress of Mathematicians , vol.3 , pp. 1311-1319
    • Boyd, S.1
  • 63
    • 0042602157 scopus 로고    scopus 로고
    • 'Eigenvalue optimization'
    • 0962-4929
    • Lewis, A.S., and Overton, M.L.: 'Eigenvalue optimization', Acta Numer., 1996, 5, p. 149-190 0962-4929
    • (1996) Acta Numer. , vol.5 , pp. 149-190
    • Lewis, A.S.1    Overton, M.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.