메뉴 건너뛰기




Volumn 90, Issue 2, 2007, Pages 546-559

Dynamical modeling of viral spread in spatially distributed populations: stochastic origins of oscillations and density dependence

Author keywords

Epidemic; Spatial stochastic model; Viral spread

Indexed keywords

DISEASE SPREAD; EPIDEMIC; MODELING; NUMERICAL MODEL; POPULATION STRUCTURE; SPATIAL DISTRIBUTION; STOCHASTICITY; VIRAL DISEASE;

EID: 34548399876     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.biosystems.2006.12.006     Document Type: Article
Times cited : (9)

References (42)
  • 1
    • 0001242066 scopus 로고
    • An examination of the Reed-Frost theory of epidemics
    • Abbey H. An examination of the Reed-Frost theory of epidemics. Hum. Biol. 24 (1952) 201-233
    • (1952) Hum. Biol. , vol.24 , pp. 201-233
    • Abbey, H.1
  • 3
    • 85194562998 scopus 로고    scopus 로고
    • Anon., 2006a. Inserm, Sentiweb, November 22, 2006. http://rhone.b3e.jussieu.fr/senti/?module=series.
  • 4
    • 85194587509 scopus 로고    scopus 로고
    • Anon., 2006a. World Health Organization, Epidemic and Pandemic Alert and Response, November 22, 2006. http://www.who.int/csr/sars/country/en/.
  • 5
    • 0034619254 scopus 로고    scopus 로고
    • Transmission and dynamics of tuberculosis in generalized households
    • Aparicio J.P., Capurro A.F., and Castillo-Chavez C. Transmission and dynamics of tuberculosis in generalized households. J. Theor. Biol. 206 (2000) 327-341
    • (2000) J. Theor. Biol. , vol.206 , pp. 327-341
    • Aparicio, J.P.1    Capurro, A.F.2    Castillo-Chavez, C.3
  • 7
    • 25144517817 scopus 로고    scopus 로고
    • A multi-species epidemic model with spatial dynamics
    • Arino J., et al. A multi-species epidemic model with spatial dynamics. Math. Med. Biol. 22 (2005) 129-142
    • (2005) Math. Med. Biol. , vol.22 , pp. 129-142
    • Arino, J.1
  • 8
    • 0345959467 scopus 로고    scopus 로고
    • Limits of a multipatch SIS epidemic model
    • Arrigoni F., and Pugliese A. Limits of a multipatch SIS epidemic model. J. Math. Biol. 45 (2002) 419-440
    • (2002) J. Math. Biol. , vol.45 , pp. 419-440
    • Arrigoni, F.1    Pugliese, A.2
  • 10
    • 0032493166 scopus 로고    scopus 로고
    • Modelling the dynamics of LCMV infection in mice: conventional and exhaustive CTL responses
    • Bocharov G.A. Modelling the dynamics of LCMV infection in mice: conventional and exhaustive CTL responses. J. Theor. Biol. 192 (1998) 283-308
    • (1998) J. Theor. Biol. , vol.192 , pp. 283-308
    • Bocharov, G.A.1
  • 11
    • 0028338689 scopus 로고
    • Mathematical model of antiviral immune response. III. Influenza A virus infection
    • Bocharov G.A., and Romanyukha A.A. Mathematical model of antiviral immune response. III. Influenza A virus infection. J. Theor. Biol. 167 (1994) 323-360
    • (1994) J. Theor. Biol. , vol.167 , pp. 323-360
    • Bocharov, G.A.1    Romanyukha, A.A.2
  • 14
    • 2442686815 scopus 로고    scopus 로고
    • Modelling disease outbreaks in realistic urban social networks
    • Eubank S., Guclu H., Kumar V.S., et al. Modelling disease outbreaks in realistic urban social networks. Nature 429 (2004) 181-184
    • (2004) Nature , vol.429 , pp. 181-184
    • Eubank, S.1    Guclu, H.2    Kumar, V.S.3
  • 15
  • 16
    • 0034486891 scopus 로고    scopus 로고
    • The mathematics of infectious diseases
    • Hethcote H.W. The mathematics of infectious diseases. SIAM Rev. 42 (2000) 599-663
    • (2000) SIAM Rev. , vol.42 , pp. 599-663
    • Hethcote, H.W.1
  • 17
    • 33746559548 scopus 로고    scopus 로고
    • Stochastic models for epidemics: current issues and developments
    • Oxford University Press, Oxford
    • Isham V. Stochastic models for epidemics: current issues and developments. Celebrating Statistics; in Honour of David Cox's 80th birthday (2005), Oxford University Press, Oxford
    • (2005) Celebrating Statistics; in Honour of David Cox's 80th birthday
    • Isham, V.1
  • 18
    • 0036677591 scopus 로고    scopus 로고
    • Emergency response to a smallpox attack: the case for mass vaccination
    • Kaplan E.H., Craft D.L., and Wein L.M. Emergency response to a smallpox attack: the case for mass vaccination. Proc. Natl. Acad. Sci. U.S.A. 99 (2002) 10935-10942
    • (2002) Proc. Natl. Acad. Sci. U.S.A. , vol.99 , pp. 10935-10942
    • Kaplan, E.H.1    Craft, D.L.2    Wein, L.M.3
  • 19
    • 0000998185 scopus 로고
    • Contributions to the mathematical theory of epidemics. Part I
    • Kermack W.O., and McKendrick A.G. Contributions to the mathematical theory of epidemics. Part I. Proc. Roy. Soc. Lond. A115 (1927) 700-721
    • (1927) Proc. Roy. Soc. Lond. , vol.A115 , pp. 700-721
    • Kermack, W.O.1    McKendrick, A.G.2
  • 20
    • 85194542934 scopus 로고    scopus 로고
    • Kostova, T., 2007. Persistence of viral infections on the population level explained by an immunoepidemiological model. Math. Biosci. 206, 309-319.
  • 21
    • 0032574931 scopus 로고    scopus 로고
    • Variability in early HIV population dynamics
    • Le Corfec E., and Tuckwell H.C. Variability in early HIV population dynamics. AIDS 12 (1998) 960-962
    • (1998) AIDS , vol.12 , pp. 960-962
    • Le Corfec, E.1    Tuckwell, H.C.2
  • 22
    • 12444346408 scopus 로고    scopus 로고
    • Transmission dynamics and control of severe acute respiratory syndrome
    • Lipsitch M., Cohen T., Cooper B., et al. Transmission dynamics and control of severe acute respiratory syndrome. Science 300 (2003) 1966-1970
    • (2003) Science , vol.300 , pp. 1966-1970
    • Lipsitch, M.1    Cohen, T.2    Cooper, B.3
  • 23
    • 0842324733 scopus 로고    scopus 로고
    • Spatiotemporal dynamics of epidemics: synchrony in metapopulation models
    • Lloyd A.L., and Jansen V.A.A. Spatiotemporal dynamics of epidemics: synchrony in metapopulation models. Math. Biosci. 188 (2004) 1-16
    • (2004) Math. Biosci. , vol.188 , pp. 1-16
    • Lloyd, A.L.1    Jansen, V.A.A.2
  • 24
    • 13844275317 scopus 로고    scopus 로고
    • Strategy for distribution of influenza vaccine to high risk groups and children
    • Longini I.M., and Halloran M.E. Strategy for distribution of influenza vaccine to high risk groups and children. Am. J. Epidemiol. 161 (2005) 303-306
    • (2005) Am. J. Epidemiol. , vol.161 , pp. 303-306
    • Longini, I.M.1    Halloran, M.E.2
  • 25
    • 23344437451 scopus 로고    scopus 로고
    • The stochastic dance of early HIV infection
    • Merrill S.J. The stochastic dance of early HIV infection. J. Computat. Appl. Math. 184 (2005) 242-257
    • (2005) J. Computat. Appl. Math. , vol.184 , pp. 242-257
    • Merrill, S.J.1
  • 26
    • 0032475822 scopus 로고    scopus 로고
    • Hepatitis C viral dynamics in vivo and the antiviral efficacy of interferon-α therapy
    • Neumann A.U., Lam N.P., Dahari H., et al. Hepatitis C viral dynamics in vivo and the antiviral efficacy of interferon-α therapy. Science 282 (1998) 103-107
    • (1998) Science , vol.282 , pp. 103-107
    • Neumann, A.U.1    Lam, N.P.2    Dahari, H.3
  • 27
    • 17944363471 scopus 로고    scopus 로고
    • Preparing for the next pandemic
    • Osterholm M.T. Preparing for the next pandemic. NEJM 352 (2005) 1839-1842
    • (2005) NEJM , vol.352 , pp. 1839-1842
    • Osterholm, M.T.1
  • 28
    • 14744296414 scopus 로고    scopus 로고
    • Finding optimal vaccination strategies for pandemic influenza using genetic algorithms
    • Patel R., Longini I.M., and Halloran M.E. Finding optimal vaccination strategies for pandemic influenza using genetic algorithms. J. Theor. Biol. 234 (2005) 201-212
    • (2005) J. Theor. Biol. , vol.234 , pp. 201-212
    • Patel, R.1    Longini, I.M.2    Halloran, M.E.3
  • 30
    • 33846588340 scopus 로고    scopus 로고
    • Preclinical assessment of HIV vaccines and microbicides by repeated low-dose virus challenges
    • Regoes R.R., Longini I.M., Feinberg M.B., and Staprans S.I. Preclinical assessment of HIV vaccines and microbicides by repeated low-dose virus challenges. PLoS Med. 2 (2005) e249
    • (2005) PLoS Med. , vol.2
    • Regoes, R.R.1    Longini, I.M.2    Feinberg, M.B.3    Staprans, S.I.4
  • 31
    • 85194573253 scopus 로고    scopus 로고
    • Sidorenko, Y., 2005. Mathematical modeling of influenza virus replication in mammalian cells. Doctoral Thesis, University of Magdeburg, Germany.
  • 32
    • 33746859073 scopus 로고    scopus 로고
    • Pandemic influenza preparedness: the critical role of the syringe
    • Strauss K., van Zundert A., Frid A., and Costigliola V. Pandemic influenza preparedness: the critical role of the syringe. Vaccine 24 (2006) 4874-4882
    • (2006) Vaccine , vol.24 , pp. 4874-4882
    • Strauss, K.1    van Zundert, A.2    Frid, A.3    Costigliola, V.4
  • 33
    • 33749049349 scopus 로고    scopus 로고
    • Semi-empirical power-law scaling of new infection rate to model epidemics with inhomogeneous mixing
    • Stroud P.D., Sydoriak S.J., Riese J.M., et al. Semi-empirical power-law scaling of new infection rate to model epidemics with inhomogeneous mixing. Math. Biosci. 203 (2006) 301-318
    • (2006) Math. Biosci. , vol.203 , pp. 301-318
    • Stroud, P.D.1    Sydoriak, S.J.2    Riese, J.M.3
  • 35
    • 0034471594 scopus 로고    scopus 로고
    • Nature of equilibria and effects of drug treatments in some simple viral population dynamical models
    • Tuckwell H.C., and Wan F.Y.M. Nature of equilibria and effects of drug treatments in some simple viral population dynamical models. IMA J. Math. Appl. Med. Biol. 17 (2000) 311-327
    • (2000) IMA J. Math. Appl. Med. Biol. , vol.17 , pp. 311-327
    • Tuckwell, H.C.1    Wan, F.Y.M.2
  • 36
    • 85194533735 scopus 로고    scopus 로고
    • Tuckwell, H.C., Williams, R.J., 2007. Some properties of a simple stochastic epidemic model of SIR type. Math. Biosci. 208, 76-97.
  • 37
    • 0000786704 scopus 로고    scopus 로고
    • Spatial epidemic network models with viral dynamics
    • Tuckwell H.C., Toubiana L., and Vibert J.-F. Spatial epidemic network models with viral dynamics. Phys. Rev. E 57 (1998) 2163-2169
    • (1998) Phys. Rev. E , vol.57 , pp. 2163-2169
    • Tuckwell, H.C.1    Toubiana, L.2    Vibert, J.-F.3
  • 38
    • 0034180280 scopus 로고    scopus 로고
    • Enhancement of epidemic spread by noise and stochastic resonance in spatial network models with viral dynamics
    • Tuckwell H.C., Toubiana L., and Vibert J.-F. Enhancement of epidemic spread by noise and stochastic resonance in spatial network models with viral dynamics. Phys. Rev. E 61 (2000) 5611-5619
    • (2000) Phys. Rev. E , vol.61 , pp. 5611-5619
    • Tuckwell, H.C.1    Toubiana, L.2    Vibert, J.-F.3
  • 39
    • 0035473967 scopus 로고    scopus 로고
    • Epidemic spread and bifurcation effects in two-dimensional network models with viral dynamics
    • Tuckwell H.C., Toubiana L., and Vibert J.-F. Epidemic spread and bifurcation effects in two-dimensional network models with viral dynamics. Phys. Rev. E 64 (2001) 0419181-0419188
    • (2001) Phys. Rev. E , vol.64 , pp. 0419181-0419188
    • Tuckwell, H.C.1    Toubiana, L.2    Vibert, J.-F.3
  • 40
    • 2542463400 scopus 로고    scopus 로고
    • An epidemic model in a patchy environment
    • Wang W., and Zhao X.-Q. An epidemic model in a patchy environment. Math. Biosci. 190 (2004) 97-112
    • (2004) Math. Biosci. , vol.190 , pp. 97-112
    • Wang, W.1    Zhao, X.-Q.2
  • 41
    • 12344336431 scopus 로고    scopus 로고
    • Population-wide benefits of routine vaccination of children against influenza
    • Weycker D., Edelsberg J., Halloran M.E., Longini I.M., et al. Population-wide benefits of routine vaccination of children against influenza. Vaccine 23 (2005) 1284-1293
    • (2005) Vaccine , vol.23 , pp. 1284-1293
    • Weycker, D.1    Edelsberg, J.2    Halloran, M.E.3    Longini, I.M.4
  • 42
    • 0036533682 scopus 로고    scopus 로고
    • The importance of lytic and nonlytic immune responses in viral infections
    • Wodarz D., Christensen J., and Thomsen A.R. The importance of lytic and nonlytic immune responses in viral infections. Trends Immunol. 23 (2002) 194-200
    • (2002) Trends Immunol. , vol.23 , pp. 194-200
    • Wodarz, D.1    Christensen, J.2    Thomsen, A.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.