메뉴 건너뛰기




Volumn 188, Issue 1-2, 2004, Pages 1-16

Spatiotemporal dynamics of epidemics: Synchrony in metapopulation models

Author keywords

Epidemiological model; Linear stability analysis; Metapopulation; Spatial dynamics

Indexed keywords

DISEASES; EIGENVALUES AND EIGENFUNCTIONS; EPIDEMIOLOGY;

EID: 0842324733     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2003.09.003     Document Type: Conference Paper
Times cited : (118)

References (28)
  • 2
    • 0021690803 scopus 로고
    • Seasonality and period-doubling bifurcations in an epidemic model
    • Aron J.L., Schwartz I.B. Seasonality and period-doubling bifurcations in an epidemic model. J. Theor. Biol. 110:1984;665.
    • (1984) J. Theor. Biol. , vol.110 , pp. 665
    • Aron, J.L.1    Schwartz, I.B.2
  • 4
    • 0026360189 scopus 로고
    • Dynamic population epidemic models
    • Ball F.G. Dynamic population epidemic models. Math. Biosci. 107:1991;229.
    • (1991) Math. Biosci. , vol.107 , pp. 229
    • Ball, F.G.1
  • 5
    • 0003046250 scopus 로고
    • Deterministic epidemic models for a territory with a transport network
    • (in Russian)
    • Baroyan O.V., Rvachev L.A. Deterministic epidemic models for a territory with a transport network. Kibernetika. 3:1967;67. (in Russian).
    • (1967) Kibernetika , vol.3 , pp. 67
    • Baroyan, O.V.1    Rvachev, L.A.2
  • 7
    • 0029956730 scopus 로고    scopus 로고
    • Impact of vaccination on the spatial correlation and persistence of measles dynamics
    • Bolker B.M., Grenfell B.T. Impact of vaccination on the spatial correlation and persistence of measles dynamics. Proc. Natl. Acad. Sci. USA. 93:1996;12648.
    • (1996) Proc. Natl. Acad. Sci. USA , vol.93 , pp. 12648
    • Bolker, B.M.1    Grenfell, B.T.2
  • 9
    • 0002454064 scopus 로고
    • The incidence of infectious diseases under the influence of seasonal fluctuations
    • Dietz K. The incidence of infectious diseases under the influence of seasonal fluctuations. Lect. Notes Biomath. 11:1976;1.
    • (1976) Lect. Notes Biomath. , vol.11 , pp. 1
    • Dietz, K.1
  • 10
    • 0032528857 scopus 로고    scopus 로고
    • Stochastic epidemics: The expected duration of the endemic period in higher dimensional models
    • Grasman J. Stochastic epidemics: the expected duration of the endemic period in higher dimensional models. Math. Biosci. 152:1998;13.
    • (1998) Math. Biosci. , vol.152 , pp. 13
    • Grasman, J.1
  • 11
    • 0023177943 scopus 로고
    • Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs
    • Hethcote H.W., Ark J.W.V. Epidemiological models for heterogeneous populations: proportionate mixing, parameter estimation, and immunization programs. Math. Biosci. 84:1987;85.
    • (1987) Math. Biosci. , vol.84 , pp. 85
    • Hethcote, H.W.1    Ark, J.W.V.2
  • 12
    • 0037270589 scopus 로고    scopus 로고
    • Interspecific influence on mobility and turing instability
    • Huang Y., Diekmann O. Interspecific influence on mobility and turing instability. Bull. Math. Biol. 65:2003;143.
    • (2003) Bull. Math. Biol. , vol.65 , pp. 143
    • Huang, Y.1    Diekmann, O.2
  • 13
    • 0026335575 scopus 로고
    • Assessing the variability of stochastic epidemics
    • Isham V. Assessing the variability of stochastic epidemics. Math. Biosci. 107:1991;209.
    • (1991) Math. Biosci. , vol.107 , pp. 209
    • Isham, V.1
  • 14
    • 0035717954 scopus 로고    scopus 로고
    • The dynamics of two diffusively coupled predator-prey systems
    • Jansen V.A.A. The dynamics of two diffusively coupled predator-prey systems. Theor. Popul. Biol. 59:2001;119.
    • (2001) Theor. Popul. Biol. , vol.59 , pp. 119
    • Jansen, V.A.A.1
  • 15
    • 0034277972 scopus 로고    scopus 로고
    • Local stability analysis of spatially homogeneous solutions of multi-patch systems
    • Jansen V.A.A., Lloyd A.L. Local stability analysis of spatially homogeneous solutions of multi-patch systems. J. Math. Biol. 41:2000;232.
    • (2000) J. Math. Biol. , vol.41 , pp. 232
    • Jansen, V.A.A.1    Lloyd, A.L.2
  • 16
    • 0036168704 scopus 로고    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. 5:2002;20.
    • (2002) Ecol. Lett. , vol.5 , pp. 20
    • Keeling, M.J.1    Rohani, P.2
  • 17
    • 0017226769 scopus 로고
    • A deterministic model for gonorrhea in a nonhomogeneous population
    • Lajmanovich A., Yorke J.A. A deterministic model for gonorrhea in a nonhomogeneous population. Math. Biosci. 28:1976;221.
    • (1976) Math. Biosci. , vol.28 , pp. 221
    • Lajmanovich, A.1    Yorke, J.A.2
  • 18
    • 0347063875 scopus 로고    scopus 로고
    • Estimating variability in models for recurrent epidemics
    • Lloyd A.L. Estimating variability in models for recurrent epidemics. Theor. Popul. Biol. 65:2004;49.
    • (2004) Theor. Popul. Biol. , vol.65 , pp. 49
    • Lloyd, A.L.1
  • 19
    • 0029980587 scopus 로고    scopus 로고
    • Spatial heterogeneity in epidemic models
    • Lloyd A.L., May R.M. Spatial heterogeneity in epidemic models. J. Theor. Biol. 179:1996;1.
    • (1996) J. Theor. Biol. , vol.179 , pp. 1
    • Lloyd, A.L.1    May, R.M.2
  • 20
    • 0015739604 scopus 로고
    • Recurrent outbreaks of measles, chickenpox and mumps. I. Seasonal variation in contact rates
    • London W.P., Yorke J.A. Recurrent outbreaks of measles, chickenpox and mumps. I. Seasonal variation in contact rates. Am. J. Epidemiol. 98:1973;453.
    • (1973) Am. J. Epidemiol. , vol.98 , pp. 453
    • London, W.P.1    Yorke, J.A.2
  • 23
    • 0015128941 scopus 로고
    • Instability and dynamic pattern in cellular networks
    • Othmer H.G., Scriven L.E. Instability and dynamic pattern in cellular networks. J. Theor. Biol. 32:1971;507.
    • (1971) J. Theor. Biol. , vol.32 , pp. 507
    • Othmer, H.G.1    Scriven, L.E.2
  • 24
    • 0035515957 scopus 로고    scopus 로고
    • Pattern formation in discrete cell lattices
    • Plahte E. Pattern formation in discrete cell lattices. J. Math. Biol. 43:2001;411.
    • (2001) J. Math. Biol. , vol.43 , pp. 411
    • Plahte, E.1
  • 25
    • 0033615482 scopus 로고    scopus 로고
    • Opposite patterns of synchrony in sympatric disease metapopulations
    • Rohani P., Earn D.J.D., Grenfell B.T. Opposite patterns of synchrony in sympatric disease metapopulations. Science. 286:1999;968.
    • (1999) Science , vol.286 , pp. 968
    • Rohani, P.1    Earn, D.J.D.2    Grenfell, B.T.3
  • 26
    • 0037270606 scopus 로고    scopus 로고
    • Simulating the effect of quarantine on the spread of the 1918-19 flu in central Canada
    • Sattenspiel L., Herring D.A. Simulating the effect of quarantine on the spread of the 1918-19 flu in central Canada. Bull. Math. Biol. 65:2003;1.
    • (2003) Bull. Math. Biol. , vol.65 , pp. 1
    • Sattenspiel, L.1    Herring, D.A.2
  • 27
    • 0026451408 scopus 로고
    • Small amplitude, long period outbreaks in seasonally driven epidemics
    • Schwartz I.B. Small amplitude, long period outbreaks in seasonally driven epidemics. J. Math. Biol. 30:1992;473.
    • (1992) J. Math. Biol. , vol.30 , pp. 473
    • Schwartz, I.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.