메뉴 건너뛰기




Volumn 13, Issue 1, 2016, Pages 43-65

Modelling the spatial-temporal progression of the 2009 A/H1N1 influenza pandemic in Chile

Author keywords

Metapopulation model; Pandemic; Spatial temporal SEIR model; Sta bility of disease free equilibrium

Indexed keywords

CELL PROLIFERATION; EPIDEMIOLOGY; FORESTRY; SENSITIVITY ANALYSIS; VIRUSES;

EID: 84945584232     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2016.13.43     Document Type: Article
Times cited : (10)

References (52)
  • 1
    • 35348983980 scopus 로고    scopus 로고
    • Asymptotic of the steady states for an SIS epidemic patch model
    • L. J. S. Allen, B. M. Bolker, Y. Lou and A. L. Nevai, Asymptotic of the steady states for an SIS epidemic patch model, SIAM J. Appl. Math., 67 (2007), 1283-1309.
    • (2007) SIAM J. Appl. Math. , vol.67 , pp. 1283-1309
    • Allen, L.J.S.1    Bolker, B.M.2    Lou, Y.3    Nevai, A.L.4
  • 4
    • 85124061805 scopus 로고    scopus 로고
    • Diseases in metapopulations
    • In Z. Ma Y. Zhou and J. Wu (Eds.), Higher Education Press, Beijing
    • J. Arino, Diseases in metapopulations. In Z. Ma, Y. Zhou and J. Wu (Eds.), Modeling and Dynamics of Infectious Diseases, Higher Education Press, Beijing, 11 (2009), 64-122.
    • (2009) Modeling and Dynamics of Infectious Diseases , vol.11 , pp. 64-122
    • Arino, J.1
  • 14
    • 77954325027 scopus 로고    scopus 로고
    • The reproduction number of seasonal inuenza epidemics in Brazil, 1996-2006
    • G. Chowell, C. Viboud, L. Simonsen, M. Miller and W. J. Alonso, The reproduction number of seasonal inuenza epidemics in Brazil, 1996-2006, Proc. Biol. Sci., 277 (2010), 1857-1866.
    • (2010) Proc. Biol. Sci. , vol.277 , pp. 1857-1866
    • Chowell, G.1    Viboud, C.2    Simonsen, L.3    Miller, M.4    Alonso, W.J.5
  • 15
    • 33846670320 scopus 로고    scopus 로고
    • Modeling the world-wide spread of pandemic inuenza: Baseline case and containment interventions
    • (16pp)
    • V. Colizza, A. Barrat, M. Barthelemy, A. J. Valleron and A. Vespignani, Modeling the world-wide spread of pandemic inuenza: Baseline case and containment interventions, PLoS Med., 4 (2007), e13 (16pp).
    • (2007) PLoS Med. , vol.4 , pp. e13
    • Colizza, V.1    Barrat, A.2    Barthelemy, M.3    Valleron, A.J.4    Vespignani, A.5
  • 17
    • 0025159677 scopus 로고
    • On the deffnition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations
    • O. Diekmann, J. A. P. Heesterbeek and J. A. J.Metz, On the deffnition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations, J. Math. Biol., 28 (1990), 365-382.
    • (1990) J. Math. Biol. , vol.28 , pp. 365-382
    • Diekmann, O.1    Heesterbeek, J.A.P.2    Metz, J.A.J.3
  • 18
    • 42249085198 scopus 로고    scopus 로고
    • Deterministic compartmental models: Extensions of basic models
    • In F. Brauer, P. van den Driessche and J. Wu (Eds.), Springer-Verlag, Berlin
    • P. van den Driessche, Deterministic compartmental models: Extensions of basic models, In F. Brauer, P. van den Driessche and J. Wu (Eds.), Mathematical Epidemiology, Springer-Verlag, Berlin, 1945 (2008), 147-157.
    • (2008) Mathematical Epidemiology , vol.1945 , pp. 147-157
    • Driessche Den P.Van1
  • 19
    • 42249083371 scopus 로고    scopus 로고
    • Spatial structure: Patch models
    • In F. Brauer P. van den Driessche and J. Wu (Eds.), , Springer-Verlag, Berlin
    • P. van den Driessche, Spatial structure: Patch models. In F. Brauer, P. van den Driessche and J. Wu (Eds.), Mathematical Epidemiology, Springer-Verlag, Berlin, 1945 (2008), 179-189.
    • (2008) Mathematical Epidemiology , vol.1945 , pp. 179-189
    • Driessche Den P.Van1
  • 20
    • 77957686260 scopus 로고    scopus 로고
    • Impact of group mixing on disease dynamics
    • P. van den Driessche, L. Wang and X. Zou, Impact of group mixing on disease dynamics, Math. Biosci., 228 (2010), 71-77.
    • (2010) Math. Biosci. , vol.228 , pp. 71-77
    • Driessche Den P.Van1    Wang, L.2    Zou, X.3
  • 21
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • P. van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180 (2002), 29-48.
    • (2002) Math. Biosci. , vol.180 , pp. 29-48
    • Driessche Den P.Van1    Watmough, J.2
  • 22
    • 84887017373 scopus 로고    scopus 로고
    • Spatial spread of an epidemic through public transportation systems with a hub
    • X. Fei, C. Connell McCluskey and R. Cressman, Spatial spread of an epidemic through public transportation systems with a hub, Math. Biosci., 246 (2013), 164-175.
    • (2013) Math. Biosci. , vol.246 , pp. 164-175
    • Fei, X.1    Connell McCluskey, C.2    Cressman, R.3
  • 24
    • 78651363187 scopus 로고    scopus 로고
    • Multiple outbreaks for the same pandemic: Local transportation and social distancing explain the different waves of A-H1N1pdm cases observed in Mexico during 2009
    • M. Herrera-Valdez, M. Cruz-Aponte and C. Castillo-Chavez, Multiple outbreaks for the same pandemic: Local transportation and social distancing explain the different waves of A-H1N1pdm cases observed in Mexico during 2009, Math. Biosci. Eng., 8 (2011), 21-48.
    • (2011) Math. Biosci. Eng. , vol.8 , pp. 21-48
    • Herrera-Valdez, M.1    Cruz-Aponte, M.2    Castillo-Chavez, C.3
  • 25
    • 84945560906 scopus 로고    scopus 로고
    • Instituto Nacional de Estadsticas (INE). Estadsticas Demograficas y Vitales
    • Instituto Nacional de Estadsticas (INE). Estadsticas Demograficas y Vitales, 2009. Avail-able from: http://www.ine.cl/canales/chileffestadistico/demografia-y-vitales/demoff y-vita.php
    • (2009)
  • 26
    • 84874964686 scopus 로고    scopus 로고
    • School closures and inuenza: Systematic review of epidemiological studies
    • (10pp)
    • C. Jackson, E. Vynnycky, J. Hawker, B. Olowokure and P. Mangtani, School closures and inuenza: Systematic review of epidemiological studies, BMJ open, 3 (2) (2013), e002149 (10pp).
    • (2013) BMJ Open , vol.3 , Issue.2 , pp. e002149
    • Jackson, C.1    Vynnycky, E.2    Hawker, J.3    Olowokure, B.4    Mangtani, P.5
  • 28
    • 0000998185 scopus 로고
    • A contribution to the mathematical theory of epi-demics
    • W. O. Kermack and A. G. McKendrick, A contribution to the mathematical theory of epi-demics, Proc. Roy. Soc. A, 115 (1927), 700-721.
    • (1927) Proc. Roy. Soc. A , vol.115 , pp. 700-721
    • Kermack, W.O.1    McKendrick, A.G.2
  • 30
    • 84868207047 scopus 로고    scopus 로고
    • Global stability of a multi-group SVIR epidemic model
    • T. Kuniya, Global stability of a multi-group SVIR epidemic model, Nonlin. Anal. Real World Appl., 14 (2013), 1135-1143.
    • (2013) Nonlin. Anal. Real World Appl. , vol.14 , pp. 1135-1143
    • Kuniya, T.1
  • 31
    • 84907250766 scopus 로고    scopus 로고
    • Threshold dynamics of an SIR epidemic model with hybrid and multigroup of patch structures
    • T. Kuniya, Y. Muroya and Y. Enatsu, Threshold dynamics of an SIR epidemic model with hybrid and multigroup of patch structures, Math. Biosci. Eng., 11 (2014), 1375-1393.
    • (2014) Math. Biosci. Eng. , vol.11 , pp. 1375-1393
    • Kuniya, T.1    Muroya, Y.2    Enatsu, Y.3
  • 32
    • 84861582122 scopus 로고    scopus 로고
    • Global stability of an epidemic model in a patchy environment
    • M. Y. Li and Z. Shuai, Global stability of an epidemic model in a patchy environment, Canad. Appl. Math. Quart., 17 (2009), 175-187.
    • (2009) Canad. Appl. Math. Quart. , vol.17 , pp. 175-187
    • Li, M.Y.1    Shuai, Z.2
  • 33
    • 36049022594 scopus 로고    scopus 로고
    • Inuenza virus transmission is dependent on relative humidity and temperature
    • A. Lowen, S. Mubareka, J. Steel and P. Palese, Inuenza virus transmission is dependent on relative humidity and temperature, PLoS Pathog., 3 (2007), 1470-1476.
    • (2007) PLoS Pathog. , vol.3 , pp. 1470-1476
    • Lowen, A.1    Mubareka, S.2    Steel, J.3    Palese, P.4
  • 34
    • 43949134877 scopus 로고    scopus 로고
    • High temperature (30 degrees C) blocks aerosol but not contact transmission of inuenza virus
    • A. Lowen, J. Steel, S. Mubareka and P. Palese, High temperature (30 degrees C) blocks aerosol but not contact transmission of inuenza virus, J. Virol., 82 (2008), 5650-5652.
    • (2008) J. Virol. , vol.82 , pp. 5650-5652
    • Lowen, A.1    Steel, J.2    Mubareka, S.3    Palese, P.4
  • 39
    • 72849114814 scopus 로고    scopus 로고
    • The geographic spread of infectious diseases: Models and applications
    • Princeton University Press
    • L. Sattenspiel, The Geographic Spread of Infectious Diseases: Models and Applications, Princeton Series in Theoretical and Computational Biology, Princeton University Press, 2009.
    • (2009) Princeton Series in Theoretical and Computational Biology
    • Sattenspiel, L.1
  • 40
    • 0028989477 scopus 로고
    • A structured epidemic model incorporating geographic mobility among regions
    • L. Sattenspiel and K. Dietz, A structured epidemic model incorporating geographic mobility among regions, Math. Biosci., 128 (1995), 71-91.
    • (1995) Math. Biosci. , vol.128 , pp. 71-91
    • Sattenspiel, L.1    Dietz, K.2
  • 41
    • 79959624087 scopus 로고    scopus 로고
    • The geographic synchrony of seasonal inuenza: A waves across Canada and the United States
    • (8pp)
    • D. L. Schanzer, J. M. Langley, T. Dummer and S. Aziz, The geographic synchrony of seasonal inuenza: A waves across Canada and the United States, PLoS One, 6 (2011), e21471 (8pp).
    • (2011) PLoS One , vol.6 , pp. e21471
    • Schanzer, D.L.1    Langley, J.M.2    Dummer, T.3    Aziz, S.4
  • 43
    • 62549130378 scopus 로고    scopus 로고
    • Absolute humidity modulates inuenza survival transmission, and seasonality
    • J. Shaman and M. Kohn, Absolute humidity modulates inuenza survival, transmission, and seasonality, Proc. Natl. Acad. Sci. USA, 106 (2009), 3243-3248.
    • (2009) Proc. Natl. Acad. Sci. USA , vol.106 , pp. 3243-3248
    • Shaman, J.1    Kohn, M.2
  • 44
    • 77649141786 scopus 로고    scopus 로고
    • Absolute humidity and the seasonal onset of inuenza in the continental United States
    • (13pp)
    • J. Shaman, V. Pitzer, C. Viboud, B. Grenfell and M. Lipsitch, Absolute humidity and the seasonal onset of inuenza in the continental United States, PLoS Biol., 8 (2010), e1000316 (13pp).
    • (2010) PLoS Biol. , vol.8 , pp. e1000316
    • Shaman, J.1    Pitzer, V.2    Viboud, C.3    Grenfell, B.4    Lipsitch, M.5
  • 46
    • 78651405176 scopus 로고    scopus 로고
    • Transmission of a 2009 pandemic inuenza virus shows a sensitivity to temperature and humidity similar to that of an H3N2 seasonal strain
    • J. Steel, P. Palese and A. Lowen, Transmission of a 2009 pandemic inuenza virus shows a sensitivity to temperature and humidity similar to that of an H3N2 seasonal strain, J. Virol., 85 (2011), 1400-1402.
    • (2011) J. Virol. , vol.85 , pp. 1400-1402
    • Steel, J.1    Palese, P.2    Lowen, A.3
  • 47
    • 77957355690 scopus 로고    scopus 로고
    • Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence
    • R. Sun, Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence, Comput. Math. Applic., 60 (2010), 2286-2291.
    • (2010) Comput. Math. Applic. , vol.60 , pp. 2286-2291
    • Sun, R.1
  • 51
    • 77956315536 scopus 로고    scopus 로고
    • Seasonal synchronization of inuenza in the United States older adult population
    • (11pp)
    • J. B. Wenger and E. N. Naumova, Seasonal synchronization of inuenza in the United States older adult population, PLoS One, 5 (2010), e10187 (11pp).
    • (2010) PLoS One , vol.5 , pp. e10187
    • Wenger, J.B.1    Naumova, E.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.