메뉴 건너뛰기




Volumn 10, Issue 2, 2015, Pages

Optimal vaccination in a stochastic epidemic model of two non-interacting populations

Author keywords

[No Author keywords available]

Indexed keywords

VACCINE;

EID: 84923330785     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0115826     Document Type: Article
Times cited : (25)

References (21)
  • 1
    • 65449157320 scopus 로고    scopus 로고
    • Current status and progress of prepandemic and pandemic influenza vaccine development
    • Leroux-Roels I, Leroux-Roels G (2009) Current status and progress of prepandemic and pandemic influenza vaccine development. Expert Review of Vaccines 8:401-423.
    • (2009) Expert Review of Vaccines , vol.8 , pp. 401-423
    • Leroux-Roels, I.1    Leroux-Roels, G.2
  • 2
    • 84861719465 scopus 로고    scopus 로고
    • Optimal but unequitable prophylactic distribution of vaccine
    • PMID: 22664066
    • Keeling MJ, Shattock A (2012) Optimal but unequitable prophylactic distribution of vaccine. Epidemics 4:78-85. doi: 10.1016/j.epidem.2012.03.001 PMID: 22664066
    • (2012) Epidemics , vol.4 , pp. 78-85
    • Keeling, M.J.1    Shattock, A.2
  • 3
    • 35848959760 scopus 로고    scopus 로고
    • Spatial considerations for the allocation of pre-pandemic inuenza vaccination in the united states
    • PMID: 17785273
    • Wu JT, Riley S, Leung GM (2007) Spatial considerations for the allocation of pre-pandemic inuenza vaccination in the united states. Proc R Soc B 274:2811-2817. doi: 10.1098/rspb.2007.0893 PMID: 17785273
    • (2007) Proc R Soc B , vol.274 , pp. 2811-2817
    • Wu, J.T.1    Riley, S.2    Leung, G.M.3
  • 4
    • 78651354788 scopus 로고    scopus 로고
    • Modelling the strategies for age specific vaccination scheduling during influenza pandemic outbreaks
    • PMID: 21361404
    • Knipl DH, Rost G (2011) Modelling the strategies for age specific vaccination scheduling during influenza pandemic outbreaks. Mathematical Biosciences and Engineering 8:123-139. doi: 10.3934/mbe. 2011.8.123 PMID: 21361404
    • (2011) Mathematical Biosciences and Engineering , vol.8 , pp. 123-139
    • Knipl, D.H.1    Rost, G.2
  • 5
    • 0000998185 scopus 로고
    • A contribution to the mathematical theory of epidemics
    • Kermack WO, McKendrick AG (1927) A contribution to the mathematical theory of epidemics. Proc R Soc Lond A 115:700-721. doi: 10.1098/rspa.1927.0118
    • (1927) Proc R Soc Lond A , vol.115 , pp. 700-721
    • Kermack, W.O.1    McKendrick, A.G.2
  • 6
    • 0020004047 scopus 로고
    • Directly transmitted infections diseases: Control by vaccination
    • Anderson M, May R (1982) Directly transmitted infections diseases: Control by vaccination. Science 215:10531060. doi: 10.1126/science.7063839
    • (1982) Science , vol.215 , pp. 10531060
    • Anderson, M.1    May, R.2
  • 7
    • 70349647743 scopus 로고    scopus 로고
    • Optimal control applied to vaccination and treatment strategies for various epidemiological models
    • PMID: 19566121
    • Gaff H, Schaefer E (2009) Optimal control applied to vaccination and treatment strategies for various epidemiological models. Mathematical Biosciences and Engineering 6:469-492. doi: 10.3934/mbe. 2009.6.469 PMID: 19566121
    • (2009) Mathematical Biosciences and Engineering , vol.6 , pp. 469-492
    • Gaff, H.1    Schaefer, E.2
  • 8
    • 80052174423 scopus 로고    scopus 로고
    • Synthesizing epidemiological and economic optima for control of immunizing infections
    • PMID: 21825129
    • Klepac P, Laxminarayan R, Grenfell BT (2011) Synthesizing epidemiological and economic optima for control of immunizing infections. Proc Natl Acad Sci U S A 108:14366-14370. doi: 10.1073/pnas. 1101694108 PMID: 21825129
    • (2011) Proc Natl Acad Sci U S A , vol.108 , pp. 14366-14370
    • Klepac, P.1    Laxminarayan, R.2    Grenfell, B.T.3
  • 9
    • 33644745135 scopus 로고    scopus 로고
    • Optimal reactive vaccination strategies for an outbreak of Foot-and-mouth disease in Great Britain
    • PMID: 16511494
    • Tildesley MJ, Savill NJ, Shaw DJ, Deardon R, Brooks SP, et al. (2006) Optimal reactive vaccination strategies for an outbreak of Foot-and-mouth disease in Great Britain. Nature 440:83-86. doi: 10. 1038/nature04324 PMID: 16511494
    • (2006) Nature , vol.440 , pp. 83-86
    • Tildesley, M.J.1    Savill, N.J.2    Shaw, D.J.3    Deardon, R.4    Brooks, S.P.5
  • 10
    • 0035955427 scopus 로고    scopus 로고
    • Dynamics of the 2001 UK Foot-and-mouth epidemic: Stochastic dispersal in a heterogeneous landscape
    • PMID: 11679661
    • Keeling MJ, Woolhouse MEJ, Shaw DJ, Matthews L, Chase-Topping M, et al. (2001) Dynamics of the 2001 UK Foot-and-mouth epidemic: Stochastic dispersal in a heterogeneous landscape. Science 294:813-817. doi: 10.1126/science.1065973 PMID: 11679661
    • (2001) Science , vol.294 , pp. 813-817
    • Keeling, M.J.1    Woolhouse, M.E.J.2    Shaw, D.J.3    Matthews, L.4    Chase-Topping, M.5
  • 12
    • 0035856957 scopus 로고    scopus 로고
    • Travelling waves and spatial hierarchies in measles epidemics
    • Grenfell BT, Bjornstad ON, Kappey J (2001) Travelling waves and spatial hierarchies in measles epidemics. Science 414:716-723.
    • (2001) Science , vol.414 , pp. 716-723
    • Grenfell, B.T.1    Bjornstad, O.N.2    Kappey, J.3
  • 13
    • 6344221308 scopus 로고    scopus 로고
    • Forecast and control of epidemics in a globalized world
    • Hufnagel L, Brockmann D, Geisel T (2003) Forecast and control of epidemics in a globalized world. Proc Natl Acad Sci U S A 101:15124-15129. doi: 10.1073/pnas.0308344101
    • (2003) Proc Natl Acad Sci U S A , vol.101 , pp. 15124-15129
    • Hufnagel, L.1    Brockmann, D.2    Geisel, T.3
  • 14
    • 38349083860 scopus 로고    scopus 로고
    • Bimodal epidemic size distributions for near-critical sir with vaccination
    • PMID: 17992563
    • Gordillo LF, Marion SA, Martin-Lof A, Greenwood PE (2008) Bimodal epidemic size distributions for near-critical sir with vaccination. Bulletin of Mathematical Biology 70:589-602. doi: 10.1007/s11538-007-9269-y PMID: 17992563
    • (2008) Bulletin of Mathematical Biology , vol.70 , pp. 589-602
    • Gordillo, L.F.1    Marion, S.A.2    Martin-Lof, A.3    Greenwood, P.E.4
  • 15
    • 84860491508 scopus 로고    scopus 로고
    • Numerical integration of the master equation in some models of stochastic epidemiology
    • PMID: 22615755
    • Jenkinson G, Goutsias J (2012) Numerical integration of the master equation in some models of stochastic epidemiology. PLoS ONE 7:e36160. doi: 10.1371/journal.pone.0036160 PMID: 22615755
    • (2012) PLoS ONE , vol.7 , pp. e36160
    • Jenkinson, G.1    Goutsias, J.2
  • 16
    • 84893178008 scopus 로고    scopus 로고
    • A phase transition for measure-valued sir epidemic processes
    • Lalley SP, Perkins EA, Zheng X (2014) A phase transition for measure-valued sir epidemic processes. The Annals of Probability 42:237-310. doi: 10.1214/13-AOP846
    • (2014) The Annals of Probability , vol.42 , pp. 237-310
    • Lalley, S.P.1    Perkins, E.A.2    Zheng, X.3
  • 17
    • 0035925696 scopus 로고    scopus 로고
    • Herd immunity after vaccination: How to quantify it and how to use it to halt disease
    • PMID: 11257415
    • De Jong MC, Bouma A (2001) Herd immunity after vaccination: How to quantify it and how to use it to halt disease. Vaccine 19:2722-2728. doi: 10.1016/S0264-410X (00) 00509-0 PMID: 11257415
    • (2001) Vaccine , vol.19 , pp. 2722-2728
    • De Jong, M.C.1    Bouma, A.2
  • 18
    • 84859721886 scopus 로고    scopus 로고
    • Dynamic resource allocation in disaster response: Tradeoffs in wildfire suppression
    • PMID: 22514605
    • Petrovic N, Alderson DL, Carlson JM (2012) Dynamic resource allocation in disaster response: Tradeoffs in wildfire suppression. PLoS ONE 7:e33285. doi: 10.1371/journal.pone.0033285 PMID: 22514605
    • (2012) PLoS ONE , vol.7 , pp. e33285
    • Petrovic, N.1    Alderson, D.L.2    Carlson, J.M.3
  • 19
    • 77955650681 scopus 로고    scopus 로고
    • Stochasticity in staged models of epidemics: Quantifying the dynamics of whooping cough
    • PMID: 20164086
    • Black A, McKane A (2010) Stochasticity in staged models of epidemics: quantifying the dynamics of whooping cough. J R Soc Interface 7:1219-1227. doi: 10.1098/rsif.2009.0514 PMID: 20164086
    • (2010) J R Soc Interface , vol.7 , pp. 1219-1227
    • Black, A.1    McKane, A.2
  • 20
    • 33751347484 scopus 로고    scopus 로고
    • The finite projection algorithm for the solution of the chemical master equation
    • PMID: 16460146
    • Munsky B, Khammash M (2006) The finite projection algorithm for the solution of the chemical master equation. J Chem Phys 124:044104. doi: 10.1063/1.2145882 PMID: 16460146
    • (2006) J Chem Phys , vol.124 , pp. 044104
    • Munsky, B.1    Khammash, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.