메뉴 건너뛰기




Volumn 6, Issue 2, 2009, Pages 239-259

The reproduction number Rt in structured and nonstructured populations

Author keywords

Generation interval; Reproduction number; Structured population

Indexed keywords

ARTICLE; BIOMETRY; COMMUNICABLE DISEASE; DISEASE TRANSMISSION; EPIDEMIC; HUMAN; METHODOLOGY; PREVALENCE; STATISTICS;

EID: 67650499116     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2009.6.239     Document Type: Article
Times cited : (5)

References (44)
  • 2
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • A.-L. Barabási and R. Albert, Emergence of scaling in random networks, Science, 286 (1999), 509-512.
    • (1999) Science , vol.286 , pp. 509-512
    • Barabási, A.-L.1    Albert, R.2
  • 5
    • 0030938669 scopus 로고    scopus 로고
    • A test of homogeneity versus a specified heterogeneity in an epidemic model
    • T. Britton, A test of homogeneity versus a specified heterogeneity in an epidemic model, Mathematical Biosciences, 141 (2007), 79-99.
    • (2007) Mathematical Biosciences , vol.141 , pp. 79-99
    • Britton, T.1
  • 7
    • 43649085116 scopus 로고    scopus 로고
    • Signatures of non-homogeneous mixing in disease outbreaks
    • T. Burr and G. Chowell, Signatures of non-homogeneous mixing in disease outbreaks, Mathematical and Computer Modeling, 48 (2008), 122-140.
    • (2008) Mathematical and Computer Modeling , vol.48 , pp. 122-140
    • Burr, T.1    Chowell, G.2
  • 9
    • 33748775204 scopus 로고    scopus 로고
    • Estimating in real time the efficacy of measures to control emerging communicable diseases
    • S. Cauchemez, P. Boelle, G. Thomas and A. Valleron, Estimating in real time the efficacy of measures to control emerging communicable diseases, American Journal of Epidemiology, 164 (2006), 591-597.
    • (2006) American Journal of Epidemiology , vol.164 , pp. 591-597
    • Cauchemez, S.1    Boelle, P.2    Thomas, G.3    Valleron, A.4
  • 10
    • 1442354946 scopus 로고    scopus 로고
    • Scaling laws for the movement of people between locations in a large city
    • G. Chowell, J. Hyman, S. Eubank and C. Castillo-Chavez, Scaling laws for the movement of people between locations in a large city, Physical Review E, 68 (2003), 066102.
    • (2003) Physical Review E , vol.68 , pp. 066102
    • Chowell, G.1    Hyman, J.2    Eubank, S.3    Castillo-Chavez, C.4
  • 11
    • 34547397026 scopus 로고    scopus 로고
    • Estimating the reproduction number from the initial phase of the Spanish flu pandemic waves in Geneva, Switzerland
    • G. Chowell, C. Ammon, N. Hengartner and J. Hyman, Estimating the reproduction number from the initial phase of the Spanish flu pandemic waves in Geneva, Switzerland, Mathematical Biosciences and Engineering, 4 (2007), 457-470.
    • (2007) Mathematical Biosciences and Engineering , vol.4 , pp. 457-470
    • Chowell, G.1    Ammon, C.2    Hengartner, N.3    Hyman, J.4
  • 15
    • 0344464754 scopus 로고    scopus 로고
    • The interval between successive cases of an infectious disease
    • P. Fine, The interval between successive cases of an infectious disease, American Journal of Epidemiology, 158 (2003), 1039-1047.
    • (2003) American Journal of Epidemiology , vol.158 , pp. 1039-1047
    • Fine, P.1
  • 17
    • 0003020529 scopus 로고
    • Gonorrhea Transmission Dynamics and Control
    • Springer, Berlin
    • H. Hethcote and J. Yorke, "Gonorrhea Transmission Dynamics and Control," Lecture Notes in Biomathematics, 56, Springer, Berlin, 1984.
    • (1984) Lecture Notes in Biomathematics , vol.56
    • Hethcote, H.1    Yorke, J.2
  • 18
    • 67650366339 scopus 로고    scopus 로고
    • E. Holmes, Basic Epidemiological Concepts in a Spatial Context, pp. 111. In: D. Tilman, P. Kareiva, Eds. 1997. Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions, Monographs in Population Biology, Princeton University Press.
    • E. Holmes, "Basic Epidemiological Concepts in a Spatial Context," pp. 111. In: D. Tilman, P. Kareiva, Eds. 1997. "Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions," Monographs in Population Biology, Princeton University Press.
  • 19
    • 0017167162 scopus 로고
    • Studies on the 1967-68 foot and mouth disease epidemic incubation period and herd serial interval
    • M. Hugh-Jones and R. Tinline, Studies on the 1967-68 foot and mouth disease epidemic incubation period and herd serial interval, Journal of Hygiene, 77 (1976), 141-153.
    • (1976) Journal of Hygiene , vol.77 , pp. 141-153
    • Hugh-Jones, M.1    Tinline, R.2
  • 20
    • 0031207389 scopus 로고    scopus 로고
    • Disease transmission models with biased partnership selection
    • J. Hyman and J. Li, Disease transmission models with biased partnership selection, Applied Numerical Mathematics, 24 (1997), 1-14.
    • (1997) Applied Numerical Mathematics , vol.24 , pp. 1-14
    • Hyman, J.1    Li, J.2
  • 22
  • 23
    • 42649138862 scopus 로고    scopus 로고
    • Generation interval contraction and epidemic dataanalysis
    • E. Kenah, M. Lipsitch and J. Robins, Generation interval contraction and epidemic dataanalysis, Mathematical Biosciences, 213 (2007), 71-79.
    • (2007) Mathematical Biosciences , vol.213 , pp. 71-79
    • Kenah, E.1    Lipsitch, M.2    Robins, J.3
  • 24
    • 33748186988 scopus 로고    scopus 로고
    • The effect of contact heterogeneity and multiple routes of transmission on final epidemic size
    • I. Kiss, D. Green and R. Kao, The effect of contact heterogeneity and multiple routes of transmission on final epidemic size, Mathematical Biosciences, 203 (2006), 124-136.
    • (2006) Mathematical Biosciences , vol.203 , pp. 124-136
    • Kiss, I.1    Green, D.2    Kao, R.3
  • 27
    • 0000073691 scopus 로고
    • Qualitative analysis of insect outbreak systems: The spruce budwormand forest
    • D. Ludwig and D. Jones, Qualitative analysis of insect outbreak systems: The spruce budwormand forest, The Journal of Animal Ecology, 47 (1978), 315-322.
    • (1978) The Journal of Animal Ecology , vol.47 , pp. 315-322
    • Ludwig, D.1    Jones, D.2
  • 28
    • 0016636706 scopus 로고
    • Final size distributions for epidemics
    • D. Ludwig, Final size distributions for epidemics, Mathematical Biosciences, 23 (1975), 33- 46.
    • (1975) Mathematical Biosciences , vol.23 , pp. 33-46
    • Ludwig, D.1
  • 29
    • 67650369141 scopus 로고    scopus 로고
    • Computation of the transient and final size distribution for an epidemic in a finite heterogeneous population
    • Abstract in:, Pavia, Italy. September
    • S. Marion and C. Greenwood, Computation of the transient and final size distribution for an epidemic in a finite heterogeneous population, Abstract in: Conference on highly structured stochastic systems, Pavia, Italy. September, 1999.
    • (1999) Conference on highly structured stochastic systems
    • Marion, S.1    Greenwood, C.2
  • 30
    • 33746581986 scopus 로고    scopus 로고
    • Generality of the final size formula for an epidemic of a newly invading infectious disease
    • J. Ma and D. Earn, Generality of the final size formula for an epidemic of a newly invading infectious disease, Bulletin of Mathematical Biology, 68 (2006), 679-702.
    • (2006) Bulletin of Mathematical Biology , vol.68 , pp. 679-702
    • Ma, J.1    Earn, D.2
  • 31
    • 0021529194 scopus 로고
    • Spatial heterogeneity and the design of immunization programs
    • R. May and R. Anderson, Spatial heterogeneity and the design of immunization programs, Mathematical Biosciences, 72 (1984), 83-111.
    • (1984) Mathematical Biosciences , vol.72 , pp. 83-111
    • May, R.1    Anderson, R.2
  • 34
    • 67650371605 scopus 로고    scopus 로고
    • The spread of infectious diseases through clustered populations, J. Royal Society Interface
    • In press
    • J. C. Miller, The spread of infectious diseases through clustered populations, J. Royal Society Interface, In press.
    • Miller, J.C.1
  • 35
    • 0035895239 scopus 로고    scopus 로고
    • Coauthorship networks and patterns of scientific collaboration
    • M. Newman, Coauthorship networks and patterns of scientific collaboration, Proc. Natl. Acad. Sci. USA, 98 (2003), 404-409.
    • (2003) Proc. Natl. Acad. Sci. USA , vol.98 , pp. 404-409
    • Newman, M.1
  • 37
    • 67650411939 scopus 로고    scopus 로고
    • The R Project for Statistical Computing, http://www.r-project.org.
  • 38
    • 0023705860 scopus 로고
    • The spread and persistence of infectious diseases in structured population
    • L. Sattenspiel and C. Simon, The spread and persistence of infectious diseases in structured population, Mathematical Biosciences, 90 (1988), 341-366.
    • (1988) Mathematical Biosciences , vol.90 , pp. 341-366
    • Sattenspiel, L.1    Simon, C.2
  • 39
    • 67650387625 scopus 로고    scopus 로고
    • Splus for Windows version 7.0, 2005, Insightful Corporation
    • Splus for Windows version 7.0, 2005, Insightful Corporation.
  • 40
    • 34249287652 scopus 로고    scopus 로고
    • A note on generation times in epidemic models
    • A. Svensson, A note on generation times in epidemic models, Mathematical Biosciences, 208 (2007), 300-311.
    • (2007) Mathematical Biosciences , vol.208 , pp. 300-311
    • Svensson, A.1
  • 41
    • 4544318829 scopus 로고    scopus 로고
    • Different epidemic curves for severe acute respiratory syndrome reveal similar impacts of control measures
    • J. Wallinga and P. Teunis, Different epidemic curves for severe acute respiratory syndrome reveal similar impacts of control measures, American Journal of Epidemiology, 160 (2004), 509-516.
    • (2004) American Journal of Epidemiology , vol.160 , pp. 509-516
    • Wallinga, J.1    Teunis, P.2
  • 42
    • 34249951995 scopus 로고    scopus 로고
    • How generation intervals shape the relationship between growth rates and reproduction numbers
    • J. Wallinga and M. Lipsitch, How generation intervals shape the relationship between growth rates and reproduction numbers, Proceedings Biological Sciences, 274 (2007), 599-604.
    • (2007) Proceedings Biological Sciences , vol.274 , pp. 599-604
    • Wallinga, J.1    Lipsitch, M.2
  • 43
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of "small- world" networks
    • D. Watts and S. Strogatz, Collective dynamics of "small- world" networks, Nature, 393 (1998), 440.
    • (1998) Nature , vol.393 , pp. 440
    • Watts, D.1    Strogatz, S.2
  • 44
    • 48049084567 scopus 로고    scopus 로고
    • A likelihood-based method for real-time esimation of the serial interval and reproduction number of an epidemic
    • L. White and M. Pagano, A likelihood-based method for real-time esimation of the serial interval and reproduction number of an epidemic, Statistics in Medicine, 27 (2007), 2999- 3016.
    • (2007) Statistics in Medicine , vol.27 , pp. 2999-3016
    • White, L.1    Pagano, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.