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Volumn 216, Issue 1, 2008, Pages 56-62

Contact rate calculation for a basic epidemic model

Author keywords

Basic reproductive ratio; Homogeneous mixing; Mass action; Spatial epidemic model

Indexed keywords

ACTION MODELS; ANALYTIC; ANALYTIC FORMULAS; ANIMAL POPULATIONS; BASIC REPRODUCTIVE RATIO; BASIC REPRODUCTIVE RATIOS; CONTACT PROCESSES; DENSITY DEPENDENTS; DISEASE DYNAMICS; EPIDEMIC DYNAMICS; EPIDEMIC MODELS; FREQUENCY DEPENDENTS; HOMOGENEOUS MIXING; INFECTIOUS PATHOGENS; KINETIC MODELS; MASS-ACTION; RATE CALCULATIONS; SPATIAL EPIDEMIC MODEL;

EID: 54449100092     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2008.08.007     Document Type: Article
Times cited : (34)

References (30)
  • 2
    • 0003848433 scopus 로고
    • Grenfell B.T., and Dobson A.P. (Eds), Publications of the Newton Institute, Cambridge University, Cambridge
    • In: Grenfell B.T., and Dobson A.P. (Eds). Ecology of Infectious Diseases in Natural Populations (1995), Publications of the Newton Institute, Cambridge University, Cambridge
    • (1995) Ecology of Infectious Diseases in Natural Populations
  • 3
    • 0035358852 scopus 로고    scopus 로고
    • How should pathogen transmission be modelled?
    • McCallum H., Barlow N., and Hone J. How should pathogen transmission be modelled?. Trends Ecol. Evol. 16 (2001) 295
    • (2001) Trends Ecol. Evol. , vol.16 , pp. 295
    • McCallum, H.1    Barlow, N.2    Hone, J.3
  • 4
    • 0033594451 scopus 로고    scopus 로고
    • The effects of local spatial structure on epidemiological invasions
    • Keeling M.J. The effects of local spatial structure on epidemiological invasions. Proc. R. Soc. B 266 (1999) 859
    • (1999) Proc. R. Soc. B , vol.266 , pp. 859
    • Keeling, M.J.1
  • 5
    • 33750712007 scopus 로고    scopus 로고
    • The network of sheep movements within Great Britain: network properties and their implication for disease spread
    • Kiss I.Z., Green D.M., and Kao R.R. The network of sheep movements within Great Britain: network properties and their implication for disease spread. J. Roy. Soc. Interface 3 (2006) 669
    • (2006) J. Roy. Soc. Interface , vol.3 , pp. 669
    • Kiss, I.Z.1    Green, D.M.2    Kao, R.R.3
  • 7
    • 0002091257 scopus 로고
    • How does transmission of infection depend on population size?
    • Mollison D. (Ed), Publications of the Newton Institute, Cambridge University, Cambridge
    • de Jong M.C.M., Diekmann O., and Heesterbeek H. How does transmission of infection depend on population size?. In: Mollison D. (Ed). Epidemic Models: Their Structure and Relation to Data (1995), Publications of the Newton Institute, Cambridge University, Cambridge
    • (1995) Epidemic Models: Their Structure and Relation to Data
    • de Jong, M.C.M.1    Diekmann, O.2    Heesterbeek, H.3
  • 8
    • 0001778313 scopus 로고
    • Overall population patterns in the transmission cycle of infectious agents
    • Anderson R.M., and May R.M. (Eds), Springer, Berlin
    • Dietz K. Overall population patterns in the transmission cycle of infectious agents. In: Anderson R.M., and May R.M. (Eds). Population Biology of Infectious Diseases (1982), Springer, Berlin 87
    • (1982) Population Biology of Infectious Diseases , pp. 87
    • Dietz, K.1
  • 9
    • 54449099283 scopus 로고    scopus 로고
    • D. Schenzle, K. Dietz, Critical population sizes for endemic viral transmission, in: W. Fricke, E. Hinz (Eds.), Raumliche Persistenz und Diffusion von Krankheiten, Heidelberger geographische Arbeiten 83, 1987, p. 31.
    • D. Schenzle, K. Dietz, Critical population sizes for endemic viral transmission, in: W. Fricke, E. Hinz (Eds.), Raumliche Persistenz und Diffusion von Krankheiten, Heidelberger geographische Arbeiten 83, 1987, p. 31.
  • 10
    • 0028886891 scopus 로고
    • A generalised model of parasitoid, venereal, and vector-based transmission processes
    • Antonovics J., Iwasa Y., and Hassell M.P. A generalised model of parasitoid, venereal, and vector-based transmission processes. Am. Nat. 145 (1995) 661
    • (1995) Am. Nat. , vol.145 , pp. 661
    • Antonovics, J.1    Iwasa, Y.2    Hassell, M.P.3
  • 11
    • 0036677204 scopus 로고    scopus 로고
    • A clarification of transmission terms in host-microparasite models: numbers, densities and areas
    • Begon M., Bennett M., Bowers R.G., French N.P., Hazel S.M., and Turner J. A clarification of transmission terms in host-microparasite models: numbers, densities and areas. Epidemiol. Infect. 129 (2002) 147
    • (2002) Epidemiol. Infect. , vol.129 , pp. 147
    • Begon, M.1    Bennett, M.2    Bowers, R.G.3    French, N.P.4    Hazel, S.M.5    Turner, J.6
  • 12
    • 0002168648 scopus 로고
    • The legacy of Kermack and McKendrick
    • Mollison D. (Ed), Publications of the Newton Institute, Cambridge University, Cambridge
    • Diekmann O., Heesterbeek H., and Metz H. The legacy of Kermack and McKendrick. In: Mollison D. (Ed). Epidemic Models: Their Structure and Relation to Data (1995), Publications of the Newton Institute, Cambridge University, Cambridge
    • (1995) Epidemic Models: Their Structure and Relation to Data
    • Diekmann, O.1    Heesterbeek, H.2    Metz, H.3
  • 13
    • 0034617764 scopus 로고    scopus 로고
    • Planktonic contact rates in homogeneous isotropic turbulence: theoretical predictions and kinematic simulations
    • Lewis D.M., and Pedley T.J. Planktonic contact rates in homogeneous isotropic turbulence: theoretical predictions and kinematic simulations. J. Theor. Biol. 205 (2000) 377
    • (2000) J. Theor. Biol. , vol.205 , pp. 377
    • Lewis, D.M.1    Pedley, T.J.2
  • 14
    • 0002900262 scopus 로고
    • Encounter probabilities and community structure in zooplankton: a mathematical model
    • Gerritsen J., and Strickler J.R. Encounter probabilities and community structure in zooplankton: a mathematical model. J. Fish. Res. Brd. Can. 34 (1977) 73
    • (1977) J. Fish. Res. Brd. Can. , vol.34 , pp. 73
    • Gerritsen, J.1    Strickler, J.R.2
  • 17
  • 18
    • 0028248821 scopus 로고
    • The importance of being discrete (and spatial)
    • Durrett R., and Levin S.A. The importance of being discrete (and spatial). Theor. Popul. Biol. 46 (1994) 363
    • (1994) Theor. Popul. Biol. , vol.46 , pp. 363
    • Durrett, R.1    Levin, S.A.2
  • 19
    • 0028552640 scopus 로고
    • Stochastic spatial models: a user's guide to ecological applications
    • Durrett R., and Levin S.A. Stochastic spatial models: a user's guide to ecological applications. Philos. Trans. R. Soc. Lond. B343 (1994) 329
    • (1994) Philos. Trans. R. Soc. Lond. , vol.B343 , pp. 329
    • Durrett, R.1    Levin, S.A.2
  • 20
    • 0029993942 scopus 로고    scopus 로고
    • Power laws governing epidemics in isolated populations
    • Rhodes C.J., and Anderson R.M. Power laws governing epidemics in isolated populations. Nature 381 (1996) 600
    • (1996) Nature , vol.381 , pp. 600
    • Rhodes, C.J.1    Anderson, R.M.2
  • 21
    • 0000270235 scopus 로고
    • The theory of search. I. Kinematic bases
    • Koopman B.O. The theory of search. I. Kinematic bases. Oper. Res. 4 (1956) 324
    • (1956) Oper. Res. , vol.4 , pp. 324
    • Koopman, B.O.1
  • 25
    • 31444431866 scopus 로고    scopus 로고
    • The scaling laws of human travel
    • Brockmann T., Hufnagel L., and Geisel T. The scaling laws of human travel. Nature 439 (2006) 462
    • (2006) Nature , vol.439 , pp. 462
    • Brockmann, T.1    Hufnagel, L.2    Geisel, T.3
  • 26
    • 33646520569 scopus 로고    scopus 로고
    • Co-operative random Levy flight searches and the flight pattern of honey bees
    • Reynolds A.M. Co-operative random Levy flight searches and the flight pattern of honey bees. Phys. Lett. A354 (2006) 384
    • (2006) Phys. Lett. , vol.A354 , pp. 384
    • Reynolds, A.M.1
  • 27
    • 44849122540 scopus 로고    scopus 로고
    • Understanding individual human mobility patterns
    • Gonzalez M.C., Hidalgo C.A., and Barabasi A.-L. Understanding individual human mobility patterns. Nature 453 (2008) 779
    • (2008) Nature , vol.453 , pp. 779
    • Gonzalez, M.C.1    Hidalgo, C.A.2    Barabasi, A.-L.3
  • 28
    • 0035913371 scopus 로고    scopus 로고
    • Reproductive pair correlations and clustering of organisms
    • Young W.R., Roberts A.J., and Stuhne G. Reproductive pair correlations and clustering of organisms. Nature 412 (2001) 328
    • (2001) Nature , vol.412 , pp. 328
    • Young, W.R.1    Roberts, A.J.2    Stuhne, G.3
  • 29
    • 4143075038 scopus 로고    scopus 로고
    • A Malthusian curb on spatial structure in micro-organism populations
    • Martin A.P. A Malthusian curb on spatial structure in micro-organism populations. J. Theor. Biol. 230 (2004) 343
    • (2004) J. Theor. Biol. , vol.230 , pp. 343
    • Martin, A.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.