메뉴 건너뛰기




Volumn 28, Issue 3, 2011, Pages 227-244

Modelling disease spread in dispersal networks at two levels

Author keywords

Basic reproduction number; Networks; Population dispersal

Indexed keywords

DYNAMICS; SMALL-WORLD NETWORKS;

EID: 80052429178     PISSN: 14778599     EISSN: 14778602     Source Type: Journal    
DOI: 10.1093/imammb/dqq007     Document Type: Article
Times cited : (29)

References (34)
  • 1
    • 0032264732 scopus 로고    scopus 로고
    • Limit theorems for a random graph epidemic model
    • ANDERSON, H. (1998) Limit theorems for a random graph epidemic model. Ann. Appl. Probab., 8, 1331-1349.
    • (1998) Ann. Appl. Probab. , vol.8 , pp. 1331-1349
    • Anderson, H.1
  • 3
    • 77957175423 scopus 로고
    • A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV) the causative agent of AIDS
    • ANDERSON, R. M., MEDLEY, G. F., MAY, R. M. & JOHNSON, A. M. (1986) A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV) the causative agent of AIDS. IMA J. Math. Appl. Med. Biol., 3, 229-263.
    • (1986) IMA J. Math. Appl. Med. Biol. , vol.3 , pp. 229-263
    • Anderson, R.M.1    Medley, G.F.2    May, R.M.3    Johnson, A.M.4
  • 4
    • 0032896314 scopus 로고    scopus 로고
    • Stochastic and deterministic models for SIS epidemics among a population partitioned into households
    • BALL, F. (1999) Stochastic and deterministic models for SIS epidemics among a population partitioned into households. Math. BioSci., 156, 41-67.
    • (1999) Math. BioSci. , vol.156 , pp. 41-67
    • Ball, F.1
  • 5
    • 35348853268 scopus 로고    scopus 로고
    • Stochastic epidemic models in structured populations featuring dynamic vaccination and isolation
    • BALL, F., O'NEILL, P. D. & PIKE, J. (2007) Stochastic epidemic models in structured populations featuring dynamic vaccination and isolation. J. Appl. Probab., 4, 571-585.
    • (2007) J. Appl. Probab. , vol.4 , pp. 571-585
    • Ball, F.1    O'neill, P.D.2    Pike, J.3
  • 6
    • 0029654470 scopus 로고
    • Space, persistence and dynamics of measles epidemics
    • BOLKER, B. & GRENFELL, B. (1995) Space, persistence and dynamics of measles epidemics. Phil. Trans. R. Soc. B, 348, 309-320.
    • (1995) Phil. Trans. R. Soc. B , vol.348 , pp. 309-320
    • Bolker, B.1    Grenfell, B.2
  • 8
    • 0025159677 scopus 로고
    • On the definition and the computation of the basic reproduction ratio R0; in models for infectious diseases in heterogeneous populations
    • DIEKMANN, O., HEESTERBEEK, J. A. P. & METZ, J. A. J. (1990) On the definition and the computation of the basic reproduction ratio R0; in models for infectious diseases in heterogeneous populations. J. Math. Biol., 28, 365-382.
    • (1990) J. Math. Biol. , vol.28 , pp. 365-382
    • Diekmann, O.1    Heesterbeek, J.A.P.2    Metz, J.A.J.3
  • 9
    • 0035843902 scopus 로고    scopus 로고
    • The foot-and-mouth epidemic in Great Britain: pattern of spread and impact of interventions
    • FERGUSON, N. M., DONNELLY, C. A. & ANDERSON, R. M. (2001) The foot-and-mouth epidemic in Great Britain: pattern of spread and impact of interventions. Science, 292, 1155-1160.
    • (2001) Science , vol.292 , pp. 1155-1160
    • Ferguson, N.M.1    Donnelly, C.A.2    Anderson, R.M.3
  • 10
    • 0035893432 scopus 로고    scopus 로고
    • Descriptive epidemiology of the 2001 foot-and-mouth disease epidemic in Great Britain: The first five months
    • GIBBENS, J. C., SHARPE, C. E., WILESMITH, J. W., MANSLEY, L. M., MICHALOPOULOU, E., RYAN, J. B. & HUDSON, M. (2001) Descriptive epidemiology of the 2001 foot-and-mouth disease epidemic in Great Britain: The first five months. Vet. Rec., 149, 729-743.
    • (2001) Vet. Rec. , vol.149 , pp. 729-743
    • Gibbens, J.C.1    Sharpe, C.E.2    Wilesmith, J.W.3    Mansley, L.M.4    Michalopoulou, E.5    Ryan, J.B.6    Hudson, M.7
  • 12
    • 2542426854 scopus 로고    scopus 로고
    • SIS epidemics with household structure: the selfconsistent field method
    • GHOSHAL, G., SANDER, L. M. & SOKOLOV, I. M. (2004) SIS epidemics with household structure: the selfconsistent field method. Math. BioSci., 190, 71-85.
    • (2004) Math. BioSci. , vol.190 , pp. 71-85
    • Ghoshal, G.1    Sander, L.M.2    Sokolov, I.M.3
  • 13
    • 0033594451 scopus 로고    scopus 로고
    • The effects of local spatial structure on epidemiological invasions
    • KEELING, M. J. (1999) The effects of local spatial structure on epidemiological invasions. Proc. R. Soc. B., 266, 859-867.
    • (1999) Proc. R. Soc. B. , vol.266 , pp. 859-867
    • Keeling, M.J.1
  • 14
    • 33646893242 scopus 로고    scopus 로고
    • Review. Networks and epidemic models
    • KEELING, M. J. & EAMES, K. T. D. (2005) Review. Networks and epidemic models. J. R. Soc. Interface, 2, 295-307.
    • (2005) J. R. Soc. Interface , vol.2 , pp. 295-307
    • Keeling, M.J.1    Eames, K.T.D.2
  • 15
    • 0033578117 scopus 로고    scopus 로고
    • Seroprevalence of Neospora caninum and abortion in dairy cows in northern Spain
    • MAINAR-JAIME, R. C., THURMOND, M. C., BERZAL-HERRANZ, B. & HIETALA, S. K. (1999) Seroprevalence of Neospora caninum and abortion in dairy cows in northern Spain. Vet. Rec., 145, 72-75.
    • (1999) Vet. Rec. , vol.145 , pp. 72-75
    • Mainar-Jaime, R.C.1    Thurmond, M.C.2    Berzal-Herranz, B.3    Hietala, S.K.4
  • 16
    • 0024300994 scopus 로고
    • The transmission dynamics of human immunodeficiency virus (HIV)
    • MAY, R. M. & ANDERSON, R. M. (1988) The transmission dynamics of human immunodeficiency virus (HIV). Phil. Trans. R. Soc. London B, Biol. Sci., 321, 565-607.
    • (1988) Phil. Trans. R. Soc. London B, Biol. Sci. , vol.321 , pp. 565-607
    • May, R.M.1    Anderson, R.M.2
  • 17
    • 0035689341 scopus 로고    scopus 로고
    • Infection dynamics on scale-free networks
    • MAY, R. M. & LLOYD, A. L. (2001) Infection dynamics on scale-free networks. Phys. Rev. E., 64, 066112.
    • (2001) Phys. Rev. E. , vol.64 , pp. 066112
    • May, R.M.1    Lloyd, A.L.2
  • 18
    • 0034186340 scopus 로고    scopus 로고
    • Epidemics and percolation in small-world networks
    • MOORE, C. & NEWMAN, M. E. J. (2000) Epidemics and percolation in small-world networks. Phys. Rev. E., 61, 5678-5682.
    • (2000) Phys. Rev. E. , vol.61 , pp. 5678-5682
    • Moore, C.1    Newman, M.E.J.2
  • 19
    • 33846982612 scopus 로고    scopus 로고
    • Stochastic and deterministic analysis of SIS household epidemics
    • NEAL, P. (2006) Stochastic and deterministic analysis of SIS household epidemics. Adv. Appl. Probab., 38, 943-968.
    • (2006) Adv. Appl. Probab. , vol.38 , pp. 943-968
    • Neal, P.1
  • 20
    • 0033487710 scopus 로고    scopus 로고
    • Scaling and percolation in the small-world network model
    • NEWMAN, M. E. J. & WATTS, D. J. (1999) Scaling and percolation in the small-world network model. Phys. Rev. E., 60, 7332-7342.
    • (1999) Phys. Rev. E. , vol.60 , pp. 7332-7342
    • Newman, M.E.J.1    Watts, D.J.2
  • 21
    • 0003114479 scopus 로고    scopus 로고
    • Correlation equations and pair approximations for spatial ecologies
    • (J. McGlade ed.). London: Blackwell Scientific Publishing
    • RAND, D. A. (1999) Correlation equations and pair approximations for spatial ecologies. Advanced Ecological Theory (J. McGlade ed.). London: Blackwell Scientific Publishing, pp. 99-143.
    • (1999) Advanced Ecological Theory , pp. 99-143
    • Rand, D.A.1
  • 22
    • 33747161363 scopus 로고    scopus 로고
    • The effect of global travel on the spread of SARS
    • RUAN, S., WANG, W. & LEVIN, S. A. (2006) The effect of global travel on the spread of SARS. Math. Biosci. Eng., 3, 205-218.
    • (2006) Math. Biosci. Eng. , vol.3 , pp. 205-218
    • Ruan, S.1    Wang, W.2    Levin, S.A.3
  • 23
    • 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. (2003) Simulating the effect of quarantine on the spread of the 1918-19 flu in central Canada. Bull. Math. Biol., 65, 1-26.
    • (2003) Bull. Math. Biol. , vol.65 , pp. 1-26
    • Sattenspiel, L.1    Herring, D.A.2
  • 25
    • 45049087008 scopus 로고    scopus 로고
    • Deterministic epidemiological models at the individual level
    • SHARKEY, K. J. (2008) Deterministic epidemiological models at the individual level. J. Math. Biol., 57, 311-331.
    • (2008) J. Math. Biol. , vol.57 , pp. 311-331
    • Sharkey, K.J.1
  • 26
    • 22244431605 scopus 로고    scopus 로고
    • The impacts of network topology on disease spread
    • SHIRLEY, M. D. F. & RUSHTON, S. P. (2005) The impacts of network topology on disease spread. Ecol. Complex., 2, 287-299.
    • (2005) Ecol. Complex. , vol.2 , pp. 287-299
    • Shirley, M.D.F.1    Rushton S.P2
  • 27
    • 42649103642 scopus 로고    scopus 로고
    • Deterministic epidemic models with explicit household structure
    • THOMAS, T. & KEELING, M. J. (2008) Deterministic epidemic models with explicit household structure. Math. Biosci., 213, 29-39.
    • (2008) Math. Biosci. , vol.213 , pp. 29-39
    • Thomas, T.1    Keeling, M.J.2
  • 28
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • VAN DEN DRIESSCHE, P. & WATMOUGH, J. (2002) Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci., 180, 29-48.
    • (2002) Math. Biosci. , vol.180 , pp. 29-48
    • Van Den Driessche, P.1    Watmough, J.2
  • 29
    • 0032570469 scopus 로고    scopus 로고
    • Risk factors for existence of bovine herpes virus 1 antibodies on nonvaccinating Dutch dairy farms
    • VAN SCHAIK, G., DIJKHUIZEN, A. A., HUIRNE, R. B. M., SCHUKKEN, Y. H., NIELEN, M. & HAGE, H. J. (1998) Risk factors for existence of bovine herpes virus 1 antibodies on nonvaccinating Dutch dairy farms. Prev. Vet. Med., 34, 125-136.
    • (1998) Prev. Vet. Med. , vol.34 , pp. 125-136
    • Van Schaik, G.1    Dijkhuizen, A.A.2    Huirne, R.B.M.3    Schukken, Y.H.4    Nielen, M.5    Hage, H.J.6
  • 30
    • 2542463400 scopus 로고    scopus 로고
    • An epidemic model in a patchy environment
    • WANG, W. D. & ZHAO, X.-Q. (2004) An epidemic model in a patchy environment. Math. Biosci., 190, 97-112.
    • (2004) Math. Biosci. , vol.190 , pp. 97-112
    • Wang, W.D.1    Zhao, X.-Q.2
  • 31
    • 33747178342 scopus 로고    scopus 로고
    • An epidemic model with population dispersal and infection period
    • WANG, W. D. & ZHAO, X.-Q. (2006) An epidemic model with population dispersal and infection period. SIAM J. Appl. Math., 66, 1454-1472.
    • (2006) SIAM J. Appl. Math. , vol.66 , pp. 1454-1472
    • Wang, W.D.1    Zhao, X.-Q.2
  • 32
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • WATTS, D. J. & STROGATZ, S. H. (1998) Collective dynamics of 'small-world' networks. Nature, 393, 440-442.
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 33
    • 80052443014 scopus 로고    scopus 로고
    • Migration and the risk of HIV/AIDS
    • XIA, G. M. & YANG, X. S. (2006) Migration and the risk of HIV/AIDS. Soc. Sci. China, 6, 88-99.
    • (2006) Soc. Sci. China , vol.6 , pp. 88-99
    • Xia, G.M.1    Yang, X.S.2
  • 34
    • 33845965005 scopus 로고    scopus 로고
    • Pair approximations and the inclusion of indirect transmission: theory and application to between farm transmission of Salmonella
    • XIAO, Y., FRENCH, N., BOWERS, R. & CLANCY D. (2007) Pair approximations and the inclusion of indirect transmission: theory and application to between farm transmission of Salmonella. J. Theor. Biol., 244, 532-540.
    • (2007) J. Theor. Biol. , vol.244 , pp. 532-540
    • Xiao, Y.1    French, N.2    Bowers, R.3    Clancy, D.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.