메뉴 건너뛰기




Volumn 208, Issue 1, 2007, Pages 76-97

Some properties of a simple stochastic epidemic model of SIR type

Author keywords

Epidemic model; SIR

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; POPULATION DYNAMICS; PROBABILITY DISTRIBUTIONS; RANDOM NUMBER GENERATION; STOCHASTIC CONTROL SYSTEMS;

EID: 34249301320     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2006.09.018     Document Type: Article
Times cited : (79)

References (24)
  • 1
    • 0036677591 scopus 로고    scopus 로고
    • Emergency response to a smallpox attack: the case for mass vaccination
    • Kaplan E.H., Craft D.L., and Wein L.M. Emergency response to a smallpox attack: the case for mass vaccination. Proc. Natl. Acad. Sci. USA 99 (2002) 10935
    • (2002) Proc. Natl. Acad. Sci. USA , vol.99 , pp. 10935
    • Kaplan, E.H.1    Craft, D.L.2    Wein, L.M.3
  • 3
    • 0034486891 scopus 로고    scopus 로고
    • The mathematics of infectious diseases
    • Hethcote H.W. The mathematics of infectious diseases. SIAM Rev. 42 (2000) 599
    • (2000) SIAM Rev. , vol.42 , pp. 599
    • Hethcote, H.W.1
  • 4
    • 0000998185 scopus 로고
    • A contribution to the mathematical theory of epidemics part I
    • Kermack W.O., and McKendrick A.G. A contribution to the mathematical theory of epidemics part I. Proc. Roy. Soc. Lond. A115 (1927) 700
    • (1927) Proc. Roy. Soc. Lond. , vol.A115 , pp. 700
    • Kermack, W.O.1    McKendrick, A.G.2
  • 5
    • 0001992090 scopus 로고
    • Essai d'une nouvelle analyse de la mortalité causée par la petite vérole, et des avantages de l'Inoculation pour la prévenir
    • Bernoulli D. Essai d'une nouvelle analyse de la mortalité causée par la petite vérole, et des avantages de l'Inoculation pour la prévenir. Mém. Math. Phys. Acad. Roy. Sci. 6 (1760) 1
    • (1760) Mém. Math. Phys. Acad. Roy. Sci. , vol.6 , pp. 1
    • Bernoulli, D.1
  • 8
    • 34249332142 scopus 로고    scopus 로고
    • V. Isham, Stochastic models for epidemics: current issues and developments, in: Celebrating Statistics: Papers in honor of Sir David Cox on his 80th birthday, Oxford University Press, Oxford, 2005.
  • 9
    • 0344020442 scopus 로고
    • On the statistical measure of infectiousness
    • Greenwood M. On the statistical measure of infectiousness. J. Hyg. Camb. 31 (1931) 336
    • (1931) J. Hyg. Camb. , vol.31 , pp. 336
    • Greenwood, M.1
  • 10
    • 0001242066 scopus 로고
    • An examination of the Reed-Frost theory of epidemics
    • Abbey H. An examination of the Reed-Frost theory of epidemics. Hum. Biol. 24 (1952) 201
    • (1952) Hum. Biol. , vol.24 , pp. 201
    • Abbey, H.1
  • 11
    • 0342905397 scopus 로고    scopus 로고
    • Predicting the course of meningococcal disease outbreaks in closed subpopulations
    • Ranta J., Makela P.H., Takala A., and Arjas E. Predicting the course of meningococcal disease outbreaks in closed subpopulations. Epidemiol. Infect. 123 (1999) 359
    • (1999) Epidemiol. Infect. , vol.123 , pp. 359
    • Ranta, J.1    Makela, P.H.2    Takala, A.3    Arjas, E.4
  • 12
    • 0142116199 scopus 로고    scopus 로고
    • A stochastic-modeling evaluation of the foot-and-mouth-disease survey conducted after the outbreak in Miyazaki, Japan in 2000
    • Tsutsui T., Minamib N., Koiwai M., Hamaokaa T., Yamanea I., and Shimura K. A stochastic-modeling evaluation of the foot-and-mouth-disease survey conducted after the outbreak in Miyazaki, Japan in 2000. Prev. Vet. Med. 61 (2003) 45
    • (2003) Prev. Vet. Med. , vol.61 , pp. 45
    • Tsutsui, T.1    Minamib, N.2    Koiwai, M.3    Hamaokaa, T.4    Yamanea, I.5    Shimura, K.6
  • 13
    • 0037199614 scopus 로고    scopus 로고
    • Simulation-model evaluation of bovine tuberculosis-eradication strategies in Argentine dairy herds
    • Perez A.M., Ward M.P., and Ritacco V. Simulation-model evaluation of bovine tuberculosis-eradication strategies in Argentine dairy herds. Prev. Vet. Med. 54 (2002) 351
    • (2002) Prev. Vet. Med. , vol.54 , pp. 351
    • Perez, A.M.1    Ward, M.P.2    Ritacco, V.3
  • 14
    • 0037199618 scopus 로고    scopus 로고
    • Simulation model of within-herd transmission of bovine tuberculosis in Argentine dairy herds
    • Perez A.M., Ward M.P., Charmandarian A., and Ritacco V. Simulation model of within-herd transmission of bovine tuberculosis in Argentine dairy herds. Prev. Vet. Med. 54 (2002) 361
    • (2002) Prev. Vet. Med. , vol.54 , pp. 361
    • Perez, A.M.1    Ward, M.P.2    Charmandarian, A.3    Ritacco, V.4
  • 15
    • 0032086562 scopus 로고    scopus 로고
    • A Reed-Frost model of the spread of tuberculosis within seven Swedish extensive farmed fallow deer herds
    • Wahlstrom H., Englund L., Carpenter T., Emanuelson U., Engvall A., and Vagsholm I. A Reed-Frost model of the spread of tuberculosis within seven Swedish extensive farmed fallow deer herds. Prev. Vet. Med. 35 (1998) 181
    • (1998) Prev. Vet. Med. , vol.35 , pp. 181
    • Wahlstrom, H.1    Englund, L.2    Carpenter, T.3    Emanuelson, U.4    Engvall, A.5    Vagsholm, I.6
  • 16
    • 4544345134 scopus 로고    scopus 로고
    • Approximating the Reed-Frost epidemic process
    • Barbour A.D., and Utev S. Approximating the Reed-Frost epidemic process. Stoch. Proc. Appl. 113 (2004) 173
    • (2004) Stoch. Proc. Appl. , vol.113 , pp. 173
    • Barbour, A.D.1    Utev, S.2
  • 17
    • 0036234547 scopus 로고    scopus 로고
    • Optimal vaccination policies for stochastic epidemics among a population of households
    • Ball F.G., and Lyne O.D. Optimal vaccination policies for stochastic epidemics among a population of households. Math. Biosci. 177,178 (2002) 333
    • (2002) Math. Biosci. , vol.177-178 , pp. 333
    • Ball, F.G.1    Lyne, O.D.2
  • 19
    • 0033235817 scopus 로고    scopus 로고
    • The distribution of general final state random variables for stochastic epidemic models
    • Ball F.G., and O'Neill P. The distribution of general final state random variables for stochastic epidemic models. J. Appl. Prob. 36 (1999) 473
    • (1999) J. Appl. Prob. , vol.36 , pp. 473
    • Ball, F.G.1    O'Neill, P.2
  • 20
    • 0000045988 scopus 로고
    • On the asymptotic distribution of the size of a stochastic epidemic
    • Sellke T. On the asymptotic distribution of the size of a stochastic epidemic. J. Appl. Prob. 20 (1983) 390
    • (1983) J. Appl. Prob. , vol.20 , pp. 390
    • Sellke, T.1
  • 21
    • 0002708819 scopus 로고
    • A non-standard family of polynomials and the final-size distribution of Reed-Frost epidemic processes
    • Lefevre C., and Picard P. A non-standard family of polynomials and the final-size distribution of Reed-Frost epidemic processes. Adv. Appl. Prob. 22 (1990) 25
    • (1990) Adv. Appl. Prob. , vol.22 , pp. 25
    • Lefevre, C.1    Picard, P.2
  • 22
    • 0025079037 scopus 로고
    • A generalized chain-binomial model with application to HIV infection
    • Ng J., and Orav E.J. A generalized chain-binomial model with application to HIV infection. Math. Biosci. 101 (1990) 99
    • (1990) Math. Biosci. , vol.101 , pp. 99
    • Ng, J.1    Orav, E.J.2
  • 23
    • 23944460027 scopus 로고    scopus 로고
    • Compound Poisson limits for household epidemics
    • Neal P. Compound Poisson limits for household epidemics. J. Appl. Prob. 42 (2005) 334
    • (2005) J. Appl. Prob. , vol.42 , pp. 334
    • Neal, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.