메뉴 건너뛰기




Volumn 37, Issue 5, 2013, Pages 3093-3101

Threshold dynamics for a cholera epidemic model with periodic transmission rate

Author keywords

Cholera model; Extinction; Global stability; Uniform persistence

Indexed keywords

ANALYTICAL RESULTS; BASIC REPRODUCTION NUMBER; DISEASE-FREE EQUILIBRIUM; EPIDEMIC MODELS; GLOBAL STABILITY; GLOBALLY ASYMPTOTICALLY STABLE; PERIODIC TRANSMISSION; POSITIVE PERIODIC SOLUTION; THRESHOLD DYNAMICS; UNIFORM PERSISTENCE;

EID: 84872497480     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2012.07.044     Document Type: Article
Times cited : (28)

References (22)
  • 1
    • 0015142951 scopus 로고
    • The pathophysiology of cholera
    • Hendrix T.R. The pathophysiology of cholera. Bull. N.Y. Acad. Med. 1971, 47(10):1169-1180.
    • (1971) Bull. N.Y. Acad. Med. , vol.47 , Issue.10 , pp. 1169-1180
    • Hendrix, T.R.1
  • 2
    • 0018704517 scopus 로고
    • A mathematical model for the 1973 cholera epidemic in the European Mediterranean region
    • Capasso V., Paveri-Fontana S.L. A mathematical model for the 1973 cholera epidemic in the European Mediterranean region. Rev. Epidemiol. Sante Publ. 1979, 27:121-132.
    • (1979) Rev. Epidemiol. Sante Publ. , vol.27 , pp. 121-132
    • Capasso, V.1    Paveri-Fontana, S.L.2
  • 3
    • 2942619997 scopus 로고    scopus 로고
    • Endemic and epidemic dynamics of cholera: the role of the aquatic reservoir
    • Codeço C.T. Endemic and epidemic dynamics of cholera: the role of the aquatic reservoir. BMC Infect. Dis. 2001, 1(1).
    • (2001) BMC Infect. Dis. , vol.1 , Issue.1
    • Codeço, C.T.1
  • 4
    • 32044434020 scopus 로고    scopus 로고
    • Hyperinfectivity: a critical element in the ability of V. cholerae to cause epidemics?
    • Hartley D.M., Morris J.G., Smith D.L. Hyperinfectivity: a critical element in the ability of V. cholerae to cause epidemics?. PLoS Med. 2006, 3:63-69.
    • (2006) PLoS Med. , vol.3 , pp. 63-69
    • Hartley, D.M.1    Morris, J.G.2    Smith, D.L.3
  • 5
    • 79958212835 scopus 로고    scopus 로고
    • Stability analysis and application of a mathematical cholera model
    • Liao S., Wang J. Stability analysis and application of a mathematical cholera model. Math. Biosci. Eng. 2011, 8(3):733-752.
    • (2011) Math. Biosci. Eng. , vol.8 , Issue.3 , pp. 733-752
    • Liao, S.1    Wang, J.2
  • 6
    • 80052261829 scopus 로고    scopus 로고
    • Modelling and stability analysis for a cholera model with vaccination
    • Zhou X.Y., Cui J.A. Modelling and stability analysis for a cholera model with vaccination. Math. Method Appl. Sci. 2011, 34(14):1711-1724.
    • (2011) Math. Method Appl. Sci. , vol.34 , Issue.14 , pp. 1711-1724
    • Zhou, X.Y.1    Cui, J.A.2
  • 9
    • 80855131635 scopus 로고    scopus 로고
    • The role of immunity and seasonality in cholera epidemics
    • Sanches R.P., Ferreira C.P., Kraenkel R.A. The role of immunity and seasonality in cholera epidemics. Bull. Math. Biol. 2011, 73(12):2916-2931.
    • (2011) Bull. Math. Biol. , vol.73 , Issue.12 , pp. 2916-2931
    • Sanches, R.P.1    Ferreira, C.P.2    Kraenkel, R.A.3
  • 10
    • 0036185525 scopus 로고    scopus 로고
    • Cholera and climate: revisiting the quantitative evidence
    • Pascual M., Bouma M.J., Dobson A.P. Cholera and climate: revisiting the quantitative evidence. Microb. Infect. 2002, 4:237-245.
    • (2002) Microb. Infect. , vol.4 , pp. 237-245
    • Pascual, M.1    Bouma, M.J.2    Dobson, A.P.3
  • 11
    • 47949105508 scopus 로고    scopus 로고
    • Seasonality of cholera from 1974 to 2005: a review of global patterns
    • Emch M., Feldacker C., Islam M.S., Ali M. Seasonality of cholera from 1974 to 2005: a review of global patterns. Int. J. Health Geographics 2008, 7:31-44.
    • (2008) Int. J. Health Geographics , vol.7 , pp. 31-44
    • Emch, M.1    Feldacker, C.2    Islam, M.S.3    Ali, M.4
  • 13
    • 79957773377 scopus 로고    scopus 로고
    • Estimating the reproductive numbers for the 2008-2009 cholera outbreaks in Zimbabwe
    • Mukandavire Z., Liao S., Wang J., Gaff H., Smith D.L., Morris J.G. Estimating the reproductive numbers for the 2008-2009 cholera outbreaks in Zimbabwe. PNAS 2011, 108(21):8767-8772.
    • (2011) PNAS , vol.108 , Issue.21 , pp. 8767-8772
    • Mukandavire, Z.1    Liao, S.2    Wang, J.3    Gaff, H.4    Smith, D.L.5    Morris, J.G.6
  • 14
    • 0028277853 scopus 로고
    • Detection of non-culturable Vibrio cholerae O1 associated with a cyanobacterium from an aquatic environment in Bangladesh
    • Islam M.S., Miah M.A., Hasan M.K., Sack R.B., Albert M.J. Detection of non-culturable Vibrio cholerae O1 associated with a cyanobacterium from an aquatic environment in Bangladesh. Trans. R. Soc. Trop. Med. Hyg. 1994, 88:298-299.
    • (1994) Trans. R. Soc. Trop. Med. Hyg. , vol.88 , pp. 298-299
    • Islam, M.S.1    Miah, M.A.2    Hasan, M.K.3    Sack, R.B.4    Albert, M.J.5
  • 15
    • 47149095789 scopus 로고    scopus 로고
    • Threshold dynamics for compartmental epidemic models in periodic environments
    • Wang W.D., Zhao X.Q. Threshold dynamics for compartmental epidemic models in periodic environments. J. Dyn. Differ. Equat. 2008, 20(3):699-717.
    • (2008) J. Dyn. Differ. Equat. , vol.20 , Issue.3 , pp. 699-717
    • Wang, W.D.1    Zhao, X.Q.2
  • 16
    • 33748152440 scopus 로고    scopus 로고
    • The epidemic threshold of vector-borne diseases with seasonality
    • Bacaër N., Guernaoui S. The epidemic threshold of vector-borne diseases with seasonality. J. Math. Biol. 2006, 53:421-436.
    • (2006) J. Math. Biol. , vol.53 , pp. 421-436
    • Bacaër, N.1    Guernaoui, S.2
  • 17
    • 33750325602 scopus 로고    scopus 로고
    • A periodic epidemic model in a patchy environment
    • Zhang F., Zhao X.Q. A periodic epidemic model in a patchy environment. J. Math. Anal. Appl. 2007, 325(1):496-516.
    • (2007) J. Math. Anal. Appl. , vol.325 , Issue.1 , pp. 496-516
    • Zhang, F.1    Zhao, X.Q.2
  • 18
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • van den Driessche P., Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 2002, 180:29-48.
    • (2002) Math. Biosci. , vol.180 , pp. 29-48
    • van den Driessche, P.1    Watmough, J.2
  • 19
    • 4344644299 scopus 로고    scopus 로고
    • Dynamical Systems in Population Biology
    • Springer-Verlag, New York
    • Zhao X.Q. Dynamical Systems in Population Biology. CMS Books Math./Ouvrages Math. SMC 2003, vol. 16. Springer-Verlag, New York.
    • (2003) CMS Books Math./Ouvrages Math. SMC , vol.16
    • Zhao, X.Q.1
  • 20
    • 34248351113 scopus 로고    scopus 로고
    • Sex-structured HIV/AIDS model to analyse the effects of condom use with application to Zimbabwe
    • Mukandavire Z., Garira W. Sex-structured HIV/AIDS model to analyse the effects of condom use with application to Zimbabwe. J. Math. Biol. 2007, 54:669-699.
    • (2007) J. Math. Biol. , vol.54 , pp. 669-699
    • Mukandavire, Z.1    Garira, W.2
  • 21
    • 33947541669 scopus 로고    scopus 로고
    • Approximation of the basic reproduction number R0 for vector-borne diseases with a periodic vector population
    • Bacaër N. Approximation of the basic reproduction number R0 for vector-borne diseases with a periodic vector population. Bull. Math. Biol. 2007, 69:1067-1091.
    • (2007) Bull. Math. Biol. , vol.69 , pp. 1067-1091
    • Bacaër, N.1
  • 22
    • 0027978417 scopus 로고
    • Bifurcation analysis of periodic SEIR and SIR epidemic models
    • Kuznetsov Y.A., Piccardi C. Bifurcation analysis of periodic SEIR and SIR epidemic models. J. Math. Biol. 1994, 32:109-121.
    • (1994) J. Math. Biol. , vol.32 , pp. 109-121
    • Kuznetsov, Y.A.1    Piccardi, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.