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Volumn 105, Issue 3, 2011, Pages 190-200

Corrigendum to “Mathematical analysis of a cholera model with public health interventions” [Biosystems, 105 (3) (2011), 190–200] (S0303264711000748) (10.1016/j.biosystems.2011.04.001));Mathematical analysis of a cholera model with public health interventions

Author keywords

Educational campaign; Reproduction number; Stability; Treatment; Vaccination

Indexed keywords

ANALYTICAL METHOD; CHOLERA; DEVELOPING WORLD; DIGESTIVE SYSTEM DISORDER; DISEASE PREVALENCE; DISEASE TRANSMISSION; DISEASE TREATMENT; GRAPHICAL METHOD; MATHEMATICAL ANALYSIS; PUBLIC HEALTH; QUALITATIVE ANALYSIS; REAL TIME; SENSITIVITY ANALYSIS; VACCINATION;

EID: 79961127459     PISSN: 03032647     EISSN: 18728324     Source Type: Journal    
DOI: 10.1016/j.biosystems.2017.11.006     Document Type: Erratum
Times cited : (112)

References (39)
  • 1
    • 0001274382 scopus 로고
    • Système d'équation différentielle d'oscillation nonlinéaires
    • Barbalat I. Système d'équation différentielle d'oscillation nonlinéaires. Rev. Roum. Math. Pure. Appl. 1959, 4:267-270.
    • (1959) Rev. Roum. Math. Pure. Appl. , vol.4 , pp. 267-270
    • Barbalat, I.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 1979, 27:121-132.
    • (1979) Rev. Epidemiol. Sante , vol.27 , pp. 121-132
    • Capasso, V.1    Paveri-Fontana, S.L.2
  • 3
    • 0011356145 scopus 로고    scopus 로고
    • On the computation of R0 and its role on global stability. Mathematical approaches for emerging and reemerging infectious diseases: an introduction
    • Castillo-Chavez C., Feng Z., Huang W. On the computation of R0 and its role on global stability. Mathematical approaches for emerging and reemerging infectious diseases: an introduction. The IMA Volumes in Mathematics and its Applications 2002, 125:229-250.
    • (2002) The IMA Volumes in Mathematics and its Applications , vol.125 , pp. 229-250
    • Castillo-Chavez, C.1    Feng, Z.2    Huang, W.3
  • 4
    • 47349102730 scopus 로고    scopus 로고
    • Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
    • Chitnis N., Hyman J.M., Cushing J.M. Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Bull. Math. Biol. 2008, 70:1272-1296.
    • (2008) Bull. Math. Biol. , vol.70 , pp. 1272-1296
    • Chitnis, N.1    Hyman, J.M.2    Cushing, J.M.3
  • 5
    • 2942619997 scopus 로고    scopus 로고
    • Endemic and epidemic dynamics of cholera: the role of the aquatic reservoir
    • Codeco 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 , pp. 1
    • Codeco, C.T.1
  • 6
    • 70349580668 scopus 로고    scopus 로고
    • Seasonality and outbreaks in West Nile virus infection
    • Cruz-Pacheco G., Esteva L., Vargas C. Seasonality and outbreaks in West Nile virus infection. Bull. Math. Biol. 2009, 71(6):1378-1393.
    • (2009) Bull. Math. Biol. , vol.71 , Issue.6 , pp. 1378-1393
    • Cruz-Pacheco, G.1    Esteva, L.2    Vargas, C.3
  • 7
    • 73649145043 scopus 로고
    • On the definition and computation of the basic reproduction ratio R0 in the model of infectious disease in heterogeneous populations
    • Diekmann O., Heesterbeek J.A.P., Metz J.A.P. On the definition and computation of the basic reproduction ratio R0 in the model of infectious disease in heterogeneous populations. J. Math. Biol. 1990, 2(1):265-382.
    • (1990) J. Math. Biol. , vol.2 , Issue.1 , pp. 265-382
    • Diekmann, O.1    Heesterbeek, J.A.P.2    Metz, J.A.P.3
  • 10
    • 32044434020 scopus 로고    scopus 로고
    • Hyperinfectivity: a critical element in the ability of V. cholerae to cause epidemics?
    • Hartley D.M., Morris J.B., Smith D.L. Hyperinfectivity: a critical element in the ability of V. cholerae to cause epidemics?. Plos Med. 2006, 3(1):e7.
    • (2006) Plos Med. , vol.3 , Issue.1
    • Hartley, D.M.1    Morris, J.B.2    Smith, D.L.3
  • 11
    • 0034486891 scopus 로고    scopus 로고
    • The Mathematics of infectious diseases
    • Hethcote H.W. The Mathematics of infectious diseases. SIAM Rev. 2000, 42(4):599-653.
    • (2000) SIAM Rev. , vol.42 , Issue.4 , pp. 599-653
    • Hethcote, H.W.1
  • 13
    • 0033845033 scopus 로고    scopus 로고
    • Effects of treatment or/and vaccination on HIV transmission in homosexuals with genetic heterogeneity
    • Hsu Schmitz S.F. Effects of treatment or/and vaccination on HIV transmission in homosexuals with genetic heterogeneity. Math. Biosci. 2000, 167:1-18.
    • (2000) Math. Biosci. , vol.167 , pp. 1-18
    • Hsu Schmitz, S.F.1
  • 14
    • 85194533031 scopus 로고    scopus 로고
    • Modeling disease dynamics: cholera as a case study, (accessed 27.01.08).
    • Ionides, E.L., Bret, L., King, A.A., 2007. Modeling disease dynamics: cholera as a case study, (accessed 27.01.08). http://www.stat.lsa.umich.edu/~ionides/pubs/Chap8FinalDS.pdf.
    • (2007)
    • Ionides, E.L.1    Bret, L.2    King, A.A.3
  • 15
    • 33645232900 scopus 로고    scopus 로고
    • Modeling the role of bacteriophage in the control of cholera outbreaks
    • Jensen M.A., Faruque S.M., Mekalanos J.J., Levin B.R. Modeling the role of bacteriophage in the control of cholera outbreaks. PNAS 2006, 103(12):4652-4657.
    • (2006) PNAS , vol.103 , Issue.12 , pp. 4652-4657
    • Jensen, M.A.1    Faruque, S.M.2    Mekalanos, J.J.3    Levin, B.R.4
  • 16
    • 64449088427 scopus 로고    scopus 로고
    • Dynamics of indirectly transmitted infectious diseases with immunological threshold
    • Joh R.I., Wang H., Weiss H., Weitza J.S. Dynamics of indirectly transmitted infectious diseases with immunological threshold. Bull. Math. Biol. 2009, 71:845-862.
    • (2009) Bull. Math. Biol. , vol.71 , pp. 845-862
    • Joh, R.I.1    Wang, H.2    Weiss, H.3    Weitza, J.S.4
  • 18
    • 33746594608 scopus 로고    scopus 로고
    • Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmission
    • Korobeinikov A. Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmission. Bull. Math. Biol. 2006, 30:615-626.
    • (2006) Bull. Math. Biol. , vol.30 , pp. 615-626
    • Korobeinikov, A.1
  • 20
    • 0036780202 scopus 로고    scopus 로고
    • Effects of global climate on infectious disease: the cholera model
    • Lipp E.K., Huq A., Colwell R.R. Effects of global climate on infectious disease: the cholera model. Clin. Microbiol. Rev. 2002, 15:757-770.
    • (2002) Clin. Microbiol. Rev. , vol.15 , pp. 757-770
    • Lipp, E.K.1    Huq, A.2    Colwell, R.R.3
  • 22
    • 66249092824 scopus 로고    scopus 로고
    • Zimbabwe experiences the worst epidemic of cholera in Africa
    • Mason P.R. Zimbabwe experiences the worst epidemic of cholera in Africa. J. Infect. Dev. Countries 2009, 3:148-151.
    • (2009) J. Infect. Dev. Countries , vol.3 , pp. 148-151
    • Mason, P.R.1
  • 23
    • 73649090797 scopus 로고    scopus 로고
    • A mathematical analysis of malaria and tuberculosis co-dynamics
    • Mtisi E., Rwezaura H., Tchuenche J.M. A mathematical analysis of malaria and tuberculosis co-dynamics. Discrete Cont. Dyn. Syst. B 2009, 12(4):827-864.
    • (2009) Discrete Cont. Dyn. Syst. B , vol.12 , Issue.4 , pp. 827-864
    • Mtisi, E.1    Rwezaura, H.2    Tchuenche, J.M.3
  • 24
    • 79961125927 scopus 로고    scopus 로고
    • Mathematical analysis of a cholera model with carriers and assessing the effects of treatment
    • Nova Science Publishers, L.B. Wilson (Ed.)
    • Mukandavire Z., Mutasa F.K., Hove-Musekwa S.D., Dube S., Tchuenche J.M. Mathematical analysis of a cholera model with carriers and assessing the effects of treatment. Mathematical Biology Research Trends 2008, 1-37. Nova Science Publishers. L.B. Wilson (Ed.).
    • (2008) Mathematical Biology Research Trends , pp. 1-37
    • Mukandavire, Z.1    Mutasa, F.K.2    Hove-Musekwa, S.D.3    Dube, S.4    Tchuenche, J.M.5
  • 26
    • 45149130017 scopus 로고    scopus 로고
    • Predicting endemic cholera: the role of climate variability and disease dynamics
    • Pascual M., Chaves L.F., Cash B., Rodo X., Yunus M.D. Predicting endemic cholera: the role of climate variability and disease dynamics. Climate Res. 2008, 36:131-140.
    • (2008) Climate Res. , vol.36 , pp. 131-140
    • Pascual, M.1    Chaves, L.F.2    Cash, B.3    Rodo, X.4    Yunus, M.D.5
  • 27
    • 0038180862 scopus 로고    scopus 로고
    • Molecular Epidemiology of Vibrio cholerae 0139 in China: polymorphism of Ribotypes and CTX Elements
    • Qu M., Xu J., Ding Y., Wang R., Liu P., Kan B., Qi G., Liu Y., Gao S. Molecular Epidemiology of Vibrio cholerae 0139 in China: polymorphism of Ribotypes and CTX Elements. J. Clin. Microbiol. 2003, 41(6):2306-2310.
    • (2003) J. Clin. Microbiol. , vol.41 , Issue.6 , pp. 2306-2310
    • Qu, M.1    Xu, J.2    Ding, Y.3    Wang, R.4    Liu, P.5    Kan, B.6    Qi, G.7    Liu, Y.8    Gao, S.9
  • 30
    • 0003275058 scopus 로고    scopus 로고
    • Cholera: overview of epidemiologic, therapeutic, and preventive issues learned from recent epidemics
    • Sea C., Gotuzzo E. Cholera: overview of epidemiologic, therapeutic, and preventive issues learned from recent epidemics. Int. J. Dis. 1996, 1:37-46.
    • (1996) Int. J. Dis. , vol.1 , pp. 37-46
    • Sea, C.1    Gotuzzo, E.2
  • 31
    • 0028150631 scopus 로고
    • Protective efficacy of oral whole-cell/recombinant-B-subunit cholera vaccine in Peruvian military recruits
    • Sanchez J.L., Vasquez B., Begue R.E. Protective efficacy of oral whole-cell/recombinant-B-subunit cholera vaccine in Peruvian military recruits. Lancet 1994, 344:1273-1275.
    • (1994) Lancet , vol.344 , pp. 1273-1275
    • Sanchez, J.L.1    Vasquez, B.2    Begue, R.E.3
  • 32
  • 34
    • 33646841535 scopus 로고    scopus 로고
    • Deterministic modeling of infectious diseases: theory and methods
    • Trottier H., Philippe P. Deterministic modeling of infectious diseases: theory and methods. Internet J. Infect. Dis. 2001, 1(2).
    • (2001) Internet J. Infect. Dis. , vol.1 , Issue.2
    • Trottier, H.1    Philippe, P.2
  • 35
    • 33646841535 scopus 로고    scopus 로고
    • Deterministic modeling of infectious diseases: applications to measles and other similar infections
    • Trottier H., Philippe P. Deterministic modeling of infectious diseases: applications to measles and other similar infections. Internet J. Infect. Dis. 2002, 2(1).
    • (2002) Internet J. Infect. Dis. , vol.2 , Issue.1
    • Trottier, H.1    Philippe, P.2
  • 36
    • 79961128354 scopus 로고    scopus 로고
    • Deterministic modeling of infectious diseases: measles cycles and the role of births and vaccination
    • Trottier H., Philippe P. Deterministic modeling of infectious diseases: measles cycles and the role of births and vaccination. Internet J. Infect. Dis. 2003, 2(2).
    • (2003) Internet J. Infect. Dis. , vol.2 , Issue.2
    • Trottier, H.1    Philippe, P.2
  • 37
    • 85194567620 scopus 로고    scopus 로고
    • UNICEF, (accessed 25.01.08).
    • UNICEF, (accessed 25.01.08). http://www.unicef.org/media/media_38146.html.
  • 38
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for the compartmental models of disease transmission
    • van den Driesche P., Watmough J. Reproduction numbers and sub-threshold endemic equilibria for the compartmental models of disease transmission. Math. Biosci. 2002, 180:29-48.
    • (2002) Math. Biosci. , vol.180 , pp. 29-48
    • van den Driesche, P.1    Watmough, J.2
  • 39
    • 85194549096 scopus 로고    scopus 로고
    • WHO, Cholera country profiles, (accessed 27.01.08).
    • WHO, Cholera country profiles, (accessed 27.01.08). http://www.who.int/cholera/countries/en/.


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