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Volumn 113, Issue 3, 2013, Pages 155-164

Optimal isolation control strategies and cost-effectiveness analysis of a two-strain avian influenza model

Author keywords

Avian influenza; Incremental cost effectiveness ratio; Infection averted ratio; Isolation; Mutation; Optimal control

Indexed keywords

AVIAN INFLUENZA; COST-BENEFIT ANALYSIS; DISEASE CONTROL; EPIDEMIC; MUTATION; OPTIMIZATION; VACCINE; VIRUS;

EID: 84880989327     PISSN: 03032647     EISSN: 18728324     Source Type: Journal    
DOI: 10.1016/j.biosystems.2013.06.004     Document Type: Article
Times cited : (95)

References (45)
  • 1
    • 84876839868 scopus 로고    scopus 로고
    • Quantitative analysis for a model for the transmission dynamics of low and highly pathogenic avian influenza
    • Agusto F.B., Gumel A.B. Quantitative analysis for a model for the transmission dynamics of low and highly pathogenic avian influenza. J. Math. Biosci. 2013, 243(2):147-162.
    • (2013) J. Math. Biosci. , vol.243 , Issue.2 , pp. 147-162
    • Agusto, F.B.1    Gumel, A.B.2
  • 2
    • 84881013165 scopus 로고    scopus 로고
    • Optimal control of the spread of malaria super-infectivity
    • (Special issue on Infectious Disease Modeling, in press)
    • Agusto F.B., Lenhart S. Optimal control of the spread of malaria super-infectivity. J. Biol. Syst. 2013, (Special issue on Infectious Disease Modeling, in press).
    • (2013) J. Biol. Syst.
    • Agusto, F.B.1    Lenhart, S.2
  • 3
    • 84863493891 scopus 로고    scopus 로고
    • Application of optimal control to the epidemiology of malaria disease
    • Agusto F.B., Marcus N., Okosun K.O. Application of optimal control to the epidemiology of malaria disease. Electron. J. Differential Equations 2012, 2012(81):1-22.
    • (2012) Electron. J. Differential Equations , vol.2012 , Issue.81 , pp. 1-22
    • Agusto, F.B.1    Marcus, N.2    Okosun, K.O.3
  • 4
    • 76549107130 scopus 로고    scopus 로고
    • Theoretical assessment of avian influenza vaccine
    • Agusto F.B., Gumel A.B. Theoretical assessment of avian influenza vaccine. DCDS Ser. B 2010, 13(1):1-25. 10.3934/dcdsb.2009.13.1.
    • (2010) DCDS Ser. B , vol.13 , Issue.1 , pp. 1-25
    • Agusto, F.B.1    Gumel, A.B.2
  • 5
    • 79960342830 scopus 로고    scopus 로고
    • Avian influenza optimal seasonal vaccination therapy
    • Agusto F.B., Ogunye O.R. Avian influenza optimal seasonal vaccination therapy. AZIAM J. 2010, 51:394-405.
    • (2010) AZIAM J. , vol.51 , pp. 394-405
    • Agusto, F.B.1    Ogunye, O.R.2
  • 6
    • 77952856693 scopus 로고    scopus 로고
    • Optimal chemoprophylaxis control strategies of a tuberculosis transmission model
    • Agusto F.B. Optimal chemoprophylaxis control strategies of a tuberculosis transmission model. World J. Model. Simulation 2009, 5(3):163-173.
    • (2009) World J. Model. Simulation , vol.5 , Issue.3 , pp. 163-173
    • Agusto, F.B.1
  • 7
    • 25444432780 scopus 로고    scopus 로고
    • Avian influenza A (H5N1) infection in humans?
    • Beigel J.H., et al. Avian influenza A (H5N1) infection in humans?. N. Engl. J. Med. 2005, 353(13):1374-1385.
    • (2005) N. Engl. J. Med. , vol.353 , Issue.13 , pp. 1374-1385
    • Beigel, J.H.1
  • 8
    • 21444451814 scopus 로고    scopus 로고
    • A mathematical model for assessing control strategies against West Nile virus
    • Bowman C., Gumel A.B., van den Driessche P., Wu J., Zhu H. A mathematical model for assessing control strategies against West Nile virus. Bull. Math. Biol. 2005, 67:1107-1133.
    • (2005) Bull. Math. Biol. , vol.67 , pp. 1107-1133
    • Bowman, C.1    Gumel, A.B.2    van den Driessche, P.3    Wu, J.4    Zhu, H.5
  • 9
    • 33644785834 scopus 로고    scopus 로고
    • Disease surveillance needs a revolution
    • Butler D. Disease surveillance needs a revolution. Nature 2006, 440(7080):6-7.
    • (2006) Nature , vol.440 , Issue.7080 , pp. 6-7
    • Butler, D.1
  • 10
    • 0033151653 scopus 로고    scopus 로고
    • Incremental cost-effectiveness analysis: the optimal strategy depends on the strategy set
    • Cantor S.B., Ganiats T.G. Incremental cost-effectiveness analysis: the optimal strategy depends on the strategy set. Clin. Epidemiol. 1999, 52(6):517-522.
    • (1999) Clin. Epidemiol. , vol.52 , Issue.6 , pp. 517-522
    • Cantor, S.B.1    Ganiats, T.G.2
  • 11
    • 3042696403 scopus 로고    scopus 로고
    • Model parameters and outbreak control for SARS
    • Chowell G., et al. Model parameters and outbreak control for SARS. Emerg. Infect. Dis. 2004, 10(7):1258-1263.
    • (2004) Emerg. Infect. Dis. , vol.10 , Issue.7 , pp. 1258-1263
    • Chowell, G.1
  • 12
    • 0042168643 scopus 로고    scopus 로고
    • SARS outbreaks in Ontario, Hong Kong and Singapore: the role of diagnosis and isolation as a control mechanism
    • Chowell G., Fenimore P.W., Castillo-Garsow M.A., Castillo-Chavez C. SARS outbreaks in Ontario, Hong Kong and Singapore: the role of diagnosis and isolation as a control mechanism. J. Theor. Biol. 2003, 224:1-8.
    • (2003) J. Theor. Biol. , vol.224 , pp. 1-8
    • Chowell, G.1    Fenimore, P.W.2    Castillo-Garsow, M.A.3    Castillo-Chavez, C.4
  • 13
    • 23844436610 scopus 로고    scopus 로고
    • Strategies for containing an emerging influenza pandemic in Southeast Asia
    • Ferguson N.M., et al. Strategies for containing an emerging influenza pandemic in Southeast Asia. Nature 2005, 437(7056):209-214.
    • (2005) Nature , vol.437 , Issue.7056 , pp. 209-214
    • Ferguson, N.M.1
  • 14
    • 0029986831 scopus 로고    scopus 로고
    • Cost-effectiveness of the transdermal nicotine patch as an adjunct to physicians' smoking cessation counseling
    • Fiscella K., Franks P. Cost-effectiveness of the transdermal nicotine patch as an adjunct to physicians' smoking cessation counseling. JAMA 1996, 276:1247-1251.
    • (1996) JAMA , vol.276 , pp. 1247-1251
    • Fiscella, K.1    Franks, P.2
  • 17
    • 23944479368 scopus 로고    scopus 로고
    • Potential impact of antiviral drug use during influenza pandemic
    • Gani R., et al. Potential impact of antiviral drug use during influenza pandemic. Emerg. Infect. Dis. 2005, 11(9):1355-1362.
    • (2005) Emerg. Infect. Dis. , vol.11 , Issue.9 , pp. 1355-1362
    • Gani, R.1
  • 18
    • 33645802797 scopus 로고    scopus 로고
    • Mitigation strategies for pandemic influenza in the United States
    • Germann T.C., et al. Mitigation strategies for pandemic influenza in the United States. Proc. Natl. Acad. Sci. U.S.A. 2006, 103(15):5935-5940.
    • (2006) Proc. Natl. Acad. Sci. U.S.A. , vol.103 , Issue.15 , pp. 5935-5940
    • Germann, T.C.1
  • 19
    • 44449158935 scopus 로고    scopus 로고
    • Mathematical assessment of Canada's pandemic influenza preparedness plan
    • Gumel A.B., Nuno M., Chowell G. Mathematical assessment of Canada's pandemic influenza preparedness plan. Can. J. Infect. Dis. Med. Microbiol. 2008, 19:185-192.
    • (2008) Can. J. Infect. Dis. Med. Microbiol. , vol.19 , pp. 185-192
    • Gumel, A.B.1    Nuno, M.2    Chowell, G.3
  • 20
    • 16644369677 scopus 로고    scopus 로고
    • Modelling strategies for controlling SARS outbreaks
    • Gumel A.B., et al. Modelling strategies for controlling SARS outbreaks. Proc. R. Soc. Lond. B 2004, 2223-2232.
    • (2004) Proc. R. Soc. Lond. B , pp. 2223-2232
    • Gumel, A.B.1
  • 21
    • 55849087998 scopus 로고    scopus 로고
    • Global dynamics of a two-strain avian influenza model?
    • Gumel A.B. Global dynamics of a two-strain avian influenza model?. Int. J. Comput. Math. 2009, 86(1):85-108.
    • (2009) Int. J. Comput. Math. , vol.86 , Issue.1 , pp. 85-108
    • Gumel, A.B.1
  • 22
    • 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
  • 23
    • 34147148647 scopus 로고    scopus 로고
    • Avian-human influenza epidemic model
    • Iwami S., Takeuchi Y., Liu X. Avian-human influenza epidemic model. Math. Biosci. 2007, 207(1):1-25.
    • (2007) Math. Biosci. , vol.207 , Issue.1 , pp. 1-25
    • Iwami, S.1    Takeuchi, Y.2    Liu, X.3
  • 24
    • 68949184844 scopus 로고    scopus 로고
    • Optimal control strategy for prevention of Avian-human influenza pandemic
    • Jung E., Iwami S., Takeuchi Y., Jo T. Optimal control strategy for prevention of Avian-human influenza pandemic. J. Theor. Biol. 2009, 260:220-229.
    • (2009) J. Theor. Biol. , vol.260 , pp. 220-229
    • Jung, E.1    Iwami, S.2    Takeuchi, Y.3    Jo, T.4
  • 25
    • 0036631015 scopus 로고    scopus 로고
    • Optimal control of an HIV immunology model
    • Joshi H.R. Optimal control of an HIV immunology model. Optim. Control Appl. Math. 2002, 23:199-213.
    • (2002) Optim. Control Appl. Math. , vol.23 , pp. 199-213
    • Joshi, H.R.1
  • 27
    • 78650375493 scopus 로고    scopus 로고
    • Optimal control applied to native-invasive population dynamics
    • Kern D., Lenhart S., Miller R., Yong J. Optimal control applied to native-invasive population dynamics. J. Biol. Dyn. 2007, 1(4):413-426. 10.1080/17513750701605556.
    • (2007) J. Biol. Dyn. , vol.1 , Issue.4 , pp. 413-426
    • Kern, D.1    Lenhart, S.2    Miller, R.3    Yong, J.4
  • 28
    • 0031204179 scopus 로고    scopus 로고
    • Optimal control of the chemotherapy of HIV
    • Kirschner D., Lenhart S., Serbin S. Optimal control of the chemotherapy of HIV. J. Math. Biol. 1997, 35:775-792.
    • (1997) J. Math. Biol. , vol.35 , pp. 775-792
    • Kirschner, D.1    Lenhart, S.2    Serbin, S.3
  • 30
    • 1642462098 scopus 로고    scopus 로고
    • Containing the pandemic influenza with antiviral agents
    • Longini I.M., et al. Containing the pandemic influenza with antiviral agents. Am. J. Epidemiol. 2004, 159(7):623-633.
    • (2004) Am. J. Epidemiol. , vol.159 , Issue.7 , pp. 623-633
    • Longini, I.M.1
  • 31
    • 13844275317 scopus 로고    scopus 로고
    • Strategy for distribution of influenza vaccine to high-risk groups and children
    • Longini I.M., Halloran M.E. Strategy for distribution of influenza vaccine to high-risk groups and children. Am. J. Epidemiol. 2005, 161(4):303-306.
    • (2005) Am. J. Epidemiol. , vol.161 , Issue.4 , pp. 303-306
    • Longini, I.M.1    Halloran, M.E.2
  • 33
    • 33748970030 scopus 로고    scopus 로고
    • Key strategies for reducing spread of avian influenza among commercial poultry holdings: lessons for transmission to humans
    • Menach A.L., Vergu E., Grais R.F., Smith D.L., Flahault A. Key strategies for reducing spread of avian influenza among commercial poultry holdings: lessons for transmission to humans. Proc. R. Soc. Lond. B 2006, 273:2467-2475.
    • (2006) Proc. R. Soc. Lond. B , vol.273 , pp. 2467-2475
    • Menach, A.L.1    Vergu, E.2    Grais, R.F.3    Smith, D.L.4    Flahault, A.5
  • 34
    • 11144334667 scopus 로고    scopus 로고
    • Transmissibility of 1918 pandemic influenza
    • Mills C.E., Robins J.M., Lipsitch M. Transmissibility of 1918 pandemic influenza. Nature 2004, 432(7019):904-906.
    • (2004) Nature , vol.432 , Issue.7019 , pp. 904-906
    • Mills, C.E.1    Robins, J.M.2    Lipsitch, M.3
  • 35
    • 34249797897 scopus 로고    scopus 로고
    • Assessing the role of basic control measures, antivirals and vaccine in curtailing pandemic influenza: scenarios for the US, UK and the Netherlands
    • Nuño M., Chowell G., Gumel A.B. Assessing the role of basic control measures, antivirals and vaccine in curtailing pandemic influenza: scenarios for the US, UK and the Netherlands. J. R. Soc. Interface. 2007, 4:505-521.
    • (2007) J. R. Soc. Interface. , vol.4 , pp. 505-521
    • Nuño, M.1    Chowell, G.2    Gumel, A.B.3
  • 37
    • 84872670823 scopus 로고    scopus 로고
    • Optimal control strategies and cost-effectiveness analysis of a malaria model
    • Okosun K.O., Rachid O., Marcus N. Optimal control strategies and cost-effectiveness analysis of a malaria model. Biosystems 2013, 111(2):83-101.
    • (2013) Biosystems , vol.111 , Issue.2 , pp. 83-101
    • Okosun, K.O.1    Rachid, O.2    Marcus, N.3
  • 39
    • 34547382371 scopus 로고    scopus 로고
    • Mathematical study of the impact of quarantine, isolation and vaccination in curtailing an epidemic
    • Podder C.N., Gumel A.B., Bowman C.S., Mcleod R.G. Mathematical study of the impact of quarantine, isolation and vaccination in curtailing an epidemic. J. Biol. Syst. 2007, 15:2:185-202.
    • (2007) J. Biol. Syst. , pp. 185-202
    • Podder, C.N.1    Gumel, A.B.2    Bowman, C.S.3    Mcleod, R.G.4
  • 41
    • 0022394032 scopus 로고
    • A mathematical model for the global spread of influenza
    • Rvachev L.A., Longini I.M. A mathematical model for the global spread of influenza. Math. Biosci. 1985, 75:3-22.
    • (1985) Math. Biosci. , vol.75 , pp. 3-22
    • Rvachev, L.A.1    Longini, I.M.2
  • 42
    • 0038077351 scopus 로고    scopus 로고
    • Pandemic influenza and healthcare demand in the Netherlands. Scenario analysis
    • van Genugten M.L., Heijnen M.L., Jager J.C. Pandemic influenza and healthcare demand in the Netherlands. Scenario analysis. Emerg. Infect. Dis. 2003, 9(5):531-538.
    • (2003) Emerg. Infect. Dis. , vol.9 , Issue.5 , pp. 531-538
    • van Genugten, M.L.1    Heijnen, M.L.2    Jager, J.C.3
  • 44
    • 39449089740 scopus 로고    scopus 로고
    • Optimal quarantine and isolation strategies in epidemics control
    • Yan X., Zou Y., Li J. Optimal quarantine and isolation strategies in epidemics control. World J. Model. Simulation 2007, 33:202-211.
    • (2007) World J. Model. Simulation , vol.33 , pp. 202-211
    • Yan, X.1    Zou, Y.2    Li, J.3
  • 45
    • 35348933704 scopus 로고    scopus 로고
    • Optimal and sub-optimal quarantine and isolation control in SARS epidemics
    • Yan X., Zou Y. Optimal and sub-optimal quarantine and isolation control in SARS epidemics. Math. Comput. Model. 2008, 47:235-2453.
    • (2008) Math. Comput. Model. , vol.47 , pp. 235-2453
    • Yan, X.1    Zou, Y.2


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