메뉴 건너뛰기




Volumn 279, Issue 1, 2011, Pages 120-131

A dynamic model for tuberculosis transmission and optimal treatment strategies in South Korea

Author keywords

Epidemic model; Infectious disease; Mathematical model; Optimal control theory; Tuberculosis

Indexed keywords

COMPUTER SIMULATION; DISEASE INCIDENCE; DISEASE SPREAD; DISEASE TRANSMISSION; DISEASE TREATMENT; EPIDEMIOLOGY; INFECTIOUS DISEASE; INFECTIVITY; LEAST SQUARES METHOD; NUMERICAL MODEL; OECD; PARAMETERIZATION; STRATEGIC APPROACH; TIME DEPENDENT BEHAVIOR; TUBERCULOSIS;

EID: 79953764730     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2011.03.009     Document Type: Article
Times cited : (45)

References (48)
  • 1
    • 77952856693 scopus 로고    scopus 로고
    • Optimal chemoprophylaxis and treatment control strategies of a tuberculosis transmission model
    • Agusto F.B. Optimal chemoprophylaxis and treatment control strategies of a tuberculosis transmission model. World J. Model. Simul. 2009, 5(3):163-173.
    • (2009) World J. Model. Simul. , vol.5 , Issue.3 , pp. 163-173
    • Agusto, F.B.1
  • 2
    • 67650474828 scopus 로고    scopus 로고
    • Mathematical modeling of tuberculosis epidemics
    • Aparicio J.P., Castillo-Chavez C. Mathematical modeling of tuberculosis epidemics. Math. Biosci. Eng. 2009, 6(2):209-237.
    • (2009) Math. Biosci. Eng. , vol.6 , Issue.2 , pp. 209-237
    • Aparicio, J.P.1    Castillo-Chavez, C.2
  • 3
    • 79955521406 scopus 로고    scopus 로고
    • Preventive treatment of tuberculosis through contact tracing
    • Aparicio J.P., Hernandez J.C. Preventive treatment of tuberculosis through contact tracing. Contemp. Math. 2006, 410:17-30.
    • (2006) Contemp. Math. , vol.410 , pp. 17-30
    • Aparicio, J.P.1    Hernandez, J.C.2
  • 4
    • 0034619254 scopus 로고    scopus 로고
    • Transmission and dynamics of tuberculosis on generalized households
    • Aparicio J.P., Capurro A.F., Castillo-Chavez C. Transmission and dynamics of tuberculosis on generalized households. J. Theor. Biol. 2000, 206:327-341.
    • (2000) J. Theor. Biol. , vol.206 , pp. 327-341
    • Aparicio, J.P.1    Capurro, A.F.2    Castillo-Chavez, C.3
  • 6
    • 0036343338 scopus 로고    scopus 로고
    • Markers of disease evolution: the case of tuberculosis
    • Aparicio J.P., Capurro A.F., Castillo-Chavez C. Markers of disease evolution: the case of tuberculosis. J. Theor. Biol. 2002, 212(2):227-237.
    • (2002) J. Theor. Biol. , vol.212 , Issue.2 , pp. 227-237
    • Aparicio, J.P.1    Capurro, A.F.2    Castillo-Chavez, C.3
  • 10
  • 11
    • 0031154662 scopus 로고    scopus 로고
    • To treat or not to treat: the case of tuberculosis
    • Castillo-Chavez C., Feng Z. To treat or not to treat: the case of tuberculosis. J. Math. Biol. 1997, 35:629-659.
    • (1997) J. Math. Biol. , vol.35 , pp. 629-659
    • Castillo-Chavez, C.1    Feng, Z.2
  • 12
    • 33748307685 scopus 로고    scopus 로고
    • Dynamical models of tuberculosis and their applications
    • Castillo-Chavez C., Song B. Dynamical models of tuberculosis and their applications. Math. BioSci. Eng. 2004, 1(2):361-404.
    • (2004) Math. BioSci. Eng. , vol.1 , Issue.2 , pp. 361-404
    • Castillo-Chavez, C.1    Song, B.2
  • 14
    • 0001598650 scopus 로고
    • An economic interpretation of optimal control theory
    • Dorfman R. An economic interpretation of optimal control theory. Am. Econ. Rev. 1969, 59(5):817-831.
    • (1969) Am. Econ. Rev. , vol.59 , Issue.5 , pp. 817-831
    • Dorfman, R.1
  • 15
    • 0033581124 scopus 로고    scopus 로고
    • Global burden of tuberculosis estimated incidence. Prevalence and mortality by country
    • Dye C., Scheele S., Dolin P., Pathania V., Raviglione M.C. Global burden of tuberculosis estimated incidence. Prevalence and mortality by country. J. Am. Med. Assoc. 1999, 282:677-686.
    • (1999) J. Am. Med. Assoc. , vol.282 , pp. 677-686
    • Dye, C.1    Scheele, S.2    Dolin, P.3    Pathania, V.4    Raviglione, M.C.5
  • 16
    • 20144370344 scopus 로고    scopus 로고
    • Evolution of tuberculosis control and prospects for reducing tuberculosis incidence. Prevalence and deaths globally
    • Dye C., Watt J., Bleed D.M., Hebran H., Raviglione M.C. Evolution of tuberculosis control and prospects for reducing tuberculosis incidence. Prevalence and deaths globally. J. Am. Med. Assoc. 2005, 293:2767-2775.
    • (2005) J. Am. Med. Assoc. , vol.293 , pp. 2767-2775
    • Dye, C.1    Watt, J.2    Bleed, D.M.3    Hebran, H.4    Raviglione, M.C.5
  • 17
  • 18
    • 0005282199 scopus 로고    scopus 로고
    • Optimizing chemotherapy in an HIV model. Electron. J. Differ. Eq..
    • Fister, K.R., Lenhart, S., McNally, J.S., 1998. Optimizing chemotherapy in an HIV model. Electron. J. Differ. Eq., 1-12.
    • (1998) , pp. 1-12
    • Fister, K.R.1    Lenhart, S.2    McNally, J.S.3
  • 20
    • 65549154257 scopus 로고    scopus 로고
    • Optimal control of tuberculosis with exogenous reinfection
    • Hattaf K., Rachik M., Saadi S., Tabit Y., Yousfi N. Optimal control of tuberculosis with exogenous reinfection. Appl. Math. Sci. 2009, 3(5):231-240.
    • (2009) Appl. Math. Sci. , vol.3 , Issue.5 , pp. 231-240
    • Hattaf, K.1    Rachik, M.2    Saadi, S.3    Tabit, Y.4    Yousfi, N.5
  • 21
    • 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. Methods 2003, 23:199-213.
    • (2003) Optim. Control Appl. Methods , vol.23 , pp. 199-213
    • Joshi, H.R.1
  • 22
    • 0042762770 scopus 로고    scopus 로고
    • Optimal control of treatments in a two-strain tuberculosis model
    • Jung E., Lenhart S., Feng Z. Optimal control of treatments in a two-strain tuberculosis model. Discret. Contin. Dyn. Syst. B 2002, 2(4):473-482.
    • (2002) Discret. Contin. Dyn. Syst. B , vol.2 , Issue.4 , pp. 473-482
    • Jung, E.1    Lenhart, S.2    Feng, Z.3
  • 23
    • 0037528108 scopus 로고    scopus 로고
    • Optimal control of transient behaviour in coupled solid state lasers
    • Jung E., Lenhart S., Protoppopescu V., Braiman Y. Optimal control of transient behaviour in coupled solid state lasers. Phys. Rev. E 2003, 67:046222.
    • (2003) Phys. Rev. E , vol.67 , pp. 046222
    • Jung, E.1    Lenhart, S.2    Protoppopescu, V.3    Braiman, Y.4
  • 24
    • 25144461522 scopus 로고    scopus 로고
    • Control theory applied to a difference equation model for cardiopulmonary resuscitation
    • Jung E., Lenhart S., Protoppopescu V., Babbs C.F. Control theory applied to a difference equation model for cardiopulmonary resuscitation. Math. Model Methods Appl. Sci. 2005, 15(10):1519-1531.
    • (2005) Math. Model Methods Appl. Sci. , vol.15 , Issue.10 , pp. 1519-1531
    • Jung, E.1    Lenhart, S.2    Protoppopescu, V.3    Babbs, C.F.4
  • 25
    • 33745447102 scopus 로고    scopus 로고
    • Optimal strategy for cardiopulmonary resuscitation with continuous chest compression
    • Jung E., Lenhart S., Protopopescu V., Babbs C.F. Optimal strategy for cardiopulmonary resuscitation with continuous chest compression. Acad. Emerg. Med. 2006, 13(7):715-721.
    • (2006) Acad. Emerg. Med. , vol.13 , Issue.7 , pp. 715-721
    • Jung, E.1    Lenhart, S.2    Protopopescu, V.3    Babbs, C.F.4
  • 26
    • 79955524615 scopus 로고    scopus 로고
    • Optimal control applied to a thoraco-abdominal CPR model
    • Jung E., Lenhart S., Protopopescu V., Babbs C.F. Optimal control applied to a thoraco-abdominal CPR model. Math. Med. Biol. 2008, 206(2):876-884.
    • (2008) Math. Med. Biol. , vol.206 , Issue.2 , pp. 876-884
    • Jung, E.1    Lenhart, S.2    Protopopescu, V.3    Babbs, C.F.4
  • 27
    • 68949184844 scopus 로고    scopus 로고
    • Optimal control strategy for prevention of avian influenza pandemic
    • Jung E., Iwami S., Rakeuchi Y., Jo T.C. Optimal control strategy for prevention of avian influenza pandemic. J. Theor. Biol. 2009, 260:220-229.
    • (2009) J. Theor. Biol. , vol.260 , pp. 220-229
    • Jung, E.1    Iwami, S.2    Rakeuchi, Y.3    Jo, T.C.4
  • 29
    • 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
    • 76149138053 scopus 로고    scopus 로고
    • Testing for tuberculosis
    • Konstantinos A. Testing for tuberculosis. Aust. Prescr. 2010, 33(1):12-18.
    • (2010) Aust. Prescr. , vol.33 , Issue.1 , pp. 12-18
    • Konstantinos, A.1
  • 31
    • 79955523173 scopus 로고    scopus 로고
    • Korea Center for Disease Control and Preventions, 2009. Annual Report on the Notified Tuberculosis Patients in Korea 〈〉.
    • Korea Center for Disease Control and Preventions, 2009. Annual Report on the Notified Tuberculosis Patients in Korea 2009 〈〉. http://www.cdc.go.kr/kcdchome/jsp/diseasedic/dic/DISEDIC0001Detail.jsp?menuid=510110&contentid=7716&boardid=null&appid=kcdcdz01&pageNum=null&sub=null&tabinx=1&q_had01=A&q_had02=2010&idxType=0&idxNum=1.
    • (2009)
  • 32
    • 79955523002 scopus 로고    scopus 로고
    • Korean Statistical Information Service 〈〉.
    • Korean Statistical Information Service 〈〉. http://www.kosis.kr/abroad/abroad_01List.jsp.
  • 33
    • 79955522872 scopus 로고    scopus 로고
    • Optimal Control Applied to Biological Models. Chapman & Hall, CRC.
    • Lenhart, S., Workman, J.Y., 2007. Optimal Control Applied to Biological Models. Chapman & Hall, CRC.
    • (2007)
    • Lenhart, S.1    Workman, J.Y.2
  • 35
    • 79955523202 scopus 로고    scopus 로고
    • Ministry of Health and Welfare, Korea Natural Tuberculosis Association, 1995. A Report on the Seventh Tuberculosis Prevalence Survey in Korea
    • Ministry of Health and Welfare, Korea Natural Tuberculosis Association, 1995. A Report on the Seventh Tuberculosis Prevalence Survey in Korea, p. 9.
  • 36
    • 79955523027 scopus 로고    scopus 로고
    • Ministry of Health and Welfare,. Yearbook of Health and Welfare Statistics 49.
    • Ministry of Health and Welfare, 2003. Yearbook of Health and Welfare Statistics 49, p. 7.
    • (2003) , pp. 7
  • 37
    • 79955523525 scopus 로고    scopus 로고
    • National Library of Medicine, Visual Culture and Public Health Posters 〈〉.
    • National Library of Medicine, Visual Culture and Public Health Posters 〈〉. http://www.nlm.nih.gov/exhibition/visualculture/tuberculosis.html.
  • 39
    • 0009981938 scopus 로고    scopus 로고
    • Protein deficiency abets tuberculosis
    • Raloff J. Protein deficiency abets tuberculosis. Science 1996, 150:374.
    • (1996) Science , vol.150 , pp. 374
    • Raloff, J.1
  • 40
    • 79955524248 scopus 로고    scopus 로고
    • Diagnosis and treatment of latent tuberculosis infection in Korea
    • Shim T.S., Koh W.J., Tim J.J., Lew W.J. Diagnosis and treatment of latent tuberculosis infection in Korea. Med. Postgraduates 2008, 36(5,215):315-322.
    • (2008) Med. Postgraduates , vol.36 , Issue.5-215 , pp. 315-322
    • Shim, T.S.1    Koh, W.J.2    Tim, J.J.3    Lew, W.J.4
  • 41
    • 0036846551 scopus 로고    scopus 로고
    • Tuberculosis models with fast and slow dynamics: the role of close and casual contacts
    • Song B., Castillo-Chavez C., Aparicio J.P. Tuberculosis models with fast and slow dynamics: the role of close and casual contacts. Math. Biosci. 2002, 180:187-205.
    • (2002) Math. Biosci. , vol.180 , pp. 187-205
    • Song, B.1    Castillo-Chavez, C.2    Aparicio, J.P.3
  • 43
    • 79955522962 scopus 로고
    • Epidemiology of Tuberculosis. Royal Netherland TB Association Selected Papers 24.
    • Styblo, K., 1991. Epidemiology of Tuberculosis. Royal Netherland TB Association Selected Papers 24.
    • (1991)
    • Styblo, K.1
  • 44
    • 29844435501 scopus 로고    scopus 로고
    • Infinite-horizon optimal advertising in a market for durable goods
    • Weber T.A. Infinite-horizon optimal advertising in a market for durable goods. Optim. Control Appl. Methods 2005, 26(6):307-336.
    • (2005) Optim. Control Appl. Methods , vol.26 , Issue.6 , pp. 307-336
    • Weber, T.A.1
  • 45
    • 79955524873 scopus 로고    scopus 로고
    • WHO,a. Update tuberculosis facts 〈〉.
    • WHO, 2009a. Update tuberculosis facts 〈〉. http://www.who.int/tb/publications/2009/tbfactsheet_2009update_one_page.pdf
    • (2009)
  • 46
    • 79955521640 scopus 로고    scopus 로고
    • WHO,b. Global tuberculosis control. A short update to the 2009 report 〈〉.
    • WHO, 2009b. Global tuberculosis control. A short update to the 2009 report 〈〉. http://www.who.int/tb/publications/global_report/2009/update/tbu_9.pdf.
    • (2009)
  • 47
    • 79955524987 scopus 로고    scopus 로고
    • WHO, 2010. Global Tuberculosis Control Report, Republic of Korea 〈〉.
    • WHO, 2010. Global Tuberculosis Control Report 2010, Republic of Korea 〈〉. http://www.who.int/tb/country/en/index.html.
    • (2010)
  • 48
    • 39449089740 scopus 로고    scopus 로고
    • Optimal quarantine and isolation strategies in epidemic control
    • Yan X., Zou Y., Li J. Optimal quarantine and isolation strategies in epidemic control. World J. Model. Simul. 2007, 3(3):202-211.
    • (2007) World J. Model. Simul. , vol.3 , Issue.3 , pp. 202-211
    • Yan, X.1    Zou, Y.2    Li, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.