메뉴 건너뛰기




Volumn 252, Issue 1, 2008, Pages 155-165

Backward bifurcations and multiple equilibria in epidemic models with structured immunity

Author keywords

Backward bifurcation; Epidemiology; Immunity; Immuno epidemiology; Measles

Indexed keywords

NEUTRALIZING ANTIBODY;

EID: 41949112171     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2008.01.014     Document Type: Article
Times cited : (52)

References (26)
  • 1
    • 35848969753 scopus 로고    scopus 로고
    • Duration of humoral immunity to common viral and vaccine antigens
    • Amanna I.J., Carlson N.E., and Slifka M.K. Duration of humoral immunity to common viral and vaccine antigens. N. Engl. J. Med. 357 19 (2007) 1903-1915
    • (2007) N. Engl. J. Med. , vol.357 , Issue.19 , pp. 1903-1915
    • Amanna, I.J.1    Carlson, N.E.2    Slifka, M.K.3
  • 3
    • 1042298863 scopus 로고    scopus 로고
    • Global results for an epidemic model with vaccination that exhibits backward bifurcations
    • Arino J., McCluskey C.C., and van den Driessche P. Global results for an epidemic model with vaccination that exhibits backward bifurcations. SIAM J. Appl. Math. 64 1 (2003) 260-276
    • (2003) SIAM J. Appl. Math. , vol.64 , Issue.1 , pp. 260-276
    • Arino, J.1    McCluskey, C.C.2    van den Driessche, P.3
  • 4
    • 0035691545 scopus 로고    scopus 로고
    • Immunogenicity and reactogenicity of the adult tetanus-diphtheria vaccine. How many doses are necessary?
    • Bayas J.M., Vilella A., Bertran M.J., Vidal J., Batalla J., Asenjo M.A., and Salleras L.L. Immunogenicity and reactogenicity of the adult tetanus-diphtheria vaccine. How many doses are necessary?. Epidemiol. Infect. 127 03 (2002) 451-460
    • (2002) Epidemiol. Infect. , vol.127 , Issue.3 , pp. 451-460
    • Bayas, J.M.1    Vilella, A.2    Bertran, M.J.3    Vidal, J.4    Batalla, J.5    Asenjo, M.A.6    Salleras, L.L.7
  • 5
    • 0025830662 scopus 로고
    • Duration of immunity following immunization with live measles-vaccine-15 years of observation in Zhejiang province, China
    • Bin D., Chen Z.H., Liu Q.C., Wu T., Guo C.Y., Wang X.Z., Fang H.H., and Xiang Y.Z. Duration of immunity following immunization with live measles-vaccine-15 years of observation in Zhejiang province, China. Bull. World Health Organ. 69 1 (1991) 415-423
    • (1991) Bull. World Health Organ. , vol.69 , Issue.1 , pp. 415-423
    • Bin, D.1    Chen, Z.H.2    Liu, Q.C.3    Wu, T.4    Guo, C.Y.5    Wang, X.Z.6    Fang, H.H.7    Xiang, Y.Z.8
  • 6
    • 33747154077 scopus 로고    scopus 로고
    • Introducing a population into a steady community: the critical case, the center manifold, and the direction of bifurcation
    • Boldin B. Introducing a population into a steady community: the critical case, the center manifold, and the direction of bifurcation. SIAM J. Appl. Math. 66 1 (2006) 1424-1453
    • (2006) SIAM J. Appl. Math. , vol.66 , Issue.1 , pp. 1424-1453
    • Boldin, B.1
  • 7
    • 0031986114 scopus 로고    scopus 로고
    • Immunity to mumps before and after MMR vaccination at 12 years of age in the first generation offered the two-dose immunization programme
    • Broliden K., Abreu E.R., Arneborn M., and Bottiger M. Immunity to mumps before and after MMR vaccination at 12 years of age in the first generation offered the two-dose immunization programme. Vaccine 16 2-3 (1998) 323-327
    • (1998) Vaccine , vol.16 , Issue.2-3 , pp. 323-327
    • Broliden, K.1    Abreu, E.R.2    Arneborn, M.3    Bottiger, M.4
  • 8
    • 17844381287 scopus 로고    scopus 로고
    • Subthreshold domain of bistable equilibria for a model of HIV epidemiology
    • Corbett B.D., Moghadas S.M., and Gumel A.B. Subthreshold domain of bistable equilibria for a model of HIV epidemiology. Int. J. Math. Math. Sci. 58 (2003) 3679-3698
    • (2003) Int. J. Math. Math. Sci. , vol.58 , pp. 3679-3698
    • Corbett, B.D.1    Moghadas, S.M.2    Gumel, A.B.3
  • 10
    • 0030573518 scopus 로고    scopus 로고
    • Incorporating immunological ideas in epidemiological models
    • Dushoff J. Incorporating immunological ideas in epidemiological models. J. Theor. Biol. 180 1 (1996) 181-187
    • (1996) J. Theor. Biol. , vol.180 , Issue.1 , pp. 181-187
    • Dushoff, J.1
  • 11
  • 12
    • 26444475399 scopus 로고    scopus 로고
    • Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence
    • Gomes M.G.M., Margheri A., Medley G.F., and Rebelo C. Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence. J. Math. Biol. 51 1 (2005) 414-430
    • (2005) J. Math. Biol. , vol.51 , Issue.1 , pp. 414-430
    • Gomes, M.G.M.1    Margheri, A.2    Medley, G.F.3    Rebelo, C.4
  • 13
    • 0028022941 scopus 로고
    • Immune response to influenza vaccination of elderly people. A randomized double-blind placebo-controlled trial
    • Govaert T., Sprenger M., Dinant G., Aretz K., Masurel N., and Knottnerus J. Immune response to influenza vaccination of elderly people. A randomized double-blind placebo-controlled trial. Vaccine 12 13 (1994) 1185-1189
    • (1994) Vaccine , vol.12 , Issue.13 , pp. 1185-1189
    • Govaert, T.1    Sprenger, M.2    Dinant, G.3    Aretz, K.4    Masurel, N.5    Knottnerus, J.6
  • 14
    • 0034887110 scopus 로고    scopus 로고
    • Differential regulation of antiviral T-cell immunity results in stable CD8+ but declining CD4+ T-cell memory
    • Homann D., Teyton L., and Oldstone M.B. Differential regulation of antiviral T-cell immunity results in stable CD8+ but declining CD4+ T-cell memory. Nat. Med. 7 8 (2001)
    • (2001) Nat. Med. , vol.7 , Issue.8
    • Homann, D.1    Teyton, L.2    Oldstone, M.B.3
  • 15
    • 0343238366 scopus 로고    scopus 로고
    • A simple vaccination model with multiple endemic states
    • Kribs-Zaleta C.M., and Velasco-Hernandez J.X. A simple vaccination model with multiple endemic states. Math. Biosci. 164 (2000) 183-201
    • (2000) Math. Biosci. , vol.164 , pp. 183-201
    • Kribs-Zaleta, C.M.1    Velasco-Hernandez, J.X.2
  • 16
    • 0003536924 scopus 로고
    • W.H. Freeman and Company, New York, NY
    • Kuby J. Immunology (1994), W.H. Freeman and Company, New York, NY
    • (1994) Immunology
    • Kuby, J.1
  • 17
    • 0033745346 scopus 로고    scopus 로고
    • Protective titres of measles neutralising antibody
    • Lee M.S., Nokes D.J., Hsu H.M., and Lu C.F. Protective titres of measles neutralising antibody. J. Med. Virol. 62 1 (2000) 511-517
    • (2000) J. Med. Virol. , vol.62 , Issue.1 , pp. 511-517
    • Lee, M.S.1    Nokes, D.J.2    Hsu, H.M.3    Lu, C.F.4
  • 18
    • 0035162141 scopus 로고    scopus 로고
    • A prospective study of human papillomavirus (HPV) type 16 DNA detection by polymerase chain reaction and its association with acquisition and persistence of other HPV types
    • Liaw K.-L., Hildesheim A., Burk R., Gravitt P., Wacholder S., Manos M., Scott D., Sherman M., Kurman R., Glass A., Anderson S., and Schiffman M. A prospective study of human papillomavirus (HPV) type 16 DNA detection by polymerase chain reaction and its association with acquisition and persistence of other HPV types. J. Infect. Dis. 183 1 (2001) 8-15
    • (2001) J. Infect. Dis. , vol.183 , Issue.1 , pp. 8-15
    • Liaw, K.-L.1    Hildesheim, A.2    Burk, R.3    Gravitt, P.4    Wacholder, S.5    Manos, M.6    Scott, D.7    Sherman, M.8    Kurman, R.9    Glass, A.10    Anderson, S.11    Schiffman, M.12
  • 19
    • 0037606173 scopus 로고    scopus 로고
    • Multiple equilibria: tuberculosis transmission require unrealistic assumptions
    • Lipsitch M., and Murray M.B. Multiple equilibria: tuberculosis transmission require unrealistic assumptions. Theor. Popul. Biol. 63 2 (2003) 169-170
    • (2003) Theor. Popul. Biol. , vol.63 , Issue.2 , pp. 169-170
    • Lipsitch, M.1    Murray, M.B.2
  • 20
    • 77049157094 scopus 로고
    • The analysis of equilibrium in malaria
    • Macdonald G. The analysis of equilibrium in malaria. Trop. Dis. Bull. 49 9 (1952) 813-829
    • (1952) Trop. Dis. Bull. , vol.49 , Issue.9 , pp. 813-829
    • Macdonald, G.1
  • 21
    • 33646548539 scopus 로고    scopus 로고
    • An epidemic model structured by host immunity
    • Martcheva M., and Pilyugin S. An epidemic model structured by host immunity. J. Biol. Syst. 14 2 (2006) 185-203
    • (2006) J. Biol. Syst. , vol.14 , Issue.2 , pp. 185-203
    • Martcheva, M.1    Pilyugin, S.2
  • 22
    • 0035967982 scopus 로고    scopus 로고
    • Infectious disease dynamics: what characterizes a successful invader
    • May R.M., Gupta S., and McLean A.R. Infectious disease dynamics: what characterizes a successful invader. Philos. Trans. R. Soc. London 356 (2001) 901-910
    • (2001) Philos. Trans. R. Soc. London , vol.356 , pp. 901-910
    • May, R.M.1    Gupta, S.2    McLean, A.R.3
  • 23
    • 34547402617 scopus 로고    scopus 로고
    • Resistance mechanisms matter in SIRS models
    • Reluga T., and Medlock J. Resistance mechanisms matter in SIRS models. Math. Biosci. Eng. 4 3 (2007) 553-563
    • (2007) Math. Biosci. Eng. , vol.4 , Issue.3 , pp. 553-563
    • Reluga, T.1    Medlock, J.2
  • 24
    • 0035892786 scopus 로고    scopus 로고
    • Cervical coinfection with human papillomavirus (HPV) types as a predictor of acquisition and persistence of HPV infection
    • Rousseau M.-C., Pereira J., Prado J., Villa L., Rohan T., and Franco E. Cervical coinfection with human papillomavirus (HPV) types as a predictor of acquisition and persistence of HPV infection. J. Infect. Dis. 184 12 (2001) 1508-1517
    • (2001) J. Infect. Dis. , vol.184 , Issue.12 , pp. 1508-1517
    • Rousseau, M.-C.1    Pereira, J.2    Prado, J.3    Villa, L.4    Rohan, T.5    Franco, E.6
  • 26
    • 0033805321 scopus 로고    scopus 로고
    • Concurrent and sequential acquisition of different genital human papillomavirus types
    • Thomas K., Hughes J., Kuypers J., Kiviat N., Lee S.-K., Adam D., and Koutsky L. Concurrent and sequential acquisition of different genital human papillomavirus types. J. Infect. Dis. 182 4 (2000) 1097-1102
    • (2000) J. Infect. Dis. , vol.182 , Issue.4 , pp. 1097-1102
    • Thomas, K.1    Hughes, J.2    Kuypers, J.3    Kiviat, N.4    Lee, S.-K.5    Adam, D.6    Koutsky, L.7


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.