메뉴 건너뛰기




Volumn 4, Issue 3, 2007, Pages 553-563

Resistance mechanisms matter in SIR models

Author keywords

Behavioral resistance; Immunity; Immunological resistance; Resistance bookkeeping

Indexed keywords


EID: 34547402617     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2007.4.553     Document Type: Article
Times cited : (21)

References (22)
  • 1
    • 1642350077 scopus 로고    scopus 로고
    • Infection, reinfection, and vaccination under suboptimal immune protection: Epidemiological perspectives
    • M. G. M. Gomes, L. J. White, and G. F. Medley, Infection, reinfection, and vaccination under suboptimal immune protection: epidemiological perspectives, Journal of Theoretical Biology 228 (2004) 539-549.
    • (2004) Journal of Theoretical Biology , vol.228 , pp. 539-549
    • Gomes, M.G.M.1    White, L.J.2    Medley, G.F.3
  • 3
    • 0003536924 scopus 로고
    • W. H. Freeman and Company, New York, NY
    • J. Kuby, Immunology, W. H. Freeman and Company, New York, NY (1994).
    • (1994) Immunology
    • Kuby, J.1
  • 5
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • P. van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences 180 (2002) 29-48.
    • (2002) Mathematical Biosciences , vol.180 , pp. 29-48
    • van den Driessche, P.1    Watmough, J.2
  • 6
    • 31244431623 scopus 로고    scopus 로고
    • Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
    • A. Korobeinikov and G. C. Wake, Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models, Applied Mathematics Letters 15 (2002) 955-960.
    • (2002) Applied Mathematics Letters , vol.15 , pp. 955-960
    • Korobeinikov, A.1    Wake, G.C.2
  • 7
    • 0031992574 scopus 로고    scopus 로고
    • Backwards bifurcations and catastrophe in simple models of fatal diseases
    • J. Dushoff, W. Z. Huang, and C. Castillo-Chavez, Backwards bifurcations and catastrophe in simple models of fatal diseases, Journal of Mathematical Biology 36 (1998) 227-248.
    • (1998) Journal of Mathematical Biology , vol.36 , pp. 227-248
    • Dushoff, J.1    Huang, W.Z.2    Castillo-Chavez, C.3
  • 8
    • 0000723140 scopus 로고
    • Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission
    • W. Huang, K. L. Cooke, and C. Castillo-Chavez, Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission, SIAM Journal of Applied Mathematics 52 (1992) 835-854.
    • (1992) SIAM Journal of Applied Mathematics , vol.52 , pp. 835-854
    • Huang, W.1    Cooke, K.L.2    Castillo-Chavez, C.3
  • 9
    • 0026846319 scopus 로고
    • Reproduction numbers and the stability of equilibria of SI models for heterogeneous populations
    • C. P. Simon and J. A. Jacquez, Reproduction numbers and the stability of equilibria of SI models for heterogeneous populations, SIAM Journal of Applied Mathematics 52 (1992) 541-576.
    • (1992) SIAM Journal of Applied Mathematics , vol.52 , pp. 541-576
    • Simon, C.P.1    Jacquez, J.A.2
  • 12
    • 28844439739 scopus 로고    scopus 로고
    • Vaccination against multiple HPV types
    • E. H. Elbasha and A. Galvani, Vaccination against multiple HPV types, Mathematical Biosciences 197 (2005) 88-117.
    • (2005) Mathematical Biosciences , vol.197 , pp. 88-117
    • Elbasha, E.H.1    Galvani, A.2
  • 14
    • 26444475399 scopus 로고    scopus 로고
    • Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence
    • M. G. M. Gomes, A. Margheri, G. F. Medley, and C. Rebelo, Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence, Journal of Mathematical Biology 51 (2005) 414-430.
    • (2005) Journal of Mathematical Biology , vol.51 , pp. 414-430
    • Gomes, M.G.M.1    Margheri, A.2    Medley, G.F.3    Rebelo, C.4
  • 16
    • 0038159155 scopus 로고    scopus 로고
    • URL, accessed November 28, 2006
    • A. Miniño, M. Heron, and B. Smith, Deaths: Preliminary data for 2004 (2006). URL http://www.cdc.gov/nchs/products/pubs/pubd/hestats/ prelimdeaths04/preliminarydeaths04.htm, accessed November 28, 2006.
    • (2006) Deaths: Preliminary data for 2004
    • Miniño, A.1    Heron, M.2    Smith, B.3
  • 17
    • 85039229165 scopus 로고    scopus 로고
    • Centers for Disease Control and Prevention CDC, URL, accessed November 28, 2006
    • Centers for Disease Control and Prevention (CDC) (2006). URL http://www.cdc.gov/flu/professionals/vaccination/pdf/targetpopchaurt.pdf, accessed November 28, 2006.
    • (2006)
  • 20
    • 1042298863 scopus 로고    scopus 로고
    • Global results for an epidemic model with vaccination that exhibits backward bifurcations
    • J. Arino, C. C. McCluskey, and P. van den Driessche, Global results for an epidemic model with vaccination that exhibits backward bifurcations, SIAM Journal of Applied Mathematics 64 (2003) 260-276.
    • (2003) SIAM Journal of Applied Mathematics , vol.64 , pp. 260-276
    • Arino, J.1    McCluskey, C.C.2    van den Driessche, P.3
  • 21
    • 0037606173 scopus 로고    scopus 로고
    • Multiple equilibria: Tuberculosis transmission require unrealistic assumptions
    • M. Lipsitch and M. B. Murray, Multiple equilibria: Tuberculosis transmission require unrealistic assumptions, Theoretical Population Biology 63 (2003) 169-170.
    • (2003) Theoretical Population Biology , vol.63 , pp. 169-170
    • Lipsitch, M.1    Murray, M.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.