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Volumn 207, Issue 1, 2007, Pages 89-103

Modeling relapse in infectious diseases

Author keywords

Basic reproduction number; Delay; Infectious disease; Integro differential equation; Relapse

Indexed keywords

COMPUTER SIMULATION; DISEASE CONTROL; INTEGRODIFFERENTIAL EQUATIONS; LYAPUNOV FUNCTIONS; MATHEMATICAL MODELS;

EID: 34147109285     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2006.09.017     Document Type: Article
Times cited : (97)

References (19)
  • 2
    • 0001026375 scopus 로고
    • Stability in a model of a delayed neural network
    • Bélair J. Stability in a model of a delayed neural network. J. Dynam. Differ. Equat. 5 (1993) 607
    • (1993) J. Dynam. Differ. Equat. , vol.5 , pp. 607
    • Bélair, J.1
  • 3
    • 0036373967 scopus 로고    scopus 로고
    • Geometric stability switch criteria in delay differential systems with delay dependent parameters
    • Beretta E., and Kuang Y. Geometric stability switch criteria in delay differential systems with delay dependent parameters. SIAM J. Math. Anal. 33 (2002) 1144
    • (2002) SIAM J. Math. Anal. , vol.33 , pp. 1144
    • Beretta, E.1    Kuang, Y.2
  • 4
    • 4344617294 scopus 로고    scopus 로고
    • Modelling the genital herpes epidemic
    • Blower S. Modelling the genital herpes epidemic. Herpes 11 Suppl. 3 (2004) 138A
    • (2004) Herpes , vol.11 , Issue.SUPPL. 3
    • Blower, S.1
  • 5
    • 0031746978 scopus 로고    scopus 로고
    • Predicting and preventing the emergence of antiviral drug resistance in HSV-2
    • Blower S., Porco T.C., and Darby G. Predicting and preventing the emergence of antiviral drug resistance in HSV-2. Nat. Med. 4 (1998) 673
    • (1998) Nat. Med. , vol.4 , pp. 673
    • Blower, S.1    Porco, T.C.2    Darby, G.3
  • 6
    • 0001773451 scopus 로고
    • Asymptotically autonomous epidemic models
    • Mathematical Population Dynamics: Analysis of Heterogenity. Arino O., Axelrod D., Kimmel M., and Langlais M. (Eds), Wuertz
    • Castillo-Chávez C., and Thieme H.R. Asymptotically autonomous epidemic models. In: Arino O., Axelrod D., Kimmel M., and Langlais M. (Eds). Mathematical Population Dynamics: Analysis of Heterogenity. Theory of Epidemics vol. 1 (1995), Wuertz 33
    • (1995) Theory of Epidemics , vol.1 , pp. 33
    • Castillo-Chávez, C.1    Thieme, H.R.2
  • 7
    • 0000209631 scopus 로고
    • Discrete delay, distributed delay and stability switches
    • Cooke K., and Grossman Z. Discrete delay, distributed delay and stability switches. J. Math. Anal. Appl. 86 (1982) 592
    • (1982) J. Math. Anal. Appl. , vol.86 , pp. 592
    • Cooke, K.1    Grossman, Z.2
  • 8
    • 0033209987 scopus 로고    scopus 로고
    • Interaction of maturation delay and nonlinear birth in population and epidemic models
    • Cooke K., van den Driessche P., and Zou X. Interaction of maturation delay and nonlinear birth in population and epidemic models. J. Math. Biol. 39 (1999) 332
    • (1999) J. Math. Biol. , vol.39 , pp. 332
    • Cooke, K.1    van den Driessche, P.2    Zou, X.3
  • 11
    • 0000236256 scopus 로고
    • Periodicity in epidemiological models
    • Levin S.A., Hallam T.G., and Gross L.J. (Eds), Springer, Berlin
    • Hethcote H.W., and Levin S.A. Periodicity in epidemiological models. In: Levin S.A., Hallam T.G., and Gross L.J. (Eds). Applied Mathematical Ecology (1989), Springer, Berlin 193
    • (1989) Applied Mathematical Ecology , pp. 193
    • Hethcote, H.W.1    Levin, S.A.2
  • 13
    • 0031234909 scopus 로고    scopus 로고
    • Global stability in an S → I → R → I model
    • Moreira H.N., and Wang Y. Global stability in an S → I → R → I model. SIAM Rev. 39 (1997) 496
    • (1997) SIAM Rev. , vol.39 , pp. 496
    • Moreira, H.N.1    Wang, Y.2
  • 14
    • 34250281436 scopus 로고
    • Existence and continuous dependence for functional-differential equations with unbounded delay
    • Schumacher K. Existence and continuous dependence for functional-differential equations with unbounded delay. Arch. Rational Mech. Anal. 67 (1978) 315
    • (1978) Arch. Rational Mech. Anal. , vol.67 , pp. 315
    • Schumacher, K.1
  • 15
    • 0025022836 scopus 로고
    • Population biology of pseudorabies in swine
    • Smith G., and Grenfell B.T. Population biology of pseudorabies in swine. Am. J. Vet. Res. 51 (1990) 148
    • (1990) Am. J. Vet. Res. , vol.51 , pp. 148
    • Smith, G.1    Grenfell, B.T.2
  • 16
    • 0003726932 scopus 로고
    • American Mathematical Society, Providence, RI
    • Smith H.L. Monotone Dynamical Systems, An Introduction to the Theory of Competitive and Cooperative Systems. Mathematical Surveys and Monographs vol. 40 (1995), American Mathematical Society, Providence, RI
    • (1995) Mathematical Surveys and Monographs , vol.40
    • Smith, H.L.1
  • 17
    • 0025468667 scopus 로고
    • Monotone semiflows in scalar non-quasi-monotone functional-differential equations
    • Thieme H.R., and Smith H.L. Monotone semiflows in scalar non-quasi-monotone functional-differential equations. J. Math. Anal. Appl. 150 (1990) 289
    • (1990) J. Math. Anal. Appl. , vol.150 , pp. 289
    • Thieme, H.R.1    Smith, H.L.2
  • 18
    • 8744263885 scopus 로고
    • A deterministic model for herpes infections in human and animal populations
    • Tudor D. A deterministic model for herpes infections in human and animal populations. SIAM Rev. 32 (1990) 136
    • (1990) SIAM Rev. , vol.32 , pp. 136
    • Tudor, D.1
  • 19
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • van den Driessche P., and Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180 (2002) 29
    • (2002) Math. Biosci. , vol.180 , pp. 29
    • van den Driessche, P.1    Watmough, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.