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Volumn 35, Issue 2, 1996, Pages 240-260

Analysis of an SEIRS epidemic model with two delays

Author keywords

Delay equation; Epidemic model; Epidemic threshold; Integro differential equation

Indexed keywords

INTEGRO-DIFFERENTIAL EQUATION;

EID: 0030318519     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s002850050051     Document Type: Article
Times cited : (298)

References (17)
  • 2
    • 0025041909 scopus 로고
    • Models for the spread of universally fatal diseases
    • Brauer, F., Models for the spread of universally fatal diseases, J. Math. Biology 28 (1990) 451-462
    • (1990) J. Math. Biology , vol.28 , pp. 451-462
    • Brauer, F.1
  • 3
    • 0004487613 scopus 로고
    • Models for the spread of universally fátal diseases, II, in Differential Equation Models in Biology, Epidemiology and Ecology, eds. Busenberg, S., Martelli, M
    • Brauer, F., Models for the spread of universally fátal diseases, II, in Differential Equation Models in Biology, Epidemiology and Ecology, eds. Busenberg, S., Martelli, M., Lecture Notes in Biomath. 92 (1991) 57-69
    • (1991) Lecture Notes in Biomath. , vol.92 , pp. 57-69
    • Brauer, F.1
  • 4
    • 0019194059 scopus 로고
    • The effect of integral conditions in certain equations modelling epidemics and population growth
    • Busenberg, S., Cooke, K. L., The effect of integral conditions in certain equations modelling epidemics and population growth, J. Math. Biology, 10 (1980) 13-32
    • (1980) J. Math. Biology , vol.10 , pp. 13-32
    • Busenberg, S.1    Cooke, K.L.2
  • 5
    • 0009967980 scopus 로고
    • Vertically Transmitted Diseases
    • 23 Springer-Verlag
    • Busenberg, S., Cooke, K. L., Vertically Transmitted Diseases, Biomathematics, 23 Springer-Verlag 1993
    • (1993) Biomathematics
    • Busenberg, S.1    Cooke, K.L.2
  • 6
    • 0020956947 scopus 로고
    • Analysis of a model of a vertically transmitted disease
    • Busenberg, S., Cooke, K. L., Pozio, A., Analysis of a model of a vertically transmitted disease, J. Math. Biology, 17 (1983) 305-329
    • (1983) J. Math. Biology, 17 , pp. 305-329
    • Busenberg, S.1    Cooke, K.L.2    Pozio, A.3
  • 7
    • 0025112636 scopus 로고
    • Analysis of a disease transmission model in a population with varying size
    • Busenberg, S., van den Driessche, P., Analysis of a disease transmission model in a population with varying size, J. Math. Biology, 28 (1990) 257-270
    • (1990) J. Math. Biology , vol.28 , pp. 257-270
    • Busenberg, S.1    Van Den Driessche, P.2
  • 8
    • 0011252155 scopus 로고
    • Nonexistence of periodic solutions of a class of epidemiological models, in Differential Equation Models in Biology, Epidemiology and Ecology
    • eds. Busenberg, S., Martelli, M.
    • Busenberg, S., van den Driessche, P., Nonexistence of periodic solutions of a class of epidemiological models, in Differential Equation Models in Biology, Epidemiology and Ecology, eds. Busenberg, S., Martelli, M., Lecture Notes in Biomath, 92 (1991) 70-79
    • (1991) Lecture Notes in Biomath , vol.92 , pp. 70-79
    • Busenberg, S.1    Van Den Driessche, P.2
  • 9
    • 25644446425 scopus 로고
    • Some equations modelling growth processes and gonorrhea epidemics
    • Cooke, K. L., Yorke, J. A., Some equations modelling growth processes and gonorrhea epidemics, Math. Biosci., 16 (1973) 75-101
    • (1973) Math. Biosci. , vol.16 , pp. 75-101
    • Cooke, K.L.1    Yorke, J.A.2
  • 10
    • 0016506969 scopus 로고
    • Asymptotic behavior of solutions to a population equation
    • Greenberg, J. M., Hoppensteadt, F., Asymptotic behavior of solutions to a population equation, SIAM J. Appl. Math., 28 (1975) 662-674
    • (1975) SIAM J. Appl. Math. , vol.28 , pp. 662-674
    • Greenberg, J.M.1    Hoppensteadt, F.2
  • 12
    • 0024578161 scopus 로고
    • An epidemiological model with a delay and a nonlinear incidence rate
    • Hethcote, H. W., Lewis, M. A., van den Driessche, P., An epidemiological model with a delay and a nonlinear incidence rate, J. Math. Biology, 27 (1989) 49-64
    • (1989) J. Math. Biology , vol.27 , pp. 49-64
    • Hethcote, H.W.1    Lewis, M.A.2    Van Den Driessche, P.3
  • 14
    • 0019836498 scopus 로고
    • Stability analysis for models of diseases without immunity
    • Hethcote, H. W., Stech, H. W., van den Driessche, P., Stability analysis for models of diseases without immunity, J. Math. Biology, 13 (1981b) 185-198
    • (1981) J. Math. Biology , vol.13 , pp. 185-198
    • Hethcote, H.W.1    Stech, H.W.2    Van Den Driessche, P.3
  • 15
    • 0029445684 scopus 로고
    • An SIS epidemic model with variable population size and a delay
    • Hethcote, H. W., van den Driessche, P., An SIS epidemic model with variable population size and a delay, J. Math. Biology, 34 (1995) 177-194
    • (1995) J. Math. Biology , vol.34 , pp. 177-194
    • Hethcote, H.W.1    Van Den Driessche, P.2
  • 16
    • 84915675836 scopus 로고
    • A cyclic epidemic model with temporary immunity and vital dynamics, in Population Biology
    • eds., Freedman, H.I., Strobeck, C.
    • van den Driessche, P., A cyclic epidemic model with temporary immunity and vital dynamics, in Population Biology, eds., Freedman, H.I., Strobeck, C., Lecture Notes in Biomath. 52 (1983) 433-440
    • (1983) Lecture Notes in Biomath. , vol.52 , pp. 433-440
    • Van Den Driessche, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.