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Volumn 40, Issue 1, 2000, Pages 3-26

Two SIS epidemiologic models with delays

Author keywords

Delay; Epidemiologic modeling; Hopf bifurcation; SIS model; Threshold

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; COMMUNICABLE DISEASE; EPIDEMIOLOGY; HUMAN; MATHEMATICS; PERIODICITY; POPULATION DYNAMICS; STATISTICAL MODEL; STATISTICS;

EID: 0033629069     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002850050003     Document Type: Article
Times cited : (96)

References (16)
  • 1
    • 0018656345 scopus 로고
    • Population biology of infectious diseases I
    • Anderson, R. M. and May, R. M.: Population biology of infectious diseases I. Nature 180 (1979) 361-367
    • (1979) Nature , vol.180 , pp. 361-367
    • Anderson, R.M.1    May, R.M.2
  • 2
    • 0025041909 scopus 로고
    • Models for the spread of universally fatal diseases
    • Brauer, F.: Models for the spread of universally fatal diseases. J. Math. Biol. 28 (1990) 451-462
    • (1990) J. Math. Biol. , vol.28 , pp. 451-462
    • Brauer, F.1
  • 3
    • 0004487613 scopus 로고
    • Models for universally fatal diseases, II
    • Differential Equations Models in Biology, Epidemiology and Ecology. Busenberg, S. and Martelli, M., (eds). Springer-Verlag: Berlin, Heidelberg, New York
    • Brauer, F.: Models for universally fatal diseases, II. In: Differential Equations Models in Biology, Epidemiology and Ecology. Busenberg, S. and Martelli, M., (eds). Lecture Notes in Biomathematics 92, Springer-Verlag: Berlin, Heidelberg, New York, 1991, 57-69
    • (1991) Lecture Notes in Biomathematics , vol.92 , pp. 57-69
    • Brauer, F.1
  • 4
    • 0009967980 scopus 로고
    • Vertically Transmitted Diseases
    • Springer-Verlag: Berlin, Heidelberg, New York
    • Busenberg, S. and Cooke, K. L.: Vertically Transmitted Diseases. Biomathematics Vol. 23, Springer-Verlag: Berlin, Heidelberg, New York, 1993
    • (1993) Biomathematics , vol.23
    • Busenberg, S.1    Cooke, K.L.2
  • 5
    • 0020956947 scopus 로고
    • Analysis of a model of a vertically transmitted disease
    • Busenberg, S., Cooke, K. L. and Pozio, A.: Analysis of a model of a vertically transmitted disease. J. Math. Biol. 17 (1983) 305-329
    • (1983) J. Math. Biol. , vol.17 , pp. 305-329
    • Busenberg, S.1    Cooke, K.L.2    Pozio, A.3
  • 6
    • 0024352931 scopus 로고
    • On the role of long incubation periods in the dynamics of AIDS I: Single population models
    • Castillo-Chavez, C., Cooke, K., Huang, W. and Levin, S. A.: On the role of long incubation periods in the dynamics of AIDS I: Single population models. J. Math. Biol. 27 (1989) 373-398
    • (1989) J. Math. Biol. , vol.27 , pp. 373-398
    • Castillo-Chavez, C.1    Cooke, K.2    Huang, W.3    Levin, S.A.4
  • 7
    • 25644446425 scopus 로고
    • Some equations modelling growth processes and gonorrhea epidemics
    • Cooke, K. L. and 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
  • 8
    • 0026444580 scopus 로고
    • Disease transmission models with density-dependent demographics
    • Gao, L. Q. and Hethcote, H. W.: Disease transmission models with density-dependent demographics. J. Math. Biol. 30 (1992) 717-731
    • (1992) J. Math. Biol. , vol.30 , pp. 717-731
    • Gao, L.Q.1    Hethcote, H.W.2
  • 9
    • 0000751578 scopus 로고
    • A thousand and one epidemic models
    • Frontiers in Theoretical Biology, Levin, S. A. (ed.), Springer-Verlag: Berlin Heidelberg New York
    • Hethcote, H. W.: A thousand and one epidemic models. In: Frontiers in Theoretical Biology, Levin, S. A. (ed.), Lecture Notes in Biomathematics 100, Springer-Verlag: Berlin Heidelberg New York, 1994, 504-515
    • (1994) Lecture Notes in Biomathematics , vol.100 , pp. 504-515
    • Hethcote, H.W.1
  • 11
    • 0029445684 scopus 로고
    • An SIS epidemic model with variable population size and a delay
    • Hethcote, H. W. and van den Driessche, P.: An SIS epidemic model with variable population size and a delay. J. Math. Biol. 34 (1995) 177-194
    • (1995) J. Math. Biol. , vol.34 , pp. 177-194
    • Hethcote, H.W.1    Van Den Driessche, P.2
  • 12
    • 0003020529 scopus 로고
    • Gonorrhea Transmission Dynamics and Control
    • Springer-Verlag: Berlin, Heidelberg, New York
    • Hethcote, H. W. and Yorke, J. A.: Gonorrhea Transmission Dynamics and Control. Lecture Notes in Biomathematics 56, Springer-Verlag: Berlin, Heidelberg, New York, 1984
    • (1984) Lecture Notes in Biomathematics , vol.56
    • Hethcote, H.W.1    Yorke, J.A.2
  • 15
    • 0027678367 scopus 로고
    • How may infection-age dependent infectivity affect the dynamics of HIV/AIDS?
    • Thieme, H. R. and Castillo-Chavez, C.: How may infection-age dependent infectivity affect the dynamics of HIV/AIDS? SIAM J. Appl. Math. 53 (1993) 1447-1479
    • (1993) SIAM J. Appl. Math. , vol.53 , pp. 1447-1479
    • Thieme, H.R.1    Castillo-Chavez, C.2
  • 16
    • 0028726379 scopus 로고
    • Population size dependent incidence in models for diseases without immunity
    • Zhou, J. and Hethcote, H. W.: Population size dependent incidence in models for diseases without immunity. J. Math. Biol., 32 (1994) 809-834
    • (1994) J. Math. Biol. , vol.32 , pp. 809-834
    • Zhou, J.1    Hethcote, H.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.