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Volumn 19, Issue 2, 2002, Pages 95-112

Population-induced oscillations in blended SI-SEI epidemiological models

Author keywords

basic epidemiological models; exponential and logistic population dynamics; sustained oscillations

Indexed keywords

POPULATION STATISTICS;

EID: 0043288793     PISSN: 14778599     EISSN: 14778602     Source Type: Journal    
DOI: 10.1093/imammb/19.2.95     Document Type: Article
Times cited : (9)

References (21)
  • 1
    • 0023734156 scopus 로고
    • Possible demographic consequences of HIV in developing countries. I. Assuming HIV always leads to AIDS
    • ANDERSON, R. M., MAY, R. M. & MCLEAN, A. (1988) Possible demographic consequences of HIV in developing countries. I. Assuming HIV always leads to AIDS. Math. Biosciences, 90, 475-505.
    • (1988) Math. Biosciences , vol.90 , pp. 475-505
    • ANDERSON, R. M.1    MAY, R. M.2    MCLEAN, A.3
  • 4
    • 0029114828 scopus 로고
    • The intrinsic transmission dynamics of TB epidemics
    • BLOWER, S. et al. (1995) The intrinsic transmission dynamics of TB epidemics. Nature Medecine, 1, 815-821.
    • (1995) Nature Medecine , vol.1 , pp. 815-821
    • BLOWER, S.1
  • 6
    • 0000121386 scopus 로고
    • Epidemic models in populations of varying size, in Mathematical approaches to problems in resource management and epidemiology
    • (C.C. Castillo Chavez, S. A. Schoemaker Levin & C., eds). Berlin: Springer
    • BRAUER, F. (1989) Epidemic models in populations of varying size, in Mathematical approaches to problems in resource management and epidemiology. Lecture Notes Biom. 81. (C.C. Castillo Chavez, S. A. Schoemaker Levin & C., eds). Berlin: Springer.
    • (1989) Lecture Notes Biom , vol.81
    • BRAUER, F.1
  • 8
    • 0025112636 scopus 로고
    • Analysis of a disease transmission model in a population of varying size
    • BUSENBERG, S. & VAN DEN DRIESSCHE, P. (1990) Analysis of a disease transmission model in a population of varying size. J. Math. Biol., 28, 257-270.
    • (1990) J. Math. Biol , vol.28 , pp. 257-270
    • BUSENBERG, S.1    VAN DEN DRIESSCHE, P.2
  • 9
    • 0011252155 scopus 로고
    • Non existence of periodic solutions in a class of epidemiological models. Differential equation models in biology, epidemiology and ecology
    • (S. Busenberg & M. Martelli, eds). Berlin: Springer
    • BUSENBERG, S. & VAN DEN DRIESSCHE, P. (1992) Non existence of periodic solutions in a class of epidemiological models. Differential equation models in biology, epidemiology and ecology. Lecture Notes Biom. 92. (S. Busenberg & M. Martelli, eds). Berlin: Springer, pp. 70-79.
    • (1992) Lecture Notes Biom , vol.92 , pp. 70-79
    • BUSENBERG, S.1    VAN DEN DRIESSCHE, P.2
  • 10
    • 0031154662 scopus 로고    scopus 로고
    • To treat or not to treat: the case of tuberculosis
    • CASTILLO-CHAVEZ, C. & FENG, Z. (1997a) To treat or not to treat: the case of tuberculosis. J. Math. Biol., 35, 629-656.
    • (1997) J. Math. Biol , vol.35 , pp. 629-656
    • CASTILLO-CHAVEZ, C.1    FENG, Z.2
  • 11
    • 0031154662 scopus 로고    scopus 로고
    • Mathematical models for the dynamics of TB
    • (O. Arino et al., ed). Singapore: World Scientific
    • CASTILLO-CHAVEZ, C. & FENG, Z. (1997b) Mathematical models for the dynamics of TB. Advances in Mathematical Population Dynamics. (O. Arino et al., ed.). Singapore: World Scientific, pp. 629-657.
    • (1997) Advances in Mathematical Population Dynamics , pp. 629-657
    • CASTILLO-CHAVEZ, C.1    FENG, Z.2
  • 13
    • 0002091257 scopus 로고
    • How does transmission of infection depends on population size?
    • (D. Mollison, ed). Cambridge: Cambridge University Press
    • DE JONG, M., DIEKMANN, O. & HEESTERBEEK, H. (1993) How does transmission of infection depends on population size? Epidemic Models. (D. Mollison, ed.). Cambridge: Cambridge University Press, pp. 84-94.
    • (1993) Epidemic Models , pp. 84-94
    • DE JONG, M.1    DIEKMANN, O.2    HEESTERBEEK, H.3
  • 14
    • 0026064784 scopus 로고
    • Patterns in the effects of infectious diseaes on population growth
    • DIEKMANN, O. & KRETZSCHMAR, M. (1991) Patterns in the effects of infectious diseaes on population growth. J. Math. Biol., 29, 547-570.
    • (1991) J. Math. Biol , vol.29 , pp. 547-570
    • DIEKMANN, O.1    KRETZSCHMAR, M.2
  • 15
    • 0026444580 scopus 로고
    • Disease transmission models with density dependent demographics
    • GAO, L. & HETHCOTE, H. W. (1992) Disease transmission models with density dependent demographics. J. Math. Biol., 30, 717-731.
    • (1992) J. Math. Biol , vol.30 , pp. 717-731
    • GAO, L.1    HETHCOTE, H. W.2
  • 16
    • 0029012360 scopus 로고
    • Four SEI endemic models with periodicity and separatrices
    • GAO, L., MENA LORCA, J. & HETHCOTE, H. W. (1995) Four SEI endemic models with periodicity and separatrices. Math. Biosciences, 128, 157-184.
    • (1995) Math. Biosciences , vol.128 , pp. 157-184
    • GAO, L.1    MENA LORCA, J.2    HETHCOTE, H. W.3
  • 18
    • 0024995399 scopus 로고
    • An epidemic models with a density dependent death rate
    • GREENHALGH, D. (1990) An epidemic models with a density dependent death rate. IMA J. Math. Appl. Biol. Med., 7, 1-26.
    • (1990) IMA J. Math. Appl. Biol. Med , vol.7 , pp. 1-26
    • GREENHALGH, D.1
  • 19
    • 0026915687 scopus 로고
    • Vaccination in density dependent epidemic models
    • GREENHALGH, D. (1992a) Vaccination in density dependent epidemic models. Bulletin Math. Biol., 54, 733-758.
    • (1992) Bulletin Math. Biol , vol.54 , pp. 733-758
    • GREENHALGH, D.1
  • 20
    • 0027008214 scopus 로고
    • Some threshold and stability results for epidemic models with density dependent death rate
    • GREENHALGH, D. (1992b) Some threshold and stability results for epidemic models with density dependent death rate. Theo. Popul. Biol., 42, 130-151.
    • (1992) Theo. Popul. Biol , vol.42 , pp. 130-151
    • GREENHALGH, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.