메뉴 건너뛰기




Volumn 140, Issue 2-3, 2003, Pages 537-547

Globally stable vaccine-induced eradication of horizontally and vertically transmitted infectious diseases with periodic contact rates and disease-dependent demographic factors in the population

Author keywords

Cooperative dynamical systems; Epidemic and vaccination models; Floquet theory; Stability theory

Indexed keywords

ASYMPTOTIC STABILITY; EIGENVALUES AND EIGENFUNCTIONS; POPULATION STATISTICS; VACCINES;

EID: 0037431579     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00251-5     Document Type: Article
Times cited : (12)

References (16)
  • 2
    • 0030965103 scopus 로고    scopus 로고
    • Universal hepatitis B vaccination in Taiwan and the incidence of hepatocarcinoma in children
    • Chang M.H.et al. Universal Hepatitis B vaccination in Taiwan and the incidence of hepatocarcinoma in children. New Engl. J. Med. 336:1997;1855-1859.
    • (1997) New Engl. J. Med. , vol.336 , pp. 1855-1859
    • Chang, M.H.1
  • 3
    • 0030597503 scopus 로고    scopus 로고
    • Oscillatory dynamics of small-pox and the impact of vaccination
    • Duncan C.J., Duncan S.R., Scott S. Oscillatory dynamics of small-pox and the impact of vaccination. J. Th. Biol. 183:1996;447-454.
    • (1996) J. Th. Biol. , vol.183 , pp. 447-454
    • Duncan, C.J.1    Duncan, S.R.2    Scott, S.3
  • 6
    • 0029287206 scopus 로고
    • Modelling epidemics with variable contact rates
    • Greenhalgh D., Das R. Modelling epidemics with variable contact rates. Th. Pop. Biol. 47:1995;129-179.
    • (1995) Th. Pop. Biol. , vol.47 , pp. 129-179
    • Greenhalgh, D.1    Das, R.2
  • 7
    • 0027978417 scopus 로고
    • Bifurcation analysis of periodic SEIR ans SIR epidemic models
    • Kuznetsov Yu.A., Piccardi C. Bifurcation analysis of periodic SEIR ans SIR epidemic models. J. Math. Biol. 32:1994;109-121.
    • (1994) J. Math. Biol. , vol.32 , pp. 109-121
    • Kuznetsov, Yu.A.1    Piccardi, C.2
  • 8
    • 0030544879 scopus 로고    scopus 로고
    • A geometric approach to global stability problem
    • Li M.Y., Muldowney J.S. A geometric approach to global stability problem. SIAM J. Math. An. 27:1996;1070-1083.
    • (1996) SIAM J. Math. An. , vol.27 , pp. 1070-1083
    • Li, M.Y.1    Muldowney, J.S.2
  • 9
    • 0036222772 scopus 로고    scopus 로고
    • Global dynamics of a SEIR epidemic model with vertical transmission
    • Li M.Y., Smith H.L., Wang L. Global dynamics of a SEIR epidemic model with vertical transmission. SIAM J. Appl. Math. 62(1):2002;58-69.
    • (2002) SIAM J. Appl. Math. , vol.62 , Issue.1 , pp. 58-69
    • Li, M.Y.1    Smith, H.L.2    Wang, L.3
  • 11
    • 0015739604 scopus 로고
    • Recurrent outbreaks of measles, chickenpox and mumps
    • London W.P., Yorke J.A. Recurrent outbreaks of measles, chickenpox and mumps. Am. J. Epid. 98:1973;453-468.
    • (1973) Am. J. Epid. , vol.98 , pp. 453-468
    • London, W.P.1    Yorke, J.A.2
  • 12
    • 0012460662 scopus 로고    scopus 로고
    • A method to estimate the incidence of communicable diseases under seasonal fluctuations with application to cholera
    • Pourabbas E., d'Onofrio A., Rafanelli M. A method to estimate the incidence of communicable diseases under seasonal fluctuations with application to cholera. Appl. Math. Comput. 118:2001;161-174.
    • (2001) Appl. Math. Comput. , vol.118 , pp. 161-174
    • Pourabbas, E.1    D'Onofrio, A.2    Rafanelli, M.3
  • 13
    • 0020963836 scopus 로고
    • Subharmonic bifurcation in a S-I-R epidemic model
    • Smith H.L. Subharmonic bifurcation in a S-I-R epidemic model. J. Math. Biol. 17:1983;163-177.
    • (1983) J. Math. Biol. , vol.17 , pp. 163-177
    • Smith, H.L.1
  • 14
  • 15
    • 0021051389 scopus 로고
    • Infinite subharmonics bifurcation in an SEIR epidemic model
    • Schwartz I.B., Smith H.L. Infinite subharmonics bifurcation in an SEIR epidemic model. J. Math. Biol. 18:1983;233-253.
    • (1983) J. Math. Biol. , vol.18 , pp. 233-253
    • Schwartz, I.B.1    Smith, H.L.2
  • 16
    • 0026451408 scopus 로고
    • Small amplitude, long period outbreaks in seasonally driven epidemic
    • Schwartz I.B. Small amplitude, long period outbreaks in seasonally driven epidemic. J. Math. Biol. 30:1992;473-491.
    • (1992) J. Math. Biol. , vol.30 , pp. 473-491
    • Schwartz, I.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.