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Volumn 15, Issue 8, 2002, Pages 955-960

Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models

Author keywords

Direct Lyapunov method; Endemic equilibrium state; Epidemiological models; Global stability; Lyapunov functions

Indexed keywords


EID: 31244431623     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(02)00069-1     Document Type: Article
Times cited : (286)

References (12)
  • 2
    • 0000236256 scopus 로고
    • Periodicity in epidemiological models
    • (Edited by L. Gross and S.A. Levin), Springer, New York
    • H.W. Hethcote and S.A. Levin, Periodicity in epidemiological models, In Applied Mathematical Ecology, (Edited by L. Gross and S.A. Levin), pp. 193-211, Springer, New York, (1989).
    • (1989) Applied Mathematical Ecology , pp. 193-211
    • Hethcote, H.W.1    Levin, S.A.2
  • 4
    • 0026491804 scopus 로고
    • Dynamics models of infectious diseases as regulator of population sizes
    • J. Mena-Lorca and H.W. Hethcote, Dynamics models of infectious diseases as regulator of population sizes, J. Math. Biol. 30, 693-716, (1992).
    • (1992) J. Math. Biol. , vol.30 , pp. 693-716
    • Mena-Lorca, J.1    Hethcote, H.W.2
  • 6
    • 0001436854 scopus 로고
    • A method for proving the non-existence of limit cycles
    • S.N. Busenberg and P. van den Driessche, A method for proving the non-existence of limit cycles, J. Math. Anal. Appl. 172, 463-479, (1993).
    • (1993) J. Math. Anal. Appl. , vol.172 , pp. 463-479
    • Busenberg, S.N.1    Van Den Driessche, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.