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Volumn 3, Issue 1, 2006, Pages 101-109

The stability of an SIR epidemic model with time delays

Author keywords

Global asymptotic stability; Lyapunov functional; SIR epidemic model; Time delay

Indexed keywords


EID: 33846868827     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2006.3.101     Document Type: Article
Times cited : (30)

References (10)
  • 1
    • 0003100558 scopus 로고
    • Stability analysis for a vector disease model
    • K. L. Cooke, Stability analysis for a vector disease model, Rocky Mount. J. Math. 9 (1979) 31-42.
    • (1979) Rocky Mount. J. Math , vol.9 , pp. 31-42
    • Cooke, K.L.1
  • 2
    • 0010935174 scopus 로고
    • Periodic solutions of a periodic nonlinear delay differential equation
    • S. Busenberg and K. L. Cooke, Periodic solutions of a periodic nonlinear delay differential equation, SIAM J. Appl. Math. 35 (1978) 704-721.
    • (1978) SIAM J. Appl. Math , vol.35 , pp. 704-721
    • Busenberg, S.1    Cooke, K.L.2
  • 3
    • 0018819127 scopus 로고
    • Global asymptotic stability for a vector disease model with spatial spread
    • P. Marcati, A. M. Pozio, Global asymptotic stability for a vector disease model with spatial spread, J. Math. Biol. 9 (1980) 179-187.
    • (1980) J. Math. Biol , vol.9 , pp. 179-187
    • Marcati, P.1    Pozio, A.M.2
  • 4
    • 0020408480 scopus 로고
    • Global asymptotic stability of a periodic solution to an epidemic model
    • R. Volz, Global asymptotic stability of a periodic solution to an epidemic model, J. Math. Biol. 15 (1982) 319-338.
    • (1982) J. Math. Biol , vol.15 , pp. 319-338
    • Volz, R.1
  • 5
    • 0343442479 scopus 로고    scopus 로고
    • Global asymptotic properties of a delay SIR epidemic model with finite incubation times
    • Y. Takeuchi, W. Ma and E. Beretta, Global asymptotic properties of a delay SIR epidemic model with finite incubation times, Nonlinear Anal. 42 (2000) 931-947.
    • (2000) Nonlinear Anal , vol.42 , pp. 931-947
    • Takeuchi, Y.1    Ma, W.2    Beretta, E.3
  • 7
    • 0029190838 scopus 로고
    • Global stability of an SIR epidemic model with time delays
    • E. Beretta, Y. Takeuchi, Global stability of an SIR epidemic model with time delays, J. Math. Biol. 33 (1995) 250-260.
    • (1995) J. Math. Biol , vol.33 , pp. 250-260
    • Beretta, E.1    Takeuchi, Y.2
  • 8
    • 0031167217 scopus 로고    scopus 로고
    • Convergence results in SIR epidemic model with varying population size
    • E. Beretta, Y. Takeuchi, Convergence results in SIR epidemic model with varying population size, Nonlinear Anal. 28 (1997) 1909-1921.
    • (1997) Nonlinear Anal , vol.28 , pp. 1909-1921
    • Beretta, E.1    Takeuchi, Y.2
  • 9
    • 0031167217 scopus 로고    scopus 로고
    • Global asymptotic stability of an SRI epidemic model with distributed time delay
    • E. Beretta, T.Hara, W. Ma and Y. Takeuchi, Global asymptotic stability of an SRI epidemic model with distributed time delay, Nonlinear Anal. 28 (1997) 1909-1921.
    • (1997) Nonlinear Anal , vol.28 , pp. 1909-1921
    • Beretta, E.1    Hara, T.2    Ma, W.3    Takeuchi, Y.4
  • 10
    • 0028487170 scopus 로고
    • A model for Chagas disease involving transmission by vectors and blood transfusion
    • Jorge X, Velasco-Hernandez, A model for Chagas disease involving transmission by vectors and blood transfusion, Theoret. Pop. Biol., 46 (1994) 1-31.
    • (1994) Theoret. Pop. Biol , vol.46 , pp. 1-31
    • Jorge, X.1    Velasco-Hernandez2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.