메뉴 건너뛰기




Volumn 388, Issue 18, 2009, Pages 3677-3686

Stability of SIRS system with random perturbations

Author keywords

Deterministic SIRS model; Lyapunov function; Stability in probability; Stochastic SIRS model

Indexed keywords

EPIDEMIOLOGY; LYAPUNOV FUNCTIONS; RANDOM PROCESSES; STOCHASTIC SYSTEMS; SYSTEM STABILITY;

EID: 67649440965     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2009.05.036     Document Type: Article
Times cited : (127)

References (13)
  • 1
    • 0000998185 scopus 로고
    • Contributions to the mathematical theory of epidemics
    • Kermack W.O., and Mckendrick A.G. Contributions to the mathematical theory of epidemics. Proc. R. Soc. A 115 (1927) 700-721
    • (1927) Proc. R. Soc. A , vol.115 , pp. 700-721
    • Kermack, W.O.1    Mckendrick, A.G.2
  • 2
    • 0023070210 scopus 로고
    • Dynamical behavior of epidemiological models with nonlinear incidence rate
    • Liu W.M., Hethcote H.W., and Levin S.A. Dynamical behavior of epidemiological models with nonlinear incidence rate. J. Math. Biol. 25 (1987) 359-380
    • (1987) J. Math. Biol. , vol.25 , pp. 359-380
    • Liu, W.M.1    Hethcote, H.W.2    Levin, S.A.3
  • 3
    • 0022298258 scopus 로고
    • Influence of nonlinear incidence rate upon the behavior of SIRS epidemiological models
    • Liu W.M., Levin S.A., and Iwasa Y. Influence of nonlinear incidence rate upon the behavior of SIRS epidemiological models. J. Math. Biol. 23 (1986) 187-204
    • (1986) J. Math. Biol. , vol.23 , pp. 187-204
    • Liu, W.M.1    Levin, S.A.2    Iwasa, Y.3
  • 4
    • 0142243570 scopus 로고    scopus 로고
    • Dynamical behavior for a stage-structured SIR infectious disease model
    • Xiao Y., Chen L., and Ven den Bosch F. Dynamical behavior for a stage-structured SIR infectious disease model. Nonlinear Anal. RWA 3 (2002) 175-190
    • (2002) Nonlinear Anal. RWA , vol.3 , pp. 175-190
    • Xiao, Y.1    Chen, L.2    Ven den Bosch, F.3
  • 5
    • 0029190838 scopus 로고
    • Global stability of an SIR epidemic model with time delay
    • Beretta E., and Takeuchi Y. Global stability of an SIR epidemic model with time delay. J. Math. Biol. 33 (1995) 250-260
    • (1995) J. Math. Biol. , vol.33 , pp. 250-260
    • Beretta, E.1    Takeuchi, Y.2
  • 6
    • 13644275724 scopus 로고    scopus 로고
    • Global properties of a delay SIR model with temporary immunity and nonlinear incidence rate
    • Kyrychko Y.N., and Blyuss K.B. Global properties of a delay SIR model with temporary immunity and nonlinear incidence rate. Nonlinear Anal. RWA 6 (2005) 495-507
    • (2005) Nonlinear Anal. RWA , vol.6 , pp. 495-507
    • Kyrychko, Y.N.1    Blyuss, K.B.2
  • 7
    • 19944381861 scopus 로고    scopus 로고
    • Stability of a stochastic SIR system
    • Tornatore E., Buccellato S.M., and Vetro P. Stability of a stochastic SIR system. Physica A 354 (2005) 111-126
    • (2005) Physica A , vol.354 , pp. 111-126
    • Tornatore, E.1    Buccellato, S.M.2    Vetro, P.3
  • 9
    • 0031997110 scopus 로고    scopus 로고
    • Stability of epidemic model with time delay influenced by stochastic perturbations
    • Beretta E., Kolmanovskii V., and Shaikhet L. Stability of epidemic model with time delay influenced by stochastic perturbations. Math. Comput. Simul. 45 (1998) 269-277
    • (1998) Math. Comput. Simul. , vol.45 , pp. 269-277
    • Beretta, E.1    Kolmanovskii, V.2    Shaikhet, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.