메뉴 건너뛰기




Volumn 64, Issue , 2017, Pages 223-230

Permanence and extinction of certain stochastic SIR models perturbed by a complex type of noises

Author keywords

Ergodicity; Extinction; Permanence; Stationary distribution

Indexed keywords

LIGHT EXTINCTION; STOCHASTIC SYSTEMS;

EID: 84991573902     PISSN: 08939659     EISSN: 18735452     Source Type: Journal    
DOI: 10.1016/j.aml.2016.09.012     Document Type: Article
Times cited : (49)

References (13)
  • 1
    • 84976871814 scopus 로고    scopus 로고
    • Classification of the asymptotic behavior of a stochastic SIR model
    • [1] Dieu, N.T., Dang, N.H., Du, N.H., Yin, G., Classification of the asymptotic behavior of a stochastic SIR model. SIAM J. Appl. Dyn. Syst. 15:2 (2016), 1062–1084.
    • (2016) SIAM J. Appl. Dyn. Syst. , vol.15 , Issue.2 , pp. 1062-1084
    • Dieu, N.T.1    Dang, N.H.2    Du, N.H.3    Yin, G.4
  • 2
    • 70349162754 scopus 로고    scopus 로고
    • Global properties for virus dynamics model with Beddington–DeAngelis functional response
    • [2] Huang, G., Wanbiao, M., Yasuhiro, T., Global properties for virus dynamics model with Beddington–DeAngelis functional response. Appl. Math. Lett. 22:11 (2009), 1690–1693.
    • (2009) Appl. Math. Lett. , vol.22 , Issue.11 , pp. 1690-1693
    • Huang, G.1    Wanbiao, M.2    Yasuhiro, T.3
  • 3
    • 31244431623 scopus 로고    scopus 로고
    • Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
    • [3] Korobeinikov, A., Wake, G.C., Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models. Appl. Math. Lett. 15:8 (2002), 955–960.
    • (2002) Appl. Math. Lett. , vol.15 , Issue.8 , pp. 955-960
    • Korobeinikov, A.1    Wake, G.C.2
  • 4
    • 77955420074 scopus 로고    scopus 로고
    • Permanence of a discrete SIRS epidemic model with time delays
    • [4] Sekiguchi, M., Permanence of a discrete SIRS epidemic model with time delays. Appl. Math. Lett. 23:10 (2010), 1280–1285.
    • (2010) Appl. Math. Lett. , vol.23 , Issue.10 , pp. 1280-1285
    • Sekiguchi, M.1
  • 5
    • 84936931405 scopus 로고    scopus 로고
    • Global exponential stability of a delay reduced SIR model for migrant workers’ home residence
    • [5] Zhang, H., Liu, X., Yang, M., Global exponential stability of a delay reduced SIR model for migrant workers’ home residence. Appl. Math. Lett. 50 (2015), 119–125.
    • (2015) Appl. Math. Lett. , vol.50 , pp. 119-125
    • Zhang, H.1    Liu, X.2    Yang, M.3
  • 6
    • 84923789423 scopus 로고    scopus 로고
    • Analysis of the deterministic and stochastic SIRS epidemic models with nonlinear incidence
    • [6] Liu, Q., Chen, Q., Analysis of the deterministic and stochastic SIRS epidemic models with nonlinear incidence. Physica A 428 (2015), 140–153.
    • (2015) Physica A , vol.428 , pp. 140-153
    • Liu, Q.1    Chen, Q.2
  • 7
    • 79952335417 scopus 로고    scopus 로고
    • Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model
    • [7] Lahrouz, A., Omari, L., Kiouach, D., Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model. Nonlinear Anal. Model. Control 16:1 (2011), 59–76.
    • (2011) Nonlinear Anal. Model. Control , vol.16 , Issue.1 , pp. 59-76
    • Lahrouz, A.1    Omari, L.2    Kiouach, D.3
  • 8
    • 84925489992 scopus 로고    scopus 로고
    • Stochastic asymptotic stability of SIR model with variable diffusion rates
    • [8] Schurz, H., Tosun, K., Stochastic asymptotic stability of SIR model with variable diffusion rates. J. Dynam. Differential Equations 27 (2015), 69–82.
    • (2015) J. Dynam. Differential Equations , vol.27 , pp. 69-82
    • Schurz, H.1    Tosun, K.2
  • 9
    • 84908507682 scopus 로고    scopus 로고
    • Threshold behaviour of a stochastic SIR model
    • [9] Ji, C., Jiang, D., Threshold behaviour of a stochastic SIR model. Appl. Math. Model. 38:21–22 (2014), 5067–5079.
    • (2014) Appl. Math. Model. , vol.38 , Issue.21-22 , pp. 5067-5079
    • Ji, C.1    Jiang, D.2
  • 10
    • 84916882895 scopus 로고    scopus 로고
    • Threshold behavior in a stochastic SIS epidemic model with standard incidence
    • [10] Lin, Y., Jiang, D., Threshold behavior in a stochastic SIS epidemic model with standard incidence. J. Dynam. Differential Equations 26:4 (2014), 1079–1094.
    • (2014) J. Dynam. Differential Equations , vol.26 , Issue.4 , pp. 1079-1094
    • Lin, Y.1    Jiang, D.2
  • 11
    • 84901917506 scopus 로고    scopus 로고
    • The threshold of a stochastic SIRS epidemic model with saturated incidence
    • [11] Zhao, Y., Jiang, D., The threshold of a stochastic SIRS epidemic model with saturated incidence. Appl. Math. Lett. 34 (2014), 90–93.
    • (2014) Appl. Math. Lett. , vol.34 , pp. 90-93
    • Zhao, Y.1    Jiang, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.