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Volumn 34, Issue 1, 2014, Pages 90-93

The threshold of a stochastic SIRS epidemic model with saturated incidence

Author keywords

Extinction; Persistence; SIRS epidemic model; Stochastic differential equation; Threshold

Indexed keywords

EPIDEMIOLOGY; LIGHT EXTINCTION;

EID: 84901917506     PISSN: 08939659     EISSN: 18735452     Source Type: Journal    
DOI: 10.1016/j.aml.2013.11.002     Document Type: Article
Times cited : (181)

References (12)
  • 1
    • 78651240621 scopus 로고    scopus 로고
    • Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate
    • Y. Muroya, Y. Enatsu, and Y. Nakata Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate J. Math. Anal. Appl. 377 2011 1 14
    • (2011) J. Math. Anal. Appl. , vol.377 , pp. 1-14
    • Muroya, Y.1    Enatsu, Y.2    Nakata, Y.3
  • 2
    • 48049122424 scopus 로고    scopus 로고
    • Stability analysis and optimal vaccination of an SIR epidemic model
    • G. Zaman, Y.H. Kang, and I.H. Jung Stability analysis and optimal vaccination of an SIR epidemic model Biosystems 93 2008 240 249
    • (2008) Biosystems , vol.93 , pp. 240-249
    • Zaman, G.1    Kang, Y.H.2    Jung, I.H.3
  • 3
    • 77955768838 scopus 로고    scopus 로고
    • Analysis of an SIR model with bilinear incidence rate
    • J. Wang, J. Zhang, and Z. Jin Analysis of an SIR model with bilinear incidence rate Nonlinear Anal. RWA 11 2010 2390 2402
    • (2010) Nonlinear Anal. RWA , vol.11 , pp. 2390-2402
    • Wang, J.1    Zhang, J.2    Jin, Z.3
  • 4
    • 67649224128 scopus 로고    scopus 로고
    • Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays
    • X. Song, and Y. Jiang Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays Appl. Math. Comput. 214 2009 381 390
    • (2009) Appl. Math. Comput. , vol.214 , pp. 381-390
    • Song, X.1    Jiang, Y.2
  • 5
    • 84455169402 scopus 로고    scopus 로고
    • The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
    • Q. Yang, D. Jiang, N. Shi, and C. Ji The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence J. Math. Anal. Appl. 388 2012 248 271
    • (2012) J. Math. Anal. Appl. , vol.388 , pp. 248-271
    • Yang, Q.1    Jiang, D.2    Shi, N.3    Ji, C.4
  • 7
    • 80052811162 scopus 로고    scopus 로고
    • Threshold dynamics for compartmental epidemic models with impulses
    • Y. Yang, and Y. Xiao Threshold dynamics for compartmental epidemic models with impulses Nonlinear Anal. RWA 13 2012 224 234
    • (2012) Nonlinear Anal. RWA , vol.13 , pp. 224-234
    • Yang, Y.1    Xiao, Y.2
  • 8
    • 84860842742 scopus 로고    scopus 로고
    • Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays
    • Y. Enatsu, Y. Nakata, and Y. Muroya Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays Acta Math. Sci. 32B 3 2012 851 865
    • (2012) Acta Math. Sci. , vol.32 B , Issue.3 , pp. 851-865
    • Enatsu, Y.1    Nakata, Y.2    Muroya, Y.3
  • 10
    • 84873535867 scopus 로고    scopus 로고
    • Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
    • A. Lahrouz, and L. Omari Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence Statist. Probab. Lett. 83 2013 960 968
    • (2013) Statist. Probab. Lett. , vol.83 , pp. 960-968
    • Lahrouz, A.1    Omari, L.2
  • 11
    • 84883134834 scopus 로고    scopus 로고
    • The extinction and persistence of the stochastic SIS epidemic model with vaccination
    • Y. Zhao, D. Jiang, and D. O'Regan The extinction and persistence of the stochastic SIS epidemic model with vaccination Physica A 392 2013 4916 4927
    • (2013) Physica A , vol.392 , pp. 4916-4927
    • Zhao, Y.1    Jiang, D.2    O'Regan, D.3
  • 12
    • 84884866242 scopus 로고    scopus 로고
    • Dynamics of stochastically perturbed SIS epidemic model with vaccination
    • Y. Zhao, and D. Jiang Dynamics of stochastically perturbed SIS epidemic model with vaccination Abstr. Appl. Anal. 2013 2013 1 12
    • (2013) Abstr. Appl. Anal. , vol.2013 , pp. 1-12
    • Zhao, Y.1    Jiang, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.