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Volumn 48, Issue 1, 2012, Pages 121-131

Dynamics of a multigroup SIR epidemic model with stochastic perturbation

Author keywords

Disease free equilibrium; Endemic equilibrium; Ergodicity; Stationary distribution; Stochastic SIR model

Indexed keywords

DISEASE-FREE EQUILIBRIUM; ENDEMIC EQUILIBRIUM; ERGODICITY; SIR MODEL; STATIONARY DISTRIBUTION;

EID: 84355161643     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2011.09.044     Document Type: Article
Times cited : (102)

References (21)
  • 1
    • 0018662325 scopus 로고
    • The influence of external real and white noise on the Lotka-Volterra model
    • L. Arnold, W. Horsthemke, and J.W. Stucki The influence of external real and white noise on the LotkaVolterra model Journal of Biomedical 21 1979 451 471 (Pubitemid 10217727)
    • (1979) BIOM. J. , vol.21 , Issue.5 , pp. 451-471
    • Arnold, L.1    Horsthemke, W.2    Stucki, J.W.3
  • 2
    • 14844315022 scopus 로고    scopus 로고
    • Ratio-dependent predator-prey model: Effect of environmental fluctuation and stability
    • DOI 10.1088/0951-7715/18/2/022
    • M. Bandyopadhyay, and J. Chattopadhyay Ratio-dependent predatorprey model: effect of environmental fluctuation and stability Nonlinearity 18 2005 913 936 (Pubitemid 40344893)
    • (2005) Nonlinearity , vol.18 , Issue.2 , pp. 913-936
    • Bandyopadhyay, M.1    Chattopadhyay, J.2
  • 3
    • 12844261174 scopus 로고
    • Global stability results for a multigroup SIR epidemic model
    • E. Beretta, and V. Capasso Global stability results for a multigroup SIR epidemic model Mathematical Ecology 1986 317 342
    • (1986) Mathematical Ecology , pp. 317-342
    • Beretta, E.1    Capasso, V.2
  • 5
    • 0347600676 scopus 로고    scopus 로고
    • Numerical simulation of stochastic ordinary differential equations in biomathematical modelling
    • M. Carletti, K. Burrage, and P.M. Burrage Numerical simulation of stochastic ordinary differential equations in biomathematical modelling Mathematics and Computers in Simulation 64 2004 271 277
    • (2004) Mathematics and Computers in Simulation , vol.64 , pp. 271-277
    • Carletti, M.1    Burrage, K.2    Burrage, P.M.3
  • 7
    • 27744440076 scopus 로고    scopus 로고
    • Global behavior of a multi-group SIS epidemic model with age structure
    • DOI 10.1016/j.jde.2004.10.009, PII S0022039604004036
    • Z.L. Feng, W.Z. Huang, and C. Castillo-Chavez Global behavior of a multi-group SIS epidemic model with age structure Journal of Differential Equations 218 2005 292 324 (Pubitemid 41614217)
    • (2005) Journal of Differential Equations , vol.218 , Issue.2 , pp. 292-324
    • Feng, Z.1    Huang, W.2    Castillo-Chavez, C.3
  • 9
    • 38049037455 scopus 로고    scopus 로고
    • Global stability of the endemic equilibrium of multigroup SIR epidemic models
    • H.B. Guo, M.Y. Li, and Z.S. Shuai Global stability of the endemic equilibrium of multigroup SIR epidemic models Canadian Applied Mathematics Quarterly 14 2006 259 284
    • (2006) Canadian Applied Mathematics Quarterly , vol.14 , pp. 259-284
    • Guo, H.B.1    Li, M.Y.2    Shuai, Z.S.3
  • 12
    • 0000723140 scopus 로고
    • Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission
    • W. Huang, K.L. Cooke, and C. Castillo-Chavez Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission SIAM Journal on Applied Mathematics 52 1992 835 854
    • (1992) SIAM Journal on Applied Mathematics , vol.52 , pp. 835-854
    • Huang, W.1    Cooke, K.L.2    Castillo-Chavez, C.3
  • 13
    • 67650529523 scopus 로고    scopus 로고
    • Analysis of a predatorprey model with modified LeslieGower and Holling-type II schemes with stochastic perturbation
    • C.Y. Ji, D.Q. Jiang, and N.Z. Shi Analysis of a predatorprey model with modified LeslieGower and Holling-type II schemes with stochastic perturbation Journal of Mathematical Analysis and Applications 359 2009 482 498
    • (2009) Journal of Mathematical Analysis and Applications , vol.359 , pp. 482-498
    • Ji, C.Y.1    Jiang, D.Q.2    Shi, N.Z.3
  • 15
    • 0008940705 scopus 로고    scopus 로고
    • Sex ratio features of two-group SIR model for asymmetric transmission of heterosexual disease
    • C. Koide, and H. Seno Sex ratio features of two-group SIR model for asymmetric transmission of heterosexual disease Mathematical and Computer Modelling 23 1996 67 91 (Pubitemid 126663299)
    • (1996) Mathematical and Computer Modelling , vol.23 , Issue.4 , pp. 67-91
    • Koide, C.1    Seno, H.2
  • 16
    • 70349785039 scopus 로고    scopus 로고
    • Global-stability problem for coupled systems of differential equations on networks
    • M.Y. Li, and Z.S. Shuai Global-stability problem for coupled systems of differential equations on networks Journal of Differential Equations 248 2010 1 20
    • (2010) Journal of Differential Equations , vol.248 , pp. 1-20
    • Li, M.Y.1    Shuai, Z.S.2
  • 21
    • 47049084345 scopus 로고    scopus 로고
    • Asymptotic properties of hybrid diffusion systems
    • C. Zhu, and G. Yin Asymptotic properties of hybrid diffusion systems SIAM Journal on Control and Optimization 46 2007 1155 1179
    • (2007) SIAM Journal on Control and Optimization , vol.46 , pp. 1155-1179
    • Zhu, C.1    Yin, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.