메뉴 건너뛰기




Volumn 469, Issue , 2017, Pages 706-717

Dynamics of a stochastic HIV-1 infection model with logistic growth

Author keywords

Extinction; Lyapunov function; Stationary distribution; Stochastic HIV 1 infection model

Indexed keywords

LIGHT EXTINCTION; LYAPUNOV FUNCTIONS; STOCHASTIC SYSTEMS;

EID: 85002894367     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2016.11.078     Document Type: Article
Times cited : (39)

References (25)
  • 2
    • 0001918317 scopus 로고    scopus 로고
    • Mathematical analysis of HIV-I dynamics in vivo
    • [2] Perelson, A.S., Nelson, P.W., Mathematical analysis of HIV-I dynamics in vivo. SIAM Rev. 41 (1999), 3–44.
    • (1999) SIAM Rev. , vol.41 , pp. 3-44
    • Perelson, A.S.1    Nelson, P.W.2
  • 3
    • 0029967721 scopus 로고    scopus 로고
    • HIV-1 dynamics in vivo virion clearance rate, infected cell life-span, and viral generation time
    • [3] Perelson, A.S., Neumann, A.U., Markowitz, M., Leonardy, J.M., HIV-1 dynamics in vivo virion clearance rate, infected cell life-span, and viral generation time. Science 271 (1996), 1582–1586.
    • (1996) Science , vol.271 , pp. 1582-1586
    • Perelson, A.S.1    Neumann, A.U.2    Markowitz, M.3    Leonardy, J.M.4
  • 6
    • 0036715428 scopus 로고    scopus 로고
    • Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression
    • [6] Wang, L., Li, M.Y., Kirschner, D., Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression. Math. Biosci. 179 (2002), 207–217.
    • (2002) Math. Biosci. , vol.179 , pp. 207-217
    • Wang, L.1    Li, M.Y.2    Kirschner, D.3
  • 8
    • 0036297271 scopus 로고    scopus 로고
    • Mathematical analysis of delay differential equation models of HIV-1 infection
    • [8] Nelson, P.W., Perelson, A.S., Mathematical analysis of delay differential equation models of HIV-1 infection. Math. Biosci. 179 (2002), 73–94.
    • (2002) Math. Biosci. , vol.179 , pp. 73-94
    • Nelson, P.W.1    Perelson, A.S.2
  • 10
    • 0000317840 scopus 로고    scopus 로고
    • Using mathematics to understand HIV immune dynamics
    • [10] Kirschner, D., Using mathematics to understand HIV immune dynamics. Notices Amer. Math. Soc. 43 (1996), 191–202.
    • (1996) Notices Amer. Math. Soc. , vol.43 , pp. 191-202
    • Kirschner, D.1
  • 11
    • 0041474671 scopus 로고    scopus 로고
    • Virus dynamics: a global analysis
    • [11] De Leenheer, P., Smith, H.L., Virus dynamics: a global analysis. SIAM J. Appl. Math. 63 (2003), 1313–1327.
    • (2003) SIAM J. Appl. Math. , vol.63 , pp. 1313-1327
    • De Leenheer, P.1    Smith, H.L.2
  • 12
    • 84923789423 scopus 로고    scopus 로고
    • Analysis of the deterministic and stochastic SIRS epidemic models with nonlinear incidence
    • [12] 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
  • 13
    • 84908507682 scopus 로고    scopus 로고
    • Threshold behaviour of a stochastic SIR model
    • [13] Ji, C., Jiang, D., Threshold behaviour of a stochastic SIR model. Appl. Math. Model. 38 (2014), 5067–5079.
    • (2014) Appl. Math. Model. , vol.38 , pp. 5067-5079
    • Ji, C.1    Jiang, D.2
  • 14
    • 84904883586 scopus 로고    scopus 로고
    • Survival and stationary distribution of a SIR epidemic model with stochastic perturbations
    • [14] Zhou, Y., Zhang, W., Yuan, S., Survival and stationary distribution of a SIR epidemic model with stochastic perturbations. Appl. Math. Comput. 244 (2014), 118–131.
    • (2014) Appl. Math. Comput. , vol.244 , pp. 118-131
    • Zhou, Y.1    Zhang, W.2    Yuan, S.3
  • 15
    • 84864974814 scopus 로고    scopus 로고
    • The behavior of an SIR epidemic model with stochastic perturbation
    • [15] Ji, C., Jiang, D., Shi, N., The behavior of an SIR epidemic model with stochastic perturbation. Stoch. Anal. Appl. 30 (2012), 755–773.
    • (2012) Stoch. Anal. Appl. , vol.30 , pp. 755-773
    • Ji, C.1    Jiang, D.2    Shi, N.3
  • 16
    • 79955469778 scopus 로고    scopus 로고
    • Asymptotic behavior of global positive solution to a stochastic SIR model
    • [16] Jiang, D., Yu, J., Ji, C., Shi, N., Asymptotic behavior of global positive solution to a stochastic SIR model. Math. Comput. Modelling 54 (2011), 221–232.
    • (2011) Math. Comput. Modelling , vol.54 , pp. 221-232
    • Jiang, D.1    Yu, J.2    Ji, C.3    Shi, N.4
  • 17
    • 84887260929 scopus 로고    scopus 로고
    • Stationary distribution of a stochastic SIS epidemic model with vaccination
    • [17] Lin, Y., Jiang, D., Wang, S., Stationary distribution of a stochastic SIS epidemic model with vaccination. Physica A 394 (2014), 187–197.
    • (2014) Physica A , vol.394 , pp. 187-197
    • Lin, Y.1    Jiang, D.2    Wang, S.3
  • 18
    • 84862532805 scopus 로고    scopus 로고
    • Dynamics of an HIV-I infection model with cell-mediated immune response and stochastic perturbation
    • 1250039
    • [18] C. Ji, D. Jiang, Dynamics of an HIV-I infection model with cell-mediated immune response and stochastic perturbation, Int. J. Biomath. Vol. 5, No. 5, 1250039 (25 pages), http://dx.doi.org/10.1142/S1793524511001817.
    • Int. J. Biomath. , vol.5 , Issue.5 , pp. 25
    • Ji, C.1    Jiang, D.2
  • 19
    • 84892851957 scopus 로고    scopus 로고
    • SVIR epidemic model with stochastic perturbation
    • [19] Tornatore, E., Vetro, P., Buccellato, S.M., SVIR epidemic model with stochastic perturbation. Neural Comput. Appl. 24 (2014), 309–315.
    • (2014) Neural Comput. Appl. , vol.24 , pp. 309-315
    • Tornatore, E.1    Vetro, P.2    Buccellato, S.M.3
  • 21
    • 0003561266 scopus 로고    scopus 로고
    • Stochastic Differential Equations and Applications
    • Horwood Chichester
    • [21] Mao, X., Stochastic Differential Equations and Applications. 1997, Horwood, Chichester.
    • (1997)
    • Mao, X.1
  • 22
    • 0242563961 scopus 로고    scopus 로고
    • Environmental noise suppresses explosion in population dynamics
    • [22] Mao, X., Marion, G., Renshaw, E., Environmental noise suppresses explosion in population dynamics. Stochastic Process. Appl. 97 (2002), 95–110.
    • (2002) Stochastic Process. Appl. , vol.97 , pp. 95-110
    • Mao, X.1    Marion, G.2    Renshaw, E.3
  • 23
    • 0003649950 scopus 로고
    • Stochastic Stability of Differential Equations
    • Sijthoff Noordhoff Alphen aan den Rijn, The Netherlands
    • [23] Has'minskii, R.Z., Stochastic Stability of Differential Equations. 1980, Sijthoff Noordhoff, Alphen aan den Rijn, The Netherlands.
    • (1980)
    • Has'minskii, R.Z.1
  • 24
    • 0004330635 scopus 로고    scopus 로고
    • Statistical Inference for Ergodic Diffusion Processes
    • Springer London
    • [24] Kutoyants, A.Y., Statistical Inference for Ergodic Diffusion Processes. 2003, Springer, London.
    • (2003)
    • Kutoyants, A.Y.1
  • 25
    • 84972578664 scopus 로고
    • A comparison theorem for solutions of stochastic differential equations and its applications
    • [25] Ikeda, N., Watanabe, S., A comparison theorem for solutions of stochastic differential equations and its applications. Osaka J. Math. 14 (1977), 619–633.
    • (1977) Osaka J. Math. , vol.14 , pp. 619-633
    • Ikeda, N.1    Watanabe, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.