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Volumn 67, Issue 2, 2006, Pages 337-353

Global stability for a virus dynamics model with nonlinear incidence of infection and removal

Author keywords

Basic reproduction number; Compartmental model; Endemic equilibrium; Global stability; Lyapunov functional; Virus propagation

Indexed keywords

DISEASES; FUNCTION EVALUATION; LYAPUNOV FUNCTIONS; NONLINEAR SYSTEMS; SYSTEM STABILITY; VIRUSES;

EID: 34247582734     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/060654876     Document Type: Article
Times cited : (123)

References (20)
  • 3
    • 0041474671 scopus 로고    scopus 로고
    • Virus dynamics: A global analysis
    • P. DE LEENHEER AND H. L. SMITH, Virus dynamics: A global analysis, SIAM J. Appl. Math., 63 (2003), pp. 1313-1327.
    • (2003) SIAM J. Appl. Math , vol.63 , pp. 1313-1327
    • DE LEENHEER, P.1    SMITH, H.L.2
  • 4
    • 0001143532 scopus 로고
    • Global stability in many species systems
    • B. S. GOH, Global stability in many species systems, Amer. Natur., 111 (1977), pp. 135-143.
    • (1977) Amer. Natur , vol.111 , pp. 135-143
    • GOH, B.S.1
  • 5
    • 0018610933 scopus 로고
    • Global stability of predator-prey interactions
    • G. W. HARRISON, Global stability of predator-prey interactions, J. Math. Biol., 8 (1979), pp. 159-171.
    • (1979) J. Math. Biol , vol.8 , pp. 159-171
    • HARRISON, G.W.1
  • 6
    • 84966222841 scopus 로고
    • Uniform persistence and repellors for maps
    • J. HOFBAUER AND J. W. H. So, Uniform persistence and repellors for maps, Proc. Amer. Math. Soc., 107 (1989), pp. 1137-1142.
    • (1989) Proc. Amer. Math. Soc , vol.107 , pp. 1137-1142
    • HOFBAUER, J.1    So, J.W.H.2
  • 7
    • 3042695365 scopus 로고    scopus 로고
    • Global properties of basic virus dynamics models
    • A. KOROBEINIKOV, Global properties of basic virus dynamics models, Bull. Math. Biol., 66 (2004), pp. 879-883.
    • (2004) Bull. Math. Biol , vol.66 , pp. 879-883
    • KOROBEINIKOV, A.1
  • 8
    • 27244439640 scopus 로고    scopus 로고
    • A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence
    • A. KOROBEINIKOV AND P. K. MAINI, A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence, Math. Biosci. Eng., 1 (2004), pp. 57-60.
    • (2004) Math. Biosci. Eng , vol.1 , pp. 57-60
    • KOROBEINIKOV, A.1    MAINI, P.K.2
  • 9
    • 25144476559 scopus 로고    scopus 로고
    • Non-linear incidence and stability of infectious disease models
    • A. KOROBEINIKOV AND P. K. MAINI, Non-linear incidence and stability of infectious disease models, Math. Med. Biol., 22 (2005), pp. 113-128.
    • (2005) Math. Med. Biol , vol.22 , pp. 113-128
    • KOROBEINIKOV, A.1    MAINI, P.K.2
  • 11
    • 0032812296 scopus 로고    scopus 로고
    • Global dynamics of a SEIR model with a varying total population size
    • M. Y. LI, J. R. GRAEF, L. K. WANG, AND J. KARSAI, Global dynamics of a SEIR model with a varying total population size, Math. Biosci., 160 (1999), pp. 191-213.
    • (1999) Math. Biosci , vol.160 , pp. 191-213
    • LI, M.Y.1    GRAEF, J.R.2    WANG, L.K.3    KARSAI, J.4
  • 12
    • 0028817626 scopus 로고
    • Global stability for the SEIR model in epidemiology
    • M. Y. LI AND J. S. MULDOWNEY, Global stability for the SEIR model in epidemiology, Math. Biosci., 125 (1995), pp. 155-164.
    • (1995) Math. Biosci , vol.125 , pp. 155-164
    • LI, M.Y.1    MULDOWNEY, J.S.2
  • 16
    • 0029967721 scopus 로고    scopus 로고
    • HIV-1 dynamics in vivo: Virion clearance rate, infected cell life-span, and viral generation time
    • A. S. PERELSON, A. U. NEUMANN, M. MARKOWITZ, J. M. LEONARD, AND D. D. HO, HIV-1 dynamics in vivo: Virion clearance rate, infected cell life-span, and viral generation time Science, 271 (1996), pp. 1582-1586.
    • (1996) Science , vol.271 , pp. 1582-1586
    • PERELSON, A.S.1    NEUMANN, A.U.2    MARKOWITZ, M.3    LEONARD, J.M.4    HO, D.D.5
  • 17
    • 0036371443 scopus 로고    scopus 로고
    • Modelling viral and immune system dynamics
    • A. S. PERELSON, Modelling viral and immune system dynamics, Nat. Rev. Immunol., 2 (2002), pp. 28-36.
    • (2002) Nat. Rev. Immunol , vol.2 , pp. 28-36
    • PERELSON, A.S.1
  • 18
    • 0001918317 scopus 로고    scopus 로고
    • Mathematical analysis of HIV-1 dynamics in vivo
    • A. S. PERELSON AND P. W. NELSON, Mathematical analysis of HIV-1 dynamics in vivo, SIAM Rev., 41 (1999), pp. 3-44.
    • (1999) SIAM Rev , vol.41 , pp. 3-44
    • PERELSON, A.S.1    NELSON, P.W.2
  • 19
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • P. VAN DEN DRIESSCHE AND J. WATMOUGH, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180 (2002), pp. 29-48.
    • (2002) Math. Biosci , vol.180 , pp. 29-48
    • VAN, P.1    DRIESSCHE, D.2    WATMOUGH, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.