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GLOBAL STABILITY FOR A TWO-STRAIN VIRUS INFECTION MODEL WITH INTRA-CELLULAR DELAY AND IMMUNE RESPONSE

GLOBAL STABILITY FOR A TWO-STRAIN VIRUS INFECTION MODEL WITH INTRA-CELLULAR DELAY AND IMMUNE RESPONSE
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摘要 Considering the immune response and intracellular delay, we propose a two-strain virus model and investigate dynamics of this mathematical model. The global dynamics of the model are completely determined by introducing suitable Lyapunov functionals. We show that if the basic reproduction number is less than one, then both strains die out; but when the number is greater than one, at least one of the strains become endemic depending on the parameter values. The theoretical results provide some useful information on the dynamics of the two strains virus. Considering the immune response and intracellular delay, we propose a two-strain virus model and investigate dynamics of this mathematical model. The global dynamics of the model are completely determined by introducing suitable Lyapunov functionals. We show that if the basic reproduction number is less than one, then both strains die out; but when the number is greater than one, at least one of the strains become endemic depending on the parameter values. The theoretical results provide some useful information on the dynamics of the two strains virus.
出处 《Annals of Differential Equations》 2014年第1期85-96,共12页 微分方程年刊(英文版)
基金 supported by Scientific Research Fund of Hunan Provincial Education Department(13K012) National Natural Science Foundation of China(61102035)
关键词 virus dynamics immune selection DELAY stability virus dynamics immune selection delay stability
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参考文献28

  • 1R. Arnaout, M. Nowak and D. Wodarz, HIV-1 dynamics revisited: Biphasic decay by cytotoxic lymphocyte killing? Proc. Roy. Soc. Land. B, 265(2000),1347-1354.
  • 2S. Bonhoeffer, J.M. Coffin, M.A. Nowak, Human immunodeficiency virus drug therapy and virus load, J. Viral., 71(1997),3275-3278.
  • 3S. Bonhoeffer, R.M. May, G.M. Shaw and M.A. Nowak, Virus dynamics and drug therapy, Proc. Natl Acad. Sci. USA, 94(1997),6971-6976.
  • 4P. Borrow, H. Lewicki, H. Wei, M.S. Horwitz, N. Peffer, H. Meyers, J.A. Nelson, J.E. Gairin, B.H. Hahn, M.B. Oldstone, G.M. Shaw, Antiviral pressure exerted by HIV-specific cytotoxic T lymphocytes (CTLs) during primary infection demonstrated by rapid selection of CTL escape virus, Nat. Med., 3(1997),205-211.
  • 5A.A. Canabarro, I.M. Gleeria and M.L. Lyra, Periodic solutions and chaos in a non-linear model for the delayed celluar immune response, Physica A, 342(2004),234-241.
  • 6C. Connell McCluskey, Complete global stability for an SIR epidemic model with delaydistributed or discrete, Nonlinear Analysis: RWA, 11(2010),55-59.
  • 7J. Hale, S.M. Verduyn Lunel, Introduction to Functional Differential Equations, Vo1.99, Applied Mathematical Science, New York: Springer, 1993.
  • 8V. Herz, S. Bonhoeffer, R. Anderson, R. May, M. Nowak, Viral dynamics in vivo: Limitations on estimations on intracellular delay and virus decay, Proc. Natl. Acad. Sci. USA, 93(1996),7247-7251.
  • 9E.C. Holmes, L.Q. Zhang, P. Simmonds, C.A. Ludlam, A.J. Leigh Brown, Convergent and divergent sequence evolution in the surface envelop glycoprotein of HIV-1 within a single infected patient, Proc. Natl Acad. Sci. USA, 89(1992),4835-4839.
  • 10Y. Iwasa, F. Michor, M. Nowak, Some basic properties of immune selection, Journal of Theoretical Biology, 229(2004),179-188.

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