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Global Stability of a Virus Infection Model with Time Delay and Absorption

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  • Xiaohong Tian
  • Rui Xu

Abstract

In this paper, a virus infection model with time delay and absorption is studied. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the model is established. By using comparison arguments, it is shown that the infection free equilibrium is globally asymptotically stable when the basic reproduction ratio is less than unity. When the basic reproduction ratio is greater than unity, sufficient conditions are derived for the global stability of the virus-infected equilibrium. Numerical simulations are carried out to illustrate the theoretical results.

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  • Xiaohong Tian & Rui Xu, 2011. "Global Stability of a Virus Infection Model with Time Delay and Absorption," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-20, June.
    • Handle: RePEc:hin:jnddns:152415
    DOI: 10.1155/2011/152415
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    References listed on IDEAS

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    1. Xu, Rui & Ma, Zhien, 2008. "Stability and Hopf bifurcation in a ratio-dependent predator–prey system with stage structure," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 669-684.
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    Cited by:

    1. Elaiw, Ahmed M. & Al Agha, Afnan D., 2019. "Stability of a general HIV-1 reaction–diffusion model with multiple delays and immune response," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).

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