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Dynamics of a viral infection model with delayed CTL response and immune circadian rhythm

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  • Bai, Zhenguo
  • Zhou, Yicang

Abstract

This paper studies the global dynamics of a viral infection model that takes into account circadian rhythm and time delay in the CTL response. It is shown that the basic reproduction numbers, R0 and R1, determine the outcome of viral infection. Numerical simulations demonstrate that the changes in the amplitude of lytic component can generate a variety of dynamical patterns, ranging from simple daily oscillation to multi-day dynamics and eventually chaos, whereas time delay can alter the period of oscillation for the larger level of periodic forcing. These results can help to explain the viral oscillation behaviors, which were observed in chronic HBV and HCV infection patients.

Suggested Citation

  • Bai, Zhenguo & Zhou, Yicang, 2012. "Dynamics of a viral infection model with delayed CTL response and immune circadian rhythm," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1133-1139.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:9:p:1133-1139
    DOI: 10.1016/j.chaos.2012.06.001
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    References listed on IDEAS

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    1. Ji, Yu & Min, Lequan & Zheng, Yu & Su, Yongmei, 2010. "A viral infection model with periodic immune response and nonlinear CTL response," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(12), pages 2309-2316.
    2. Canabarro, A.A. & Gléria, I.M. & Lyra, M.L., 2004. "Periodic solutions and chaos in a non-linear model for the delayed cellular immune response," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(1), pages 234-241.
    3. Wang, Kaifa & Wang, Wendi & Liu, Xianning, 2006. "Viral infection model with periodic lytic immune response," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 90-99.
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    Cited by:

    1. Zhang, Tongqian & Xu, Xinna & Wang, Xinzeng, 2023. "Dynamic analysis of a cytokine-enhanced viral infection model with time delays and CTL immune response," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).

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