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A Viral Model with Intracellular Delay and Humoral Immunity

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Abstract

In this paper, a classical of virus dynamics model with intracellular delay and humoral immunity is introduced. By using suitable Lyapunov functionals and the Lasalle invariant principle, the global stability of the equilibria is proved. Numerical simulations are presented to illustrate our results. The effect of delay and humoral immunity is also discussed.

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Acknowledgments

This work was partially supported by the NNSF of China(11461041), the NSF of Gansu Province of China (148RJZA024) and the Development Program for HongLiu Distinguished Young Scholars in Lanzhou University of Technology.

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Correspondence to Hai-Feng Huo.

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Communicated by Ataharul M. Islam.

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Xiang, H., Tang, YL. & Huo, HF. A Viral Model with Intracellular Delay and Humoral Immunity. Bull. Malays. Math. Sci. Soc. 40, 1011–1023 (2017). https://doi.org/10.1007/s40840-016-0326-2

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  • DOI: https://doi.org/10.1007/s40840-016-0326-2

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