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Uniform Persistence and Global Attractivity in a Delayed Virus Dynamic Model with Apoptosis and Both Virus-to-Cell and Cell-to-Cell Infections

Author

Listed:
  • Meng Li

    (School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China)

  • Ke Guo

    (School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China)

  • Wanbiao Ma

    (School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China)

Abstract

In this paper, we study the global dynamics of a delayed virus dynamics model with apoptosis and both virus-to-cell and cell-to-cell infections. When the basic reproduction number R 0 > 1 , we obtain the uniform persistence of the model, and give some explicit expressions of the ultimate upper and lower bounds of any positive solution of the model. In addition, by constructing the appropriate Lyapunov functionals, we obtain some sufficient conditions for the global attractivity of the disease-free equilibrium and the chronic infection equilibrium of the model. Our results extend existing related works.

Suggested Citation

  • Meng Li & Ke Guo & Wanbiao Ma, 2022. "Uniform Persistence and Global Attractivity in a Delayed Virus Dynamic Model with Apoptosis and Both Virus-to-Cell and Cell-to-Cell Infections," Mathematics, MDPI, vol. 10(6), pages 1-16, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:975-:d:774205
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    References listed on IDEAS

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    1. Tongqian Zhang & Junling Wang & Yi Song & Zhichao Jiang, 2020. "Dynamical Analysis of a Delayed HIV Virus Dynamic Model with Cell-to-Cell Transmission and Apoptosis of Bystander Cells," Complexity, Hindawi, vol. 2020, pages 1-12, August.
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    Cited by:

    1. Quanxin Zhu, 2022. "Nonlinear Systems: Dynamics, Control, Optimization and Applications to the Science and Engineering," Mathematics, MDPI, vol. 10(24), pages 1-2, December.

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