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Global stability of a class of virus dynamics models with general incidence rate and multitarget cells

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Abstract

In this paper, stability dynamics of two viral infection models with antibody immune response are formulated and analyzed. We assume that the virus infects n classes of target cells. The incidence rate is given by a general nonlinear function which satisfies a set of reasonable conditions. The second model takes into account two forms of infected cells, namely latently and actively infected cells. Nonnegativity and boundedness properties of the proposed models are proven. The application of Lyapunov’s direct method and LaSalle’s invariance principle greatly enables us to prove the global asymptotic stability of the steady states of the models. The theoretical results are validated by the establishment of the numerical simulations.

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Acknowledgements

The authors are grateful to the referees for their critical remarks and valuable suggestions which helped to improve the presentation of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    Taofeek O. Alade & Saud M. Alsulami

  2. Department of Mathematics, Faculty of Applied Science, Thamar University, Dhamar, Yemen

    Shafeek A. Ghaleb

Authors
  1. Taofeek O. Alade
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  2. Shafeek A. Ghaleb
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  3. Saud M. Alsulami
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Correspondence to Taofeek O. Alade.

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Alade, T.O., Ghaleb, S.A. & Alsulami, S.M. Global stability of a class of virus dynamics models with general incidence rate and multitarget cells. Eur. Phys. J. Plus 136, 865 (2021). https://doi.org/10.1140/epjp/s13360-021-01876-0

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