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Global stability for a class of HIV infection models with cure of infected cells in eclipse stage and CTL immune response

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Abstract

The aim of this work is to investigate the global dynamical behaviors of two human immunodeficiency virus infection models with cure of infected cells in eclipse stage and Cytotoxic T Lymphocytes (CTL) immune response. The first model is formalized by ordinary differential equations and the second is described by partial differential equations. By constructing appropriate Lyapunov functionals, the global stability of both models is established and characterized by two threshold parameters that are the basic reproduction number \(R_{0}\) and the CTL immune response reproduction number \(R_{1}\). Furthermore, the models and results presented in many previous studies are extended and improved.

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Acknowledgments

We would like to express their gratitude to the editor and the anonymous referees for their constructive comments and suggestions, which have improved the quality of the manuscript.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University, P.O Box 7955, Sidi Othman, Casablanca, Morocco

    Mehdi Maziane & Noura Yousfi

  2. Centre Régional des Métiers de l’Education et de la Formation (CRMEF), 20340, Derb Ghalef, Casablanca, Morocco

    Khalid Hattaf

Authors
  1. Mehdi Maziane
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  2. Khalid Hattaf
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  3. Noura Yousfi
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Correspondence to Khalid Hattaf.

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Maziane, M., Hattaf, K. & Yousfi, N. Global stability for a class of HIV infection models with cure of infected cells in eclipse stage and CTL immune response. Int. J. Dynam. Control 5, 1035–1045 (2017). https://doi.org/10.1007/s40435-016-0268-4

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  • DOI: https://doi.org/10.1007/s40435-016-0268-4

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