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Dynamics of a Class of HIV Infection Models with Cure of Infected Cells in Eclipse Stage

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Abstract

In this paper, we propose two HIV infection models with specific nonlinear incidence rate by including a class of infected cells in the eclipse phase. The first model is described by ordinary differential equations (ODEs) and generalizes a set of previously existing models and their results. The second model extends our ODE model by taking into account the diffusion of virus. Furthermore, the global stability of both models is investigated by constructing suitable Lyapunov functionals. Finally, we check our theoretical results with numerical simulations.

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Acknowledgments

We would like to thank the editor and three anonymous referees for their very helpful comments and suggestions that greatly improved the quality of this work.

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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, El Mehdi Lotfi, Khalid Hattaf & 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. El Mehdi Lotfi
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  3. Khalid Hattaf
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  4. Noura Yousfi
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Correspondence to Khalid Hattaf.

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Maziane, M., Lotfi, E.M., Hattaf, K. et al. Dynamics of a Class of HIV Infection Models with Cure of Infected Cells in Eclipse Stage. Acta Biotheor 63, 363–380 (2015). https://doi.org/10.1007/s10441-015-9263-y

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  • DOI: https://doi.org/10.1007/s10441-015-9263-y

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