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Mathematical model of an antiretroviral therapy to HIV via Filippov theory

Author

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  • Chieregato Vicentin, Daniel
  • Mancera, Paulo F. A.
  • Carvalho, Tiago
  • Fernando Gonçalves, Luiz

Abstract

This work aims to study some qualitative features of piecewise smooth systems applied to the dynamics of the Human Immunodeficiency Virus (HIV). The application of sliding mode control and strategies of structured treatment interruptions in HIV is a new and challenging research area, which deserves attention and improvement. We investigate the dynamic behavior of the discontinuous mathematical model and we observe the occurrence of typical singularities.

Suggested Citation

  • Chieregato Vicentin, Daniel & Mancera, Paulo F. A. & Carvalho, Tiago & Fernando Gonçalves, Luiz, 2020. "Mathematical model of an antiretroviral therapy to HIV via Filippov theory," Applied Mathematics and Computation, Elsevier, vol. 387(C).
    • Handle: RePEc:eee:apmaco:v:387:y:2020:i:c:s009630032030148x
    DOI: 10.1016/j.amc.2020.125179
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    References listed on IDEAS

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    1. Rodrigues, D.S. & Mancera, P.F.A. & Carvalho, T. & Gonçalves, L.F., 2019. "A mathematical model for chemoimmunotherapy of chronic lymphocytic leukemia," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 118-133.
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    1. Rodrigues, Diego S. & Mancera, Paulo F.A. & Carvalho, Tiago & Gonçalves, Luiz Fernando, 2020. "Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities," Applied Mathematics and Computation, Elsevier, vol. 387(C).

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