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Mathematical Analysis of the Dynamics of HIV Infection with CTL Immune Response and Cure Rate

In: Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics

Author

Listed:
  • Sanaa Harroudi

    (University Hassan II of Casablanca, Laboratory of Mathematics and Applications, Faculty of Sciences and Technologies)

  • Karam Allali

    (University Hassan II of Casablanca, Laboratory of Mathematics and Applications, Faculty of Sciences and Technologies)

Abstract

The mathematical model of the human immunodeficiency virus (HIV) pathogenesis with CTL (cytotoxic T lymphocytes) immune response and cure rate of infected cells is investigated. The model includes four nonlinear differential equations describing the evolution of uninfected cells, infected cells, free HIV viruses, and CTL immune response cells. The positivity and boundedness of solutions are established. The local stability for the disease-free steady state and for the infection steady states is studied. Finally, numerical simulations are performed to support our theoretical findings and to show the effectiveness of the cure rate in reducing the severity of the disease.

Suggested Citation

  • Sanaa Harroudi & Karam Allali, 2019. "Mathematical Analysis of the Dynamics of HIV Infection with CTL Immune Response and Cure Rate," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics, pages 59-70, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-23433-1_5
    DOI: 10.1007/978-3-030-23433-1_5
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