Modelling the Adaptive Immune Response in HIV Infection with Three Saturated Rates and Therapy

Karam Allali ()
Additional contact information
Karam Allali: University Hassan II of Casablanca, Laboratory Mathematics and Applications, Department of Mathematics, Faculty of Sciences and Technologies

A chapter in Trends in Biomathematics: Modeling, Optimization and Computational Problems, 2018, pp 265-282 from Springer

Abstract: Abstract In this work, we study a mathematical model describing the human immunodeficiency virus (HIV) with the adaptive immune response, three saturated rates and therapy. The considered adaptive immunity is constituted by cytotoxic T-lymphocytes (CTL) immune cells and antibodies; the three saturated rates describe the viral infection, the CTLs and the antibodies proliferations. Two types of treatments are integrated into the model; the objective of the first one is to reduce the infected cells number, however the role of the second is to obstruct the free viruses expansion. The positivity and boundedness of solutions are proved. The local stability of the disease free steady state and the infection steady states is studied. Numerical simulations are performed in order to show the behavior of solutions, the effect of the antibodies proliferation saturated rate and the effectiveness of the incorporated therapies in controlling HIV replication.

Keywords: Saturation Rate; Human Immunodeficiency Virus (HIV); Infected Steady State; Disease-free Equilibrium; Antibody Proliferation (search for similar items in EconPapers)
Date: 2018
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-91092-5_18

Ordering information: This item can be ordered from
http://www.springer.com/9783319910925

DOI: 10.1007/978-3-319-91092-5_18

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().