English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

A delayed model describing the dynamics of HIV (Human Immunodeficiency Virus)with CTL (Cytotoxic T Lymphocytes) immune response is investigated. The modelincludes four nonlinear differential equations describing the evolution ofuninfected, infected, free HIV viruses, and CTL immune response cells. Itincludes also intracellular delay and two treatments (two controls). While theaim of first treatment consists to block the viral proliferation, the role ofthe second is to prevent new infections. Firstly, we prove the well-posednessof the problem by establishing some positivity and boundedness results. Next,we give some conditions that insure the local asymptotic stability of theendemic and disease-free equilibria. Finally, an optimal control problem,associated with the intracellular delayed HIV model with CTL immune response,is posed and investigated. The problem is shown to have an unique solution,which is characterized via Pontryagin's minimum principle for problems withdelays. Numerical simulations are performed, confirming stability of thedisease-free and endemic equilibria and illustrating the effectiveness of thetwo incorporated treatments via optimal control.

Analysis and optimal control of an intracellular delayed HIV model with CTL immune response