Global analysis for an HIV infection model with CTL immune response and infected cells in eclipse phase

Karam Allali, Jaouad Danane, Yang Kuang

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A modified mathematical model describing the human immunodeficiency virus (HIV) pathogenesis with cytotoxic T-lymphocytes (CTL) and infected cells in eclipse phase is presented and studied in this paper. The model under consideration also includes a saturated rate describing viral infection. First, the positivity and boundedness of solutions for nonnegative initial data are proved. Next, the global stability of the disease free steady state and the endemic steady states are established depending on the basic reproduction number R0 and the CTL immune response reproduction number RCTL . Moreover, numerical simulations are performed in order to show the numerical stability for each steady state and to support our theoretical findings. Our model based findings suggest that system immunity represented by CTL may control viral replication and reduce the infection.

Original languageEnglish (US)
Article number861
JournalApplied Sciences (Switzerland)
Volume7
Issue number8
DOIs
StatePublished - Aug 21 2017

Fingerprint

human immunodeficiency virus
T-cells
lymphocytes
eclipses
infectious diseases
Viruses
cells
pathogenesis
numerical stability
Convergence of numerical methods
immunity
mathematical models
Mathematical models
Computer simulation
simulation

Keywords

  • CTL immune response
  • Global stability
  • HIV infection model
  • Viral dynamics

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Process Chemistry and Technology
  • Computer Science Applications
  • Engineering(all)
  • Materials Science(all)
  • Instrumentation

Cite this

Global analysis for an HIV infection model with CTL immune response and infected cells in eclipse phase. / Allali, Karam; Danane, Jaouad; Kuang, Yang.

In: Applied Sciences (Switzerland), Vol. 7, No. 8, 861, 21.08.2017.

Research output: Contribution to journalArticle

@article{ae7566aa184749639a9bf8136578779b,
title = "Global analysis for an HIV infection model with CTL immune response and infected cells in eclipse phase",
abstract = "A modified mathematical model describing the human immunodeficiency virus (HIV) pathogenesis with cytotoxic T-lymphocytes (CTL) and infected cells in eclipse phase is presented and studied in this paper. The model under consideration also includes a saturated rate describing viral infection. First, the positivity and boundedness of solutions for nonnegative initial data are proved. Next, the global stability of the disease free steady state and the endemic steady states are established depending on the basic reproduction number R0 and the CTL immune response reproduction number RCTL . Moreover, numerical simulations are performed in order to show the numerical stability for each steady state and to support our theoretical findings. Our model based findings suggest that system immunity represented by CTL may control viral replication and reduce the infection.",
keywords = "CTL immune response, Global stability, HIV infection model, Viral dynamics",
author = "Karam Allali and Jaouad Danane and Yang Kuang",
year = "2017",
month = "8",
day = "21",
doi = "10.3390/app7080861",
language = "English (US)",
volume = "7",
journal = "Applied Sciences (Switzerland)",
issn = "2076-3417",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "8",

}

TY - JOUR

T1 - Global analysis for an HIV infection model with CTL immune response and infected cells in eclipse phase

AU - Allali, Karam

AU - Danane, Jaouad

AU - Kuang, Yang

PY - 2017/8/21

Y1 - 2017/8/21

N2 - A modified mathematical model describing the human immunodeficiency virus (HIV) pathogenesis with cytotoxic T-lymphocytes (CTL) and infected cells in eclipse phase is presented and studied in this paper. The model under consideration also includes a saturated rate describing viral infection. First, the positivity and boundedness of solutions for nonnegative initial data are proved. Next, the global stability of the disease free steady state and the endemic steady states are established depending on the basic reproduction number R0 and the CTL immune response reproduction number RCTL . Moreover, numerical simulations are performed in order to show the numerical stability for each steady state and to support our theoretical findings. Our model based findings suggest that system immunity represented by CTL may control viral replication and reduce the infection.

AB - A modified mathematical model describing the human immunodeficiency virus (HIV) pathogenesis with cytotoxic T-lymphocytes (CTL) and infected cells in eclipse phase is presented and studied in this paper. The model under consideration also includes a saturated rate describing viral infection. First, the positivity and boundedness of solutions for nonnegative initial data are proved. Next, the global stability of the disease free steady state and the endemic steady states are established depending on the basic reproduction number R0 and the CTL immune response reproduction number RCTL . Moreover, numerical simulations are performed in order to show the numerical stability for each steady state and to support our theoretical findings. Our model based findings suggest that system immunity represented by CTL may control viral replication and reduce the infection.

KW - CTL immune response

KW - Global stability

KW - HIV infection model

KW - Viral dynamics

UR - http://www.scopus.com/inward/record.url?scp=85027840625&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85027840625&partnerID=8YFLogxK

U2 - 10.3390/app7080861

DO - 10.3390/app7080861

M3 - Article

AN - SCOPUS:85027840625

VL - 7

JO - Applied Sciences (Switzerland)

JF - Applied Sciences (Switzerland)

SN - 2076-3417

IS - 8

M1 - 861

ER -