Advanced
A DELAY DYNAMIC MODEL FOR HIV INFECTED IMMUNE RESPONSE
A DELAY DYNAMIC MODEL FOR HIV INFECTED IMMUNE RESPONSE
Journal of applied mathematics & informatics. 2015. Sep, 33(5_6): 559-578
  • Received : January 14, 2014
  • Published : September 30, 2015
Download
PDF
e-PUB
PubReader
PPT
Export by style
Article
Author
Metrics
Cited by
TagCloud
About the Authors
BERA S.P.
MAITI A.
SAMANTA G.P.

Abstract
Human Immune Deficiency Virus (or simply HIV) induces a persistent infection that leads to AIDS causing death in almost every infected individual. As HIV affects the immune system directly by attacking the CD4+ T cells, to exterminate the infection, the natural immune system produces virus-specific cytotoxic T lymphocytes(CTLs) that kills the infected CD4+ T cells. The reduced CD4+ T cell count produce reduced amount of cytokines to stimulate the production of CTLs to fight the invaders that weakens the body immunity succeeding to AIDS. In this paper, we introduce a mathematical model with discrete time-delay to represent this cell dynamics between CD4+ T cells and the CTLs under HIV infection. A modified functional form has been considered to describe the infection mechanism. Characteristics of the system are studied through mathematical analysis. Numerical simulations are carried out to illustrate the analytical findings.
Keywords
References