Analysis of an In-host Model for HIV Dynamics with Saturation Effect and Discrete Time Delay

P. Das, D. Mukherjee, A. Sen, Z. Mukandavire, C. Chiyaka

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We present an in-host HIV/AIDS model with saturation effect and a discrete time delay. It is shown that infection is endemic when R 0 > 1 but dies out when R 0 < 1. The switching phenomenon for the stable equilibria is observed when a discrete time delay is incorporated. The parameters that can control the disease transmission are also discussed. Numerical simulations are carried out to verify and support the analytical results and illustrate possible behavior scenarios of the model

Original languageEnglish
Pages (from-to)125-136
Number of pages12
JournalNonlinear Dynamics and Systems Theory
Volume11
Issue number2
Publication statusPublished - 20 Jun 2011
Externally publishedYes

Fingerprint

Saturation
Time delay
Discrete-time
Infection
Die
Verify
Numerical Simulation
Scenarios
Computer simulation
Model

Keywords

  • Delay
  • HIV/AIDS
  • Stability
  • Switching

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematical Physics

Cite this

Analysis of an In-host Model for HIV Dynamics with Saturation Effect and Discrete Time Delay. / Das, P.; Mukherjee, D.; Sen, A.; Mukandavire, Z.; Chiyaka, C.

In: Nonlinear Dynamics and Systems Theory, Vol. 11, No. 2, 20.06.2011, p. 125-136.

Research output: Contribution to journalArticle

@article{b29e3c7e9f03466faffc51e974dcb40c,
title = "Analysis of an In-host Model for HIV Dynamics with Saturation Effect and Discrete Time Delay",
abstract = "We present an in-host HIV/AIDS model with saturation effect and a discrete time delay. It is shown that infection is endemic when R 0 > 1 but dies out when R 0 < 1. The switching phenomenon for the stable equilibria is observed when a discrete time delay is incorporated. The parameters that can control the disease transmission are also discussed. Numerical simulations are carried out to verify and support the analytical results and illustrate possible behavior scenarios of the model",
keywords = "Delay, HIV/AIDS, Stability, Switching",
author = "P. Das and D. Mukherjee and A. Sen and Z. Mukandavire and C. Chiyaka",
year = "2011",
month = "6",
day = "20",
language = "English",
volume = "11",
pages = "125--136",
journal = "Nonlinear Dynamics and Systems Theory",
issn = "1562-8353",
publisher = "Informath Publishing Group",
number = "2",

}

TY - JOUR

T1 - Analysis of an In-host Model for HIV Dynamics with Saturation Effect and Discrete Time Delay

AU - Das, P.

AU - Mukherjee, D.

AU - Sen, A.

AU - Mukandavire, Z.

AU - Chiyaka, C.

PY - 2011/6/20

Y1 - 2011/6/20

N2 - We present an in-host HIV/AIDS model with saturation effect and a discrete time delay. It is shown that infection is endemic when R 0 > 1 but dies out when R 0 < 1. The switching phenomenon for the stable equilibria is observed when a discrete time delay is incorporated. The parameters that can control the disease transmission are also discussed. Numerical simulations are carried out to verify and support the analytical results and illustrate possible behavior scenarios of the model

AB - We present an in-host HIV/AIDS model with saturation effect and a discrete time delay. It is shown that infection is endemic when R 0 > 1 but dies out when R 0 < 1. The switching phenomenon for the stable equilibria is observed when a discrete time delay is incorporated. The parameters that can control the disease transmission are also discussed. Numerical simulations are carried out to verify and support the analytical results and illustrate possible behavior scenarios of the model

KW - Delay

KW - HIV/AIDS

KW - Stability

KW - Switching

UR - http://www.scopus.com/inward/record.url?scp=79958804817&partnerID=8YFLogxK

M3 - Article

VL - 11

SP - 125

EP - 136

JO - Nonlinear Dynamics and Systems Theory

JF - Nonlinear Dynamics and Systems Theory

SN - 1562-8353

IS - 2

ER -