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

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 journal › Article › peer-review

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 language	English
Pages (from-to)	125-136
Number of pages	12
Journal	Nonlinear Dynamics and Systems Theory
Volume	11
Issue number	2
Publication status	Published - 20 Jun 2011
Externally published	Yes

Keywords

Delay
HIV/AIDS
Stability
Switching

ASJC Scopus subject areas

Applied Mathematics
Mathematical Physics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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http://www.e-ndst.kiev.ua/v11n2/2(35).pdf

Cite this

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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",

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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

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SP - 125

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

Access to Document

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