A delayed HIV infection model with apoptosis and viral loss

In this paper, a delayed human immunodeficiency virus (HIV) model with apoptosis of cells has been studied. Both immunological and intracellular delay have been incorporated to make the model more relevant. Firstly, the model has been investigated using local stability analysis. Next, the global sta...

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Bibliographic Details
Main Authors:	Saroj Kumar Sahani, Yashi
Format:	Article
Language:	English
Published:	Taylor & Francis Group 2018-01-01
Series:	Journal of Biological Dynamics
Subjects:	apoptosis chaos global stability hiv hopf bifurcation time delay viral loss
Online Access:	http://dx.doi.org/10.1080/17513758.2018.1547427

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record_format	Article
spelling	doaj-6f252ea4c5fa4f22a9d970fdb9cd1e802020-11-25T02:06:52ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662018-01-011211012103410.1080/17513758.2018.15474271547427A delayed HIV infection model with apoptosis and viral lossSaroj Kumar Sahani0Yashi1South Asian UniversitySouth Asian UniversityIn this paper, a delayed human immunodeficiency virus (HIV) model with apoptosis of cells has been studied. Both immunological and intracellular delay have been incorporated to make the model more relevant. Firstly, the model has been investigated using local stability analysis. Next, the global stability analysis of steady states has been performed. The stability switch criteria taking the delay as the bifurcating parameter, leading to Hopf bifurcation has been studied. The transition of the system from order to chaos has been explored, and the analytical results have been verified by numerical simulations. The results thus can be used to describe the extensive dynamics exhibited by the model introduced in this article. The effects of apoptosis on viral load has been studied in the model numerically.http://dx.doi.org/10.1080/17513758.2018.1547427apoptosischaosglobal stabilityhivhopf bifurcationtime delayviral loss
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Saroj Kumar Sahani Yashi
spellingShingle	Saroj Kumar Sahani Yashi A delayed HIV infection model with apoptosis and viral loss Journal of Biological Dynamics apoptosis chaos global stability hiv hopf bifurcation time delay viral loss
author_facet	Saroj Kumar Sahani Yashi
author_sort	Saroj Kumar Sahani
title	A delayed HIV infection model with apoptosis and viral loss
title_short	A delayed HIV infection model with apoptosis and viral loss
title_full	A delayed HIV infection model with apoptosis and viral loss
title_fullStr	A delayed HIV infection model with apoptosis and viral loss
title_full_unstemmed	A delayed HIV infection model with apoptosis and viral loss
title_sort	delayed hiv infection model with apoptosis and viral loss
publisher	Taylor & Francis Group
series	Journal of Biological Dynamics
issn	1751-3758 1751-3766
publishDate	2018-01-01
description	In this paper, a delayed human immunodeficiency virus (HIV) model with apoptosis of cells has been studied. Both immunological and intracellular delay have been incorporated to make the model more relevant. Firstly, the model has been investigated using local stability analysis. Next, the global stability analysis of steady states has been performed. The stability switch criteria taking the delay as the bifurcating parameter, leading to Hopf bifurcation has been studied. The transition of the system from order to chaos has been explored, and the analytical results have been verified by numerical simulations. The results thus can be used to describe the extensive dynamics exhibited by the model introduced in this article. The effects of apoptosis on viral load has been studied in the model numerically.
topic	apoptosis chaos global stability hiv hopf bifurcation time delay viral loss
url	http://dx.doi.org/10.1080/17513758.2018.1547427
work_keys_str_mv	AT sarojkumarsahani adelayedhivinfectionmodelwithapoptosisandviralloss AT yashi adelayedhivinfectionmodelwithapoptosisandviralloss AT sarojkumarsahani delayedhivinfectionmodelwithapoptosisandviralloss AT yashi delayedhivinfectionmodelwithapoptosisandviralloss
_version_	1724932301348929536

A delayed HIV infection model with apoptosis and viral loss

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