Exploring HIV Dynamics and an Optimal Control Strategy

Alsahafi, S; Woodcock, S

Exploring HIV Dynamics and an Optimal Control Strategy

Alsahafi, S Woodcock, S

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Publisher:: MDPI AG
Publication Type:: Journal Article
Citation:: Mathematics, 10, (5), pp. 749-749

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Field	Value	Language
dc.contributor.author	Alsahafi, S
dc.contributor.author	Woodcock, S https://orcid.org/0000-0003-4903-3164
dc.date.accessioned	2022-02-28T13:02:44Z
dc.date.available	2022-02-28T13:02:44Z
dc.identifier.citation	Mathematics, 10, (5), pp. 749-749
dc.identifier.issn	2227-7390
dc.identifier.uri	http://hdl.handle.net/10453/154925
dc.description.abstract	<jats:p>In this paper, we propose a six-dimensional nonlinear system of differential equations for the human immunodeficiency virus (HIV) including the B-cell functions with a general nonlinear incidence rate. The compartment of infected cells was subdivided into three classes representing the latently infected cells, the short-lived productively infected cells, and the long-lived productively infected cells. The basic reproduction number was established, and the local and global stability of the equilibria of the model were studied. A sensitivity analysis with respect to the model parameters was undertaken. Based on this study, an optimal strategy is proposed to decrease the number of infected cells. Finally, some numerical simulations are presented to illustrate the theoretical findings.</jats:p>
dc.language	en
dc.publisher	MDPI AG
dc.relation.ispartof	Mathematics
dc.relation.isbasedon	10.3390/math10050749
dc.rights	info:eu-repo/semantics/openAccess
dc.title	Exploring HIV Dynamics and an Optimal Control Strategy
dc.type	Journal Article
utslib.citation.volume	10
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
utslib.copyright.status	open_access	*
dc.date.updated	2022-02-28T13:02:43Z
pubs.issue	5
pubs.publication-status	Published online
pubs.volume	10
utslib.citation.issue	5

Abstract:

In this paper, we propose a six-dimensional nonlinear system of differential equations for the human immunodeficiency virus (HIV) including the B-cell functions with a general nonlinear incidence rate. The compartment of infected cells was subdivided into three classes representing the latently infected cells, the short-lived productively infected cells, and the long-lived productively infected cells. The basic reproduction number was established, and the local and global stability of the equilibria of the model were studied. A sensitivity analysis with respect to the model parameters was undertaken. Based on this study, an optimal strategy is proposed to decrease the number of infected cells. Finally, some numerical simulations are presented to illustrate the theoretical findings.

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http://hdl.handle.net/10453/154925