Analysis of an HTLV/HIV dual infection model with diffusion

In the literature, several HTLV-I and HIV single infections models with spatial dependence have been developed and analyzed. However, modeling HTLV/HIV dual infection with diffusion has not been studied. In this work we derive and investigate a PDE model that describes the dynamics of HTLV/HIV dual...

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Autores principales:	A. M. Elaiw, N. H. AlShamrani
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	htlv/hiv dual infection diffusion global stability mitosis ctl immune response Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/fee4efd545eb4ec4a76f477be28d544a
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spelling	oai:doaj.org-article:fee4efd545eb4ec4a76f477be28d544a2021-11-29T06:16:11ZAnalysis of an HTLV/HIV dual infection model with diffusion10.3934/mbe.20214641551-0018https://doaj.org/article/fee4efd545eb4ec4a76f477be28d544a2021-10-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021464?viewType=HTMLhttps://doaj.org/toc/1551-0018In the literature, several HTLV-I and HIV single infections models with spatial dependence have been developed and analyzed. However, modeling HTLV/HIV dual infection with diffusion has not been studied. In this work we derive and investigate a PDE model that describes the dynamics of HTLV/HIV dual infection taking into account the mobility of viruses and cells. The model includes the effect of Cytotoxic T lymphocytes (CTLs) immunity. Although HTLV-I and HIV primarily target the same host, CD$ 4^{+} $T cells, via infected-to-cell (ITC) contact, however the HIV can also be transmitted through free-to-cell (FTC) contact. Moreover, HTLV-I has a vertical transmission through mitosis of active HTLV-infected cells. The well-posedness of solutions, including the existence of global solutions and the boundedness, is justified. We derive eight threshold parameters which govern the existence and stability of the eight steady states of the model. We study the global stability of all steady states based on the construction of suitable Lyapunov functions and usage of Lyapunov-LaSalle asymptotic stability theorem. Lastly, numerical simulations are carried out in order to verify the validity of our theoretical results. A. M. ElaiwN. H. AlShamraniAIMS Pressarticlehtlv/hiv dual infectiondiffusionglobal stabilitymitosisctl immune responseBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 9430-9473 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	htlv/hiv dual infection diffusion global stability mitosis ctl immune response Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	htlv/hiv dual infection diffusion global stability mitosis ctl immune response Biotechnology TP248.13-248.65 Mathematics QA1-939 A. M. Elaiw N. H. AlShamrani Analysis of an HTLV/HIV dual infection model with diffusion
description	In the literature, several HTLV-I and HIV single infections models with spatial dependence have been developed and analyzed. However, modeling HTLV/HIV dual infection with diffusion has not been studied. In this work we derive and investigate a PDE model that describes the dynamics of HTLV/HIV dual infection taking into account the mobility of viruses and cells. The model includes the effect of Cytotoxic T lymphocytes (CTLs) immunity. Although HTLV-I and HIV primarily target the same host, CD$ 4^{+} $T cells, via infected-to-cell (ITC) contact, however the HIV can also be transmitted through free-to-cell (FTC) contact. Moreover, HTLV-I has a vertical transmission through mitosis of active HTLV-infected cells. The well-posedness of solutions, including the existence of global solutions and the boundedness, is justified. We derive eight threshold parameters which govern the existence and stability of the eight steady states of the model. We study the global stability of all steady states based on the construction of suitable Lyapunov functions and usage of Lyapunov-LaSalle asymptotic stability theorem. Lastly, numerical simulations are carried out in order to verify the validity of our theoretical results.
format	article
author	A. M. Elaiw N. H. AlShamrani
author_facet	A. M. Elaiw N. H. AlShamrani
author_sort	A. M. Elaiw
title	Analysis of an HTLV/HIV dual infection model with diffusion
title_short	Analysis of an HTLV/HIV dual infection model with diffusion
title_full	Analysis of an HTLV/HIV dual infection model with diffusion
title_fullStr	Analysis of an HTLV/HIV dual infection model with diffusion
title_full_unstemmed	Analysis of an HTLV/HIV dual infection model with diffusion
title_sort	analysis of an htlv/hiv dual infection model with diffusion
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/fee4efd545eb4ec4a76f477be28d544a
work_keys_str_mv	AT amelaiw analysisofanhtlvhivdualinfectionmodelwithdiffusion AT nhalshamrani analysisofanhtlvhivdualinfectionmodelwithdiffusion
_version_	1718407625609052160

Analysis of an HTLV/HIV dual infection model with diffusion

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