Optimal Control of a Cell-to-Cell Fractional-Order Model with Periodic Immune Response for HCV

In this paper, a Caputo fractional-order HCV Periodic immune response model with saturation incidence, cell-to-cell and drug control was proposed. We derive two different basic reproductive numbers and their relation with infection-free equilibrium and the immune-exhausted equilibrium. Moreover, the...

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Autores principales:	Xue Yang, Yongmei Su, Huijia Li, Xinjian Zhuo
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	fractional order control periodic immune cell-to-cell Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/8733044da41f44e8994bcb499700760b
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spelling	oai:doaj.org-article:8733044da41f44e8994bcb499700760b2021-11-25T19:06:53ZOptimal Control of a Cell-to-Cell Fractional-Order Model with Periodic Immune Response for HCV10.3390/sym131121212073-8994https://doaj.org/article/8733044da41f44e8994bcb499700760b2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2121https://doaj.org/toc/2073-8994In this paper, a Caputo fractional-order HCV Periodic immune response model with saturation incidence, cell-to-cell and drug control was proposed. We derive two different basic reproductive numbers and their relation with infection-free equilibrium and the immune-exhausted equilibrium. Moreover, there exists some symmetry in the relationship between the two equilibria and the basic reproduction numbers. We obtain the global stability of the infection-free equilibrium by using Lyapunov function and the local stability of the immune-exhausted equilibrium. The optimal control problem is also considered and two control strategies are given; one is for ITX5061 monotherapy, the other is for ITX5061 and DAAs combination therapy. Matlab numerical simulation shows that combination therapy has lower objective function value; therefore, it is worth trying to use combination therapy to treat HCV infection.Xue YangYongmei SuHuijia LiXinjian ZhuoMDPI AGarticlefractional ordercontrolperiodic immunecell-to-cellMathematicsQA1-939ENSymmetry, Vol 13, Iss 2121, p 2121 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fractional order control periodic immune cell-to-cell Mathematics QA1-939
spellingShingle	fractional order control periodic immune cell-to-cell Mathematics QA1-939 Xue Yang Yongmei Su Huijia Li Xinjian Zhuo Optimal Control of a Cell-to-Cell Fractional-Order Model with Periodic Immune Response for HCV
description	In this paper, a Caputo fractional-order HCV Periodic immune response model with saturation incidence, cell-to-cell and drug control was proposed. We derive two different basic reproductive numbers and their relation with infection-free equilibrium and the immune-exhausted equilibrium. Moreover, there exists some symmetry in the relationship between the two equilibria and the basic reproduction numbers. We obtain the global stability of the infection-free equilibrium by using Lyapunov function and the local stability of the immune-exhausted equilibrium. The optimal control problem is also considered and two control strategies are given; one is for ITX5061 monotherapy, the other is for ITX5061 and DAAs combination therapy. Matlab numerical simulation shows that combination therapy has lower objective function value; therefore, it is worth trying to use combination therapy to treat HCV infection.
format	article
author	Xue Yang Yongmei Su Huijia Li Xinjian Zhuo
author_facet	Xue Yang Yongmei Su Huijia Li Xinjian Zhuo
author_sort	Xue Yang
title	Optimal Control of a Cell-to-Cell Fractional-Order Model with Periodic Immune Response for HCV
title_short	Optimal Control of a Cell-to-Cell Fractional-Order Model with Periodic Immune Response for HCV
title_full	Optimal Control of a Cell-to-Cell Fractional-Order Model with Periodic Immune Response for HCV
title_fullStr	Optimal Control of a Cell-to-Cell Fractional-Order Model with Periodic Immune Response for HCV
title_full_unstemmed	Optimal Control of a Cell-to-Cell Fractional-Order Model with Periodic Immune Response for HCV
title_sort	optimal control of a cell-to-cell fractional-order model with periodic immune response for hcv
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/8733044da41f44e8994bcb499700760b
work_keys_str_mv	AT xueyang optimalcontrolofacelltocellfractionalordermodelwithperiodicimmuneresponseforhcv AT yongmeisu optimalcontrolofacelltocellfractionalordermodelwithperiodicimmuneresponseforhcv AT huijiali optimalcontrolofacelltocellfractionalordermodelwithperiodicimmuneresponseforhcv AT xinjianzhuo optimalcontrolofacelltocellfractionalordermodelwithperiodicimmuneresponseforhcv
_version_	1718410288276963328

Optimal Control of a Cell-to-Cell Fractional-Order Model with Periodic Immune Response for HCV

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