An Efficient Therapy Strategy under a Novel HIV Model

By incorporating the chemotherapy into a previous model describing the interaction of the immune system with the human immunodeficiency virus (HIV), this paper proposes a novel HIV virus spread model with control variables. Our goal is to maximize the number of healthy cells and, meanwhile, to minim...

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Main Authors:	Chunming Zhang, Xiaofan Yang, Wanping Liu, Lu-Xing Yang
Format:	Article
Language:	English
Published:	Hindawi Limited 2011-01-01
Series:	Discrete Dynamics in Nature and Society
Online Access:	http://dx.doi.org/10.1155/2011/828509

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spelling	doaj-fd6d7c925f0946b3803ca349f89c4e7d2020-11-25T00:25:22ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/828509828509An Efficient Therapy Strategy under a Novel HIV ModelChunming Zhang0Xiaofan Yang1Wanping Liu2Lu-Xing Yang3College of Computer Science, Chongqing University, Chongqing 400044, ChinaCollege of Computer Science, Chongqing University, Chongqing 400044, ChinaCollege of Computer Science, Chongqing University, Chongqing 400044, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 400044, ChinaBy incorporating the chemotherapy into a previous model describing the interaction of the immune system with the human immunodeficiency virus (HIV), this paper proposes a novel HIV virus spread model with control variables. Our goal is to maximize the number of healthy cells and, meanwhile, to minimize the cost of chemotherapy. In this context, the existence of an optimal control is proved. Experimental results show that, under this model, the spread of HIV virus can be controlled effectively.http://dx.doi.org/10.1155/2011/828509
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Chunming Zhang Xiaofan Yang Wanping Liu Lu-Xing Yang
spellingShingle	Chunming Zhang Xiaofan Yang Wanping Liu Lu-Xing Yang An Efficient Therapy Strategy under a Novel HIV Model Discrete Dynamics in Nature and Society
author_facet	Chunming Zhang Xiaofan Yang Wanping Liu Lu-Xing Yang
author_sort	Chunming Zhang
title	An Efficient Therapy Strategy under a Novel HIV Model
title_short	An Efficient Therapy Strategy under a Novel HIV Model
title_full	An Efficient Therapy Strategy under a Novel HIV Model
title_fullStr	An Efficient Therapy Strategy under a Novel HIV Model
title_full_unstemmed	An Efficient Therapy Strategy under a Novel HIV Model
title_sort	efficient therapy strategy under a novel hiv model
publisher	Hindawi Limited
series	Discrete Dynamics in Nature and Society
issn	1026-0226 1607-887X
publishDate	2011-01-01
description	By incorporating the chemotherapy into a previous model describing the interaction of the immune system with the human immunodeficiency virus (HIV), this paper proposes a novel HIV virus spread model with control variables. Our goal is to maximize the number of healthy cells and, meanwhile, to minimize the cost of chemotherapy. In this context, the existence of an optimal control is proved. Experimental results show that, under this model, the spread of HIV virus can be controlled effectively.
url	http://dx.doi.org/10.1155/2011/828509
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An Efficient Therapy Strategy under a Novel HIV Model

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