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: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/828509 |
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| _version_ | 1849469532876308480 |
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| author | Chunming Zhang Xiaofan Yang Wanping Liu Lu-Xing Yang |
| author_facet | Chunming Zhang Xiaofan Yang Wanping Liu Lu-Xing Yang |
| author_sort | Chunming Zhang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-fd6d7c925f0946b3803ca349f89c4e7d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-fd6d7c925f0946b3803ca349f89c4e7d2025-08-20T03:25:26ZengWileyDiscrete 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 |
| 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 |
| title | 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_short | An Efficient Therapy Strategy under a Novel HIV Model |
| title_sort | efficient therapy strategy under a novel hiv model |
| url | http://dx.doi.org/10.1155/2011/828509 |
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