Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 828509, 19 pages
http://dx.doi.org/10.1155/2011/828509
Research Article

An Efficient Therapy Strategy under a Novel HIV Model

Chunming Zhang,1 Xiaofan Yang,1 Wanping Liu,1 and Lu-Xing Yang2

1College of Computer Science, Chongqing University, Chongqing 400044, China
2College of Mathematics and Statistics, Chongqing University, Chongqing 400044, China

Received 20 April 2011; Revised 19 August 2011; Accepted 19 August 2011

Academic Editor: Antonia Vecchio

Copyright © 2011 Chunming Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.