TY - JOUR AU - Erfanian, H. R. AU - Noori Skandari, M. H. PY - 2011 TI - Optimal Control of an HIV Model JO - Journal of Mathematics and Computer Science SP - 650--658 VL - 2 IS - 4 AB - We consider an HIV model, based on optimal control, for identifying the best treatment strategy in order to maximize the healthy cells by using chemotherapies with minimum side effects. In this paper, a new approach is introduced which transform the constraints of problem to the integral constraints. By an approximation, we obtain a finite dimensional linear programming problem which give us an approximate solution for original problem. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.02.04.09 DO - 10.22436/jmcs.02.04.09 ID - Erfanian2011 ER - TY - BOOK TI - An Efficient Treatment Strategy for HIV Patients Using Optimal Control AU - A. A. Ejigu PB - African Institute for Mathematical Sciences (AIMS) PY - 2008 DA - 2008// CY - South Africa ID - Ejigu 2008 ER - TY - JOUR TI - The optimal method for solving continuous linear and nonlinear programs AU - H. R. Erfanian AU - A. V. Kamyad AU - S. Effati JO - Applied mathematical sciences PY - 2009 DA - 2009// VL - 3 ID - Erfanian2009 ER - TY - JOUR TI - A mathematical model for the dynamics of HIV-1 during the typical course of infection AU - A. B. Gumel AU - P. N. Shivakumar AU - B. M. Sahai JO - Nonlinear Analysis, Theory, Methods and Applications PY - 2001 DA - 2001// VL - 47 ID - Gumel2001 ER - TY - JOUR TI - Chemotherapy in an HIV model by a pair of optimal control AU - A. Heydari AU - M. H. Farahi AU - A. A. Heydari JO - Proceedings of the 7th WSEAS International Conference on Simulation, Modelling and Optimization (Beijing, China) PY - 2007 DA - 2007// VL - 2007 ID - Heydari2007 ER - TY - JOUR TI - Optimal control of an HIV immunology model AU - H. R. Joshi JO - Optimal Control Applications and Methods PY - 2002 DA - 2002// VL - 23 ID - Joshi2002 ER - TY - JOUR TI - Optimal control and Infectiology: Application to an HIV/AIDS Model AU - J. Karrakchou AU - M. Rachik AU - S. Gourari JO - Applied Mathematics and Computation PY - 2006 DA - 2006// VL - 177 ID - Karrakchou2006 ER - TY - JOUR TI - An optimal control problem for the multidimensional diffusion equation with a generalized control variable AU - A. V. Kamyad AU - J. E. Rubio AU - D. A. Wilson JO - Journal of Optimization Theory and Applications PY - 1992 DA - 1992// VL - 75 ID - Kamyad1992 ER - TY - JOUR TI - The optimal control of the multidimensional diffusion equation AU - A. V. Kamyad AU - J. E. Rubio AU - D. A. Wilson JO - Journal of Optimization theory and Application PY - 1991 DA - 1991// VL - 70 ID - Kamyad1991 ER - TY - BOOK TI - Control and Optimization the Linear Treatment of Non-linear Problems AU - J. E. Rubio PB - Manchester University Press PY - 1986 DA - 1986// CY - Manchester ID - Rubio1986 ER - TY - JOUR TI - Maximizing of Asymptomatic Stage of Fast Progressive HIV Infected Patient Using Embedding Method Intelligent Control and Automation AU - H. Zarei AU - A. V. Kamyad AU - S. Effati JO - Intelligent Control and Automation PY - 2010 DA - 2010// VL - 1 ID - Zarei2010 ER -