Intelligent Control and Automation

Volume 1, Issue 1 (August 2010)

ISSN Print: 2153-0653   ISSN Online: 2153-0661

Google-based Impact Factor: 0.70  Citations  

Optimal Control Strategy for a Fully Determined HIV Model

HTML  Download Download as PDF (Size: 709KB)  PP. 15-19  
DOI: 10.4236/ica.2010.11002    7,635 Downloads   10,738 Views  Citations

Affiliation(s)

.

ABSTRACT

This paper shows how mathematical methods can be implemented to formulate guidelines for clinical testing and monitoring of HIV/AIDS disease. First, a mathematical model for HIV infection is presented which the measurement of the CD4+T cells and the viral load counts are needed to estimate all its parameters. Next, through an analysis of model properties, the minimal number of measurement samples is obtained. In the sequel, the effect of Reverse Transcriptase enzyme Inhibitor (RTI) on HIV progression is demonstrated by using a control function. Also the total cost of treatment by this kind of drugs has been minimized. The numerical results are obtained by a numerical method in discretization issue, called AVK.

Share and Cite:

Shirazian, M. and Farahi, M. (2010) Optimal Control Strategy for a Fully Determined HIV Model. Intelligent Control and Automation, 1, 15-19. doi: 10.4236/ica.2010.11002.

Cited by

[1] A mathematical simulation and optimal control of a VIH model with different infectious level
J. Math. Comput. Sci., 2022
[2] Analysing transmission dynamics of HIV/AIDS with optimal control strategy and its controlled state
Journal of Biological Dynamics, 2022
[3] Implementasi model matematika pada penyebaran HIV-AIDS dengan kontrol optimal
2022
[4] HIV–TB co-infection treatment control using multi-objective optimized sliding mode
2020
[5] Analysis and optimal control of an HIV model based on CD4 count
2020
[6] Legendre Pseudospectral Method based Optimal Control of Water-Borne Disease Transmission
2019
[7] Integral Backstepping and Synergetic Control for Tracking of Infected Cells during Early Antiretroviral Therapy
2019
[8] Optimal control of a time delayed HIV-1 infection model
2019
[9] Optimum fuzzy control of human immunodeficiency virus type1 using an imperialist competitive algorithm
2019
[10] Mathematical modelling of In-vivo HIV optimal therapy and management
2018
[11] Optimal Control Analysis of Computer Virus Transmission
International Journal of Network Security, 2018
[12] On Optimal Control Pair Treatment: Clinical Management of Viremia Levels In Pathogenic-Induced HIV-1 Infections
2017
[13] Nonlinear control systems-A brief overview of historical and recent advances
Nonlinear Engineering, 2017
[14] Optimal intervention strategies of a SI-HIV models with differential infectivity and time delays
2017
[15] Optimal Control Model for Pair Chemotherapy Treatment with Time-delay Immunity in Dual HIV-Infectivity
2017
[16] On Optimal Control Model for the Treatment of Dual HIV-Parasitoid Pathogen Infection
2016
[17] Global stability and persistence of HIV models with switching parameters and pulse control
Mathematics and Computers in Simulation, 2016
[18] On Analysis of Parameter Estimation Model for the Treatment of Pathogen-Induced HIV Infectivity
2016
[19] Synergetic control for HIV infection system of CD4+ T cells
2016
[20] AN HIV/AIDS MODEL WITH VERTICAL TRANSMISSION, TREATMENT AND PROGRESSION RATE
Asian Research Journal of Mathematics, 2016
[21] A model for HIV/AIDS pandemic with optimal control
INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2014 (ICoMEIA 2014), 2015
[22] Arsenic and other trace elements in five edible fish species in relation to fish size and weight and potential health risks for human consumption
2015
[23] Optimal sigmoid nonlinear stochastic control of HIV-1 infection based on bacteria foraging optimization method
Biomedical Signal Processing and Control?, 2014
[24] A NONLINEAR DETERMINISTIC MODEL FOR HIV-INFECTION DYNAMICS WITH OPTIMAL CONTROL STRATEGY USING POWER SERIES METHOD
Journal of the Nigerian Mathematical Society, 2013
[25] Using shifted Legendre polynomials for solving optimal control problem of an HIV infection treatment control model
Journal of Mathematics and Computer Sciences-TJMCS?8?, 2013
[26] Optimal control strategy for a HIV infection model via fourier series
Journal of Applied Mathematics, Statistics and Informatics (JAMSI)?, 2013
[27] A Nonlinear Deterministic Model For Hivinfection Dynamics With Optimal Control Strategy Using Power Series Method
2013
[28] Using sliding mode control in stability treatment of HIV disease
Advanced Modeling and Optimization?, 2012
[29] Optimal Control of Multiple Transmission of Water-Borne Diseases
International Journal of Mathematics and Mathematical Sciences， hindawi, 2012
[30] ANALISIS DAN KONTROL OPTIMAL PADA MODEL PENYEBARAN VIRUS HIV DALAM TUBUH MANUSIA
2012

Journals Menu
Follow SCIRP
Contact us
+1 323-425-8868
customer@scirp.org
WhatsApp +86 18163351462(WhatsApp)
Click here to send a message to me 1655362766
Paper Publishing WeChat

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.