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Optimal Control Strategy to Reduce the Infection of Pandemic HIV Associated with Tuberculosis

Communication in Biomathematical Sciences · Vol. 5 No. 1 (2022) · hlm. 20–39

DOI
10.5614/cbms.2022.5.1.2
ISSN
2549-2896
Terbit
2022-07-03
Penerbit
The Indonesian Bio-Mathematical Society
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-nd/4.0

Abstrak

Tuberculosis (TB) and HIV/AIDS has become hazardous among communicable diseases and so as their co-infection in present era. HIV virus gradually weakens immune system in human body, and then TB infects with the assist of HIV/AIDS at any stage of the total infectious period. Today, HIV and tuberculosis (TB) are the main causes of mortality from infectious and chronic diseases. In this Study, we manifest a compartmental co-infection model including HIV and TB on the basis of their characteristics of disease transmission. The model is divided into 10 compartments, each with its own set of nonlinear ordinary differential equations. Using the Pontryagin's Maximum Principle, we investigate the existence of state variables, objective functional and optimum control plans. Identifying the most effective ways for reducing infection among the individuals, the optimal control techniques like vaccination control and treatment control measures are applied. The goal of this study is to lower the rate of HIV-TB co-infection and the cost of treatment. Another objective is to find the better control strategy to prevent HIV/AIDS that invites other pathogen in human body by gradual loosing of immunity. We carried out the investigation both analytically and numerically to divulge the effectiveness of the vaccination and treatment control to lessen the HIV and TB infection among the individuals.

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  • Padjadjaran University
  • Khulna University
  • National Institute of Food Technology Entrepreneurship and Management
  • University of Nusa Cendana
  • Sunan Gunung Djati State Islamic University Bandung
  • Vellore Institute of Technology University
  • Aliah University
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Rekan penulisOrganisasiArtikel bersama
Nursanti AnggrianiPadjadjaran University3
Meksianis Zadrak NdiiUniversity of Nusa Cendana2
Ema CarniaPadjadjaran University1
Ananda Ayu PermatasariPadjadjaran University1
Mia Siti KhumaerohSunan Gunung Djati State Islamic University Bandung1
Laura LauraPadjadjaran University1
Panji Fortuna HadisoemartoPadjadjaran University1
Dwi AgustianPadjadjaran University1
Kalyan DasNational Institute of Food Technology Entrepreneurship and Management1
M. N. SrinivasVellore Institute of Technology University1
Aktar SaikhAliah University1
Sanubari Tansah TresnaPadjadjaran University1
Anita TriskaPadjadjaran University1
Muhammad Haekal DzulfikarPadjadjaran University1
Kalyan DasNational Institute of Food Technology Entrepreneurship and Management1
G. Ranjith KumarAfiliasi tidak diketahui1
K. RameshAfiliasi tidak diketahui1
Edy SoewonoBandung Institute of Technology1
H. ServianaUniversitas Islam Makassar1

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Sumber metadata: OAI-PMH (metadata jurnal) http://journals.itb.ac.id/index.php/cbms/oai, pertama di-harvest 8 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">Optimal Control Strategy to Reduce the Infection of Pandemic HIV Associated with Tuberculosis</dc:title>
	<dc:creator>Biswas, M. Haider Ali</dc:creator>
	<dc:creator>Samad, S. Abdus</dc:creator>
	<dc:creator>Parvin, Tahera</dc:creator>
	<dc:creator>Islam, M. Tusberul</dc:creator>
	<dc:creator>Supriatna, Asep K.</dc:creator>
	<dc:subject xml:lang="en-US">Mathematical model</dc:subject>
	<dc:subject xml:lang="en-US">HIV and TB co-infection</dc:subject>
	<dc:subject xml:lang="en-US">Optimal control</dc:subject>
	<dc:subject xml:lang="en-US">Pontryagin's Maximum Principle</dc:subject>
	<dc:description xml:lang="en-US">Tuberculosis (TB) and HIV/AIDS has become hazardous among communicable diseases and so as their co-infection in present era. HIV virus gradually weakens immune system in human body, and then TB infects with the assist of HIV/AIDS at any stage of the total infectious period. Today, HIV and tuberculosis (TB) are the main causes of mortality from infectious and chronic diseases. In this Study, we manifest a compartmental co-infection model including HIV and TB on the basis of their characteristics of disease transmission. The model is divided into 10 compartments, each with its own set of nonlinear ordinary differential equations. Using the Pontryagin's Maximum Principle, we investigate the existence of state variables, objective functional and optimum control plans. Identifying the most effective ways for reducing infection among the individuals, the optimal control techniques like vaccination control and treatment control measures are applied. The goal of this study is to lower the rate of HIV-TB co-infection and the cost of treatment. Another objective is to find the better control strategy to prevent HIV/AIDS that invites other pathogen in human body by gradual loosing of immunity. We carried out the investigation both analytically and numerically to divulge the effectiveness of the vaccination and treatment control to lessen the HIV and TB infection among the individuals.</dc:description>
	<dc:publisher xml:lang="en-US">The Indonesian Bio-Mathematical Society</dc:publisher>
	<dc:date>2022-07-03</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en-US">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journals.itb.ac.id/index.php/cbms/article/view/17648</dc:identifier>
	<dc:identifier>10.5614/cbms.2022.5.1.2</dc:identifier>
	<dc:source xml:lang="en-US">Communication in Biomathematical Sciences; Vol. 5 No. 1 (2022); 20-39</dc:source>
	<dc:source>2549-2896</dc:source>
	<dc:source>10.5614/cbms.2022.5.1</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journals.itb.ac.id/index.php/cbms/article/view/17648/5852</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2022 Communication in Biomathematical Sciences</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-nd/4.0</dc:rights>
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