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All Journal Journal of Tropical Life Science : International Journal of Theoretical, Experimental, and Applied Life Sciences The Journal of Experimental Life Sciences (JELS) CAUCHY: Jurnal Matematika Murni dan Aplikasi Electronic Journal of Graph Theory and Applications (EJGTA) Telematika : Jurnal Informatika dan Teknologi Informasi Journal of Innovation and Applied Technology Research Journal of Life Science Prosiding Seminar Nasional Teknoka JTAM (Jurnal Teori dan Aplikasi Matematika) Limits: Journal of Mathematics and Its Applications
Hidayat, Noor
Brawijaya University
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Computer Science & IT Education Electrical & Electronics Engineering Engineering Environmental Science Immunology & microbiology Mathematics Medicine & Pharmacology Neuroscience

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Journal : Research Journal of Life Science

 1 
Application of Optimal Control Strategies for the Spread of HIV in a Population Marsudi Marsudi; Noor Hidayat; Ratno Bagus Edy Wibowo
Research Journal of Life Science Vol 4, No 1 (2017)
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (613.253 KB) | DOI: 10.21776/ub.rjls.2017.004.01.1

Abstract

This paper presents an application of optimal control theory to assess the effectiveness of control measures on the spread of HIV in a population.  This paper formulates and analyzes a deterministic mathematical model with use of condom, screening and therapy as control variables using optimal control theory and Pontryagin’s Maximum Principle. It formulates the appropriate optimal control problem and investigate the necessary conditions for the disease control in order to determine the role of unaware infectives in the spread of HIV using of condom, screening of unaware infective and antiretroviral therapy are used as the control items. The optimality system is derived and solved numerically.
Co-Authors Abdul Rouf Al-ghofari Abdul Rouf Alghofari Agus Suryanto Alghofari, Abdul Rouf Anam, Syaiful Candra Dewi Corina Karim, Ari Andari Damarian Prawira Hutama Diari Indriati Dwi Mifta Mahanani Fatmawati Hidayat Fira Fitriah Indah Yanti Indah Yanti Marjono, Marjono Marsudi, Marsudi Mochamad Hakim Akbar Assidiq Maulana Mohamad Handri Tuloli Mustika Ana Kurfia Nurul Faqiyyatur Rokhmah Ratno Bagus Edy Wibowo Rina Exviani S Slamin Syafitri Hidayahningrum Trisilowati, Trisilowati Wijayanti, Dian Eka Wuryansari Muharini Kusumawinahyu ZURAIDAH FITRIAH Zuraidah Fitriah