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All Journal Jurnal Mahasiswa Matematika Research Journal of Life Science Natural B Jurnal Penelitian Pendidikan IPA (JPPIPA)
Marsudi, Marsudi
Brawijaya University
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Education Environmental Science Materials Science & Nanotechnology Mathematics Medicine & Pharmacology Physics

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Mathematical model of HIV / AIDS Transmission with Health Education Marsudi Marsudi; Ratno Bagus Edy Wibowo
Natural B, Journal of Health and Environmental Sciences Vol 2, No 1 (2013)
Publisher : Natural B, Journal of Health and Environmental Sciences

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (87.368 KB) | DOI: 10.21776/ub.natural-b.2013.002.01.7

Abstract

In this research has been carried out the stability analysis of HIV/AIDS epidemic model with a public health educational through the expansion of the SI (susceptible-infected) model. In modeling of HIV/AIDS epidemic, the population is divided into six subpopulations: uneducated susceptible individuals, educated susceptible individuals, uneducated infected individuals without AIDS symptoms, educated infected individuals with AIDS symptoms, uneducated infected individuals with AIDS symptoms and educated infected individuals with AIDS symptoms. The disease-free equilibrium point of the HIV transmission model with education program is locally asymptotically stable if the basic reproduction number is less than unity and unstable if the basic reproduction number is greater than unity. The endemic equilibrium point is exist if the effective reproduction number is greater than unity and stability of endemic equilibrium point has been determined using the Center manifold theory. The center manifold theory can be used to analyze the stability near the disease-free equilibrium point (the effective reproduction number is equal to unity). The impact of a public health education on the spread of HIV/AIDS, the sensitivity analysis on effective reproduction numbers respect to all the parameters which drive the disease dynamics.  
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.
Integrating Irrigation and Potable Water via a Pump-Fed Reservoir: Operational Scenarios and Economic Feasibility in Sukodono Rahmah Dara Lufira; Suwanto Marsudi; Ussy Andawayanti; M. Amar Sajali; Rizki Tri Utami; Santi Sari; Rizki Ramadani Pratama
Jurnal Penelitian Pendidikan IPA Vol 11 No 10 (2025): October
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v11i10.12607

Abstract

The Sukodono Reservoir (Gresik, East Java, Indonesia) is a pump-fed, multi-compartment system integrating irrigation and potable supply. We assess scenario-based operations and an economic appraisal. Three vertical-turbine pumps are installed (3×150 L/s); routine operation uses two units at 81% efficiency, yielding 243 L/s for 12 h/day (10.498 m³/day), with the third unit as standby/peak. By 2039, the population is projected at 30.801, requiring 22 L/s, supplied by a 30 L/s WTP. Irrigation storage targets are 120.000 m³ (250 ha core plantation), 270.000 m³ (2.250 ha inter-cropping), and 546.750 m³ (secondary crops). Six phased-expansion scenarios over six years were evaluated. Results show the designed operation reliably meets the 22 L/s potable demand while achieving the irrigation storage targets across scenarios. Base-case economics at a 5.50% discount rate (WACC) indicate IRR 18.50%, BCR ≈ 1.00 (break-even), and payback 7.10 years. We conclude that pump-fed reservoirs can integrate rural water supply and dryland irrigation effectively, although economic performance is marginal under the base case; viability improves with efficiency gains and prudent O&M/Fuel-Cost control.
Co-Authors AGUS WIDODO Budiati, Lina Dikerianto, Goesta Endang Wahyu Handamari Firdaus, Muhammad Rizki Ganiswara H., Andrias Hady Rasikhun Hidayat, Noor Imam Nurhadi Purwanto Kurniawati, Anisa Fitria Kwardiniya Andawaningtyas Lestari, Retno Putri M. Amar Sajali Mahmudah, Mahmudah Mubarok, Ahmad Husni Pratiwi, R. C. Putri, Anggita Oktaviana R., Rinang Dwi Rahmah Dara Lufira Ratno Bagus Edy Wibowo Rizki Ramadani Pratama Rizki Tri Utami Rosyida, Indah Cahyani Rosyidah, Lailiyatul Santi Sari Sobri Abusini Tamrin, Ahmad Husni Tunjungsari, Meirdania Fitri Ussy Andawayanti Wahyu T.M., Mega Zuhriah, Aminatu