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Comparison between Fuzzy Logic Controller (FLC) and Fractional Order Proportional Integral Derivative (FOPID) Controller on Water Level and Steam Temperature of Steam Drum Boiler Zainullah Zuhri; Mardlijah Mardlijah; Didik Khusnul Arif
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 4 No. 2 (2018)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Steam drum boiler is an important component of boiler on electric steam power plant which is useful to obtain steam. The obtained steam makes turbine spin. In order to obtain maximal result for the steam power plant (PLTU) 1-2 PT PJB UP Gresik, the water level of steam drum boiler must be 0.7625 m and the temperature of steam drum boiler must be 786 K. Thus, it needs some controller to keep the position of water level and the temperature stable. In this problem, we compare two controllers FLC and FOPID. It can be concluded that FLC works better than FOPID controller. Nevertheless, FOPID controller has faster response time than FLC, i.e. no overshoot and more robust when disturbance is present on the system.
Safety Verification of SEITR Epidemic Model on Recombination HIV and Hepatitis B Virus using Taylor Model Asmudik Asmudik; Dieky Adzkiya; Mardlijah Mardlijah; Hariyanto Hariyanto
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 7 No. 1 (2021)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Human Immunodeficiency Virus (HIV) is an AIDS (Acquired Immuno Deficiency Syndrome) virus that attacks the immune system for which there is no cure. When the immune system has decreased, it is prone to diseases such as Hepatitis B disease. To reduce the error value of the number of subpopulations, we use an interval approximation. One of the simulation calculations that the number of variables initially intervals is Taylor model. Taylor's model can be used to verify that the number of people infected with HIV and Hepatitis B will not exceed the specified number of unsafe sets. To calculate the set of states that are reached by the system over a certain period of time, given the initial conditions and parameters. The initial condition is divided into three scenarios, an affordable set of states, safety verification can be done. As a result of the safety verification of the three scenarios provided there is no set of states that are not safe, so the results of all three scenarios are safe.
Analysis Mathematical Model of Radicalization S(Susceptible) E(Extremists) R(Recruiters) I(Immunity) with Optimal Control Dauliyatu Achsina; Mardlijah Mardlijah
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 7 No. 2 (2021)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Radicalization is a process when people come to adopt increasingly extreme political or religious ideologies, radicalization almost occurs in almost all countries in the world. Seeing a number of cases in recent times, radicalization has become a major concern for the world, especially in the field of national security. Radicalization has become one of the focuses in the national security sector because it leads to acts of extremism, violence and terrorism. The level of radicalization is high in each year and continues to increase so special supervision is needed to control it because it causes huge financial losses. Therefore a preventive effort is needed to overcome this. Efforts to prevent radical movements have been widely used, ranging from direct or indirect, in addition some things have also been done directly by the government. So far it has not been seen how effective these efforts are. Radicalization is formed because of the influence of extremists and the recruiters group. Many individuals are affected and enter the group because they are influenced by the people in the group who are within their scope. To overcome these problems, a control is needed as an effort to prevent radicalism. Prevention efforts are in the form of strict sanctions given to recruiters. Next to find out how the influence of controls on individual groups of recruiters is needed a tool to represent the tool is a model. The mathematical model that is suitable for representing the appropriate problems of radicalization is the Susceptible (S) , Extremists (E) Recruiters (R), Immunity (I) model.
Mathematical Modeling and Parameter Estimation of Meningitis Transmission Dynamic using Vaccination Strategies in Indonesia Aufa Al Musyarof; Faris Nur Hibban; Mardlijah Mardlijah; Didik Khusnul Arif
Jambura Journal of Mathematics Vol 8, No 2: August 2026
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v8i2.39751

Abstract

Meningitis is a public health threat because it progresses rapidly and has serious clinical impacts, including long-term disability. This research develops a six-compartment mathematical model to examine the dynamics of meningitis transmission by dividing the population into susceptible, exposed, infected, recovered without disability, recovered with disability, and vaccinated groups. The model parameters were fitted using the least squares method based on annual meningitis case data in Indonesia from 1990 to 2023 according to estimates originating from the Institute for Health Metrics and Evaluation (IHME)/Global Burden of Disease, accessed through the archived Our World in Data source. Model validation shows high accuracy performance, with a Mean Absolute Percentage Error value of 3.12%. Local sensitivity analysis indicates that the transmission rate (\beta) and vaccination rate (\xi) are the parameters most influencing changes in R0 resulting from parameter variation. Numerical simulation results show that rapid immunization at the onset of an outbreak is the most effective strategy among the vaccination scenarios examined to expedite herd immunity and limit disease spread.
HIV Transmission Dynamics and Workforce Productivity in Indonesia: A Nonlinear Modeling and Parameter Estimation Study Rizqi Aridh Dwi Prasetyo; Nuansa Cahaya Muhammad; Didik Khusnul Arif; Mardlijah Mardlijah
Jambura Journal of Mathematics Vol 8, No 2: August 2026
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v8i2.39823

Abstract

This article addresses limited multi-compartment clinical data by developing a six-compartment nonlinear mathematical model consisting of susceptible (S), protected (P), exposed (E), non-productive infected (In), productive infected (Ip), and AIDS phase (A) to analyze HIV transmission dynamics and workforce productivity in Indonesia. Utilizing empirical data from 2006 to 2023, parameter estimation via nonlinear least squares yielded a robust Mean Absolute Percentage Error (MAPE) of 14.20%. The system’s local stability is governed by the basic reproduction number, where the baseline estimation R0 = 0.831332 1 theoretically guarantees long-term disease eradication. Linearization around the disease-free equilibrium (E0) proved a stable focus behavior, showing trajectories that approach the steady state via damped oscillations due to clinical progression delays. Sensitivity analysis and numerical simulations identified the transmission rate from exposed individuals (βe) and the transition rate from exposed to non-productive infected (γ) as the most critical parameters controlling R0. While elevated transmission from the exposed compartment forces a continuous rise in the exposed cohort, accelerating the clinical transition rate shifts the non-productive infected peak earlier and rapidly suppresses active clusters to zero. These findings provide critical insights into how clinical manifestation timing and transmission from the exposed compartment interact, which is vital for planning healthcare resource windows and safeguarding workforce productivity.