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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan Sebatik ComTech: Computer, Mathematics and Engineering Applications Journal of Intelligent Computing and Health Informatics (JICHI) Journal of Fundamental Mathematics and Applications (JFMA)
Mahardika, Dhimas
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Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Dentistry Economics, Econometrics & Finance Electrical & Electronics Engineering Energy Engineering Mathematics Mechanical Engineering Medicine & Pharmacology Physics Public Health Transportation

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Journal : ComTech: Computer, Mathematics and Engineering Applications

 1 
Mathematical Modeling on the Control of Hunting Problems Redemtus Heru Tjahjana; Dhimas Mahardika
ComTech: Computer, Mathematics and Engineering Applications Vol. 12 No. 1 (2021): ComTech
Publisher : Bina Nusantara University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21512/comtech.v12i1.6424

Abstract

Modeling a natural phenomenon or the action mechanism of a tool is often done in science and technology. Observations through computer simulations cost less relatively. In the research, a bullet control model moving towards the target was explored. The research aimed to try to simulate the trajectory of the bullet that could be controlled in hunting. To model a controlled bullet, the Dubins model was used. Then, the used approach was control theory. The optimal trajectory and control for bullets were designed using the Pontryagin Maximum Principle. The results show that with this principle and the dynamic system of the bullet, a system of differential equations and adjoining is obtained. The fundamental problem arises because the bullet dynamics model in the form of a differential equation system has initial and final requirements. However, the adjoint matching system has no conditions at all. This problem is solved by using numerical methods. In addition, the research proves the convergence of the calculation results with the required results. The track simulation results are also reported at the end of the research to ensure a successful control design. From the simulation results, the presented method with its convergence has successfully solved the problem of bullet control.
Dynamical Modeling of COVID-19 and Use of Optimal Control to Reduce the Infected Population and Minimize the Cost of Vaccination and Treatment Yohannes Dhimas Mahardika
ComTech: Computer, Mathematics and Engineering Applications Vol. 12 No. 2 (2021): ComTech
Publisher : Bina Nusantara University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21512/comtech.v12i2.6466

Abstract

The research described a model formulation of COVID-19 using a dynamic system of Ordinary Differential Equation (ODE) which involved four population systems (susceptible, exposed, infectious, and recovered). Then, the research analyzed the direction of the equilibrium, Disease Free Equilibrium (DFE), and Endemic Equilibrium (EE). The treatment and vaccination were the control functions applied to the dynamical system modeling of COVID-19. The research was done by determining dimensionless number R0 or Basic Reproduction Number and applying optimal control into the dynamical system using the Pontryagin Minimum Principle. Numerical calculations were also performed to illustrate and compare the graph of the dynamical system with and without a control function. From the results, there is a reduction in the number of susceptible and infected populations. It indicates that giving vaccines to susceptible populations and treating infected populations affect the number of susceptible and infected populations. It also means thatthis control can reduce the spread of the virus.
Co-Authors Ariyani, Rizki Chika Audita Diana, Arista Fitri Kartika, Sopia Kencono, Uvi Dwian Rahmasari, Shafira Meiria Redemtus Heru Tjahjana Sunarsih Sunarsih Wanditra, Lucky Cahya