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All Journal International Journal of Global Operations Research
Mochammad Andhika Aji Pratama
Universitas Padjadjaran
Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Engineering Mathematics

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Optimal Forestry Model Control with Logging and Tourism Factors Mochammad Andhika Aji Pratama
International Journal of Global Operations Research Vol 1, No 2 (2020)
Publisher : iora

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47194/ijgor.v1i2.33

Abstract

Forest is one of the natural resources that need to be preserved because it has vital functions for humans both ecologically and economically. In this study, a mathematical model of forestry dynamics was developed by dividing the forest area, indigenous people, non-indigenous people, population pressure and economic incentives. The model was analyzed by dynamic system theory, the existence of equilibrium points and their stability were determined. Using the second Lyapunov method, global stability was also determined. In that forestry model, logging and tourism factors were added which affect the dynamics of forest biomass. The Pontryagin maximum principle was used to obtain optimal conditions from the model. Numerical simulation shows that the use of forests by logging and tourism, reduces the amount of forest biomass, but the forest remains sustainable. Utilization of forests bycontrols will maximize the benefits of logging and tourism in the associated forests.
Comparison of Numerical Simulation of Epidemiological Model between Euler Method with 4th Order Runge Kutta Method Rizky Ashgi; Mochammad Andhika Aji Pratama; Sri Purwani
International Journal of Global Operations Research Vol 2, No 1 (2021)
Publisher : iora

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47194/ijgor.v2i1.67

Abstract

Coronavirus Disease 2019 has become global pandemic in the world. Since its appearance, many researchers in world try to understand the disease, including mathematics researchers. In mathematics, many approaches are developed to study the disease. One of them is to understand the spreading of the disease by constructing an epidemiology model. In this approach, a system of differential equations is formed to understand the spread of the disease from a population. This is achieved by using the SIR model to solve the system, two numerical methods are used, namely Euler Method and 4th order Runge-Kutta. In this paper, we study the performance and comparison of both methods in solving the model. The result in this paper that in the running process of solving it turns out that using the euler method is faster than using the 4th order Runge-Kutta method and the differences of solutions between the two methods are large.
Co-Authors Rizky Ashgi Sri Purwani