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Mathematics Department, Faculty of Science and Technology UIN Sunan Ampel Surabaya Jl. A. Yani no 117 Surabaya, Jawa Timur, Indonesia
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Jurnal Matematika: MANTIK
Published by Universitas Islam Negeri Sunan Ampel
ISSN : 25273159     EISSN : 25273167     DOI : 10.15642/mantik
Core Subject : Education,
Mathematics
Jurnal Matematika MANTIK is a mathematical journal published biannually by the Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya. Journal includes research papers, literature studies, analysis, and problem-solving in Mathematics (Algebra, Analysis, Statistics, Computing and Applied).
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Articles 7 Documents
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Search results for , issue "Vol. 7 No. 2 (2021): Mathematics and Applied Mathematics" : 7 Documents clear
Michaelis-Menten Models with Constant Harvesting of Restricted Prey Populations Minimum Place and Amount Capacity Aswar Anas; Marsidi
Jurnal Matematika MANTIK Vol. 7 No. 2 (2021): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2021.7.2.107-114

Abstract

Food chain modeling is currently developing rapidly. The ecosystem is protected from the chain of eating and eating processes. All living things need each other, but if the process of eating them is not balanced, then the extinction of living things will occur. One of them is the prey and predator model that serves as a balancer in the food chain system. The Michaelis-Menten model is a prey-predator model that essentially prevents prey extinction. The problem is how to keep the prey from becoming extinct but with maximum harvesting in one place and the minimum amount of prey at the right time. The method used to overcome this problem is to add two new variables to the Michaelis-Menten model, namely the minimum number of prey and the capacity of the place to be occupied. It is seen that the system will be in equilibrium if the predator mortality rate is large so that the prey is kept from extinction until harvesting. In addition, the right time for good breeding can also be determined. From this model, it is found that the right time for harvesting so that prey extinction does not occur is
Optimization of Inventory Level Using Fuzzy Probabilistic Exponential Two Parameters Model Eka Susanti; Indrawati; Robinson Sitepu
Jurnal Matematika MANTIK Vol. 7 No. 2 (2021): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2021.7.2.124-131

Abstract

Inventory control is an important factor in trading activities. Inventory control aims to ensure product availability. Several factors affect the level of inventory including the level of demand factor, maximum inventory, and the level of deterioration. If the influencing factors cannot be defined with certainty and follow a certain statistic distribution then the fuzzy probabilistic approach can be applied. This research discusses the problem of optimizing the inventory of red chillies at the retail level. The level of deterioration is assumed to follow an exponential distribution and demand follows a Pareto distribution. Statistical parameters are estimated using the Maximum likelihood method and cost parameters are expressed by triangular fuzzy numbers. Based on the calculation results for several beta values, the highest total cost is 405143.6 rupiah, a maximum inventory level of 15 kg, and an order cycle time of 0.923 days.
Analysis of Society Satisfaction of The E-Toll System In Indonesia Based On Structural Equation Model M. Fariz Fadillah Mardianto; Rosyida Widadina Ulya; Almira Sophie Syamsudin
Jurnal Matematika MANTIK Vol. 7 No. 2 (2021): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2021.7.2.115-123

Abstract

The implementation of the use of the e-toll system has several evaluations from the community. This evaluation affects community satisfaction with the e-toll system. It is important to know public satisfaction so that the government can evaluate what factors are lacking from the e-toll system so that the service is better. In this study, the method used in the satisfaction analysis is Structural Equation Modeling (SEM). This study uses data based on the results of online questionnaires that have been tested for validity and reliability. In this study, the dimensions of service quality were assessed from the elements of reliability, responsiveness, assurance, empathy and physical evidence. Based on the results of the study, the community is satisfied with the use of the e-toll system on toll roads. However, there are two of the five dimensions of service quality that are very significant, namely the dimensions of reliability and assurance. For this reason, the government needs to pay more attention to reliability and provide guarantees for the e-toll system.
Regional Economic Growth: A Spatial Durbin Model Approach Abdul Karim
Jurnal Matematika MANTIK Vol. 7 No. 2 (2021): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2021.7.2.147-154

Abstract

The purpose of this study is to determine the effect of spatial dependence on Gross Regional Domestic Product (GRDP) in Central Java Province. Spatial Durbin Model (SDM) is a regression model consisting of a spatial data structure which is the development of the Spatial Autoregressive Model (SAR). There is an additional spatial effect on the component of the independent variable that is not included in the SAR model or commonly referred to as an indirect effect on the independent variable. This indicates that SDM has advantages compared to SAR because there are spatial effects on the dependent and independent variables, the spatial weighted matrix used in this study is row-normalized binary contiguity. The data used in this study is sourced from the Central Java Statistics Agency (BPS) in 2019 for 35 districts and cities, which GRDP as the dependent variable, labor, human resources, and road infrastructure as independent variables. Based on the results of the analysis, the AIC value shows that SDM is significantly better than the ordinary least square (OLS) and SAR models. SDM results show that human resources have a positive sign and a direct effect of 88.5 percent and an indirect effect of 13.1 percent. In addition, the labor variable has an indirect effect on GRDP of 22.2 percent.
Investigation of the Relationship Between Economic Growth and use of Fossil and Hydroelectric Energy Resources by ARDL Boundary Test: 1971-2018 Iraq Case Rogash Younis Masiha; Sadeq Taha Abdulazeez; Dindar Saeed Saeed
Jurnal Matematika MANTIK Vol. 7 No. 2 (2021): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2021.7.2.155-164

Abstract

Energy is an important input for economies. In this context, many countries have conducted studies to examine how energy affects their economies. In addition, the relationship between energy and economic growth is an important indicator in guiding economic policies. In this study, the effect of Energy Production from Fossil Sources (EPFS) and Energy Production from Hydroelectric Sources (EPHS) on Economic Growth (GDP) for Iraq was analyzed with the ARDL Cointegration test. The data of Iraq used in the study were taken from the official web address of the World Bank and covers the years between 1971-2018. A significant and positive relationship has been found between the energy resources discussed in the study and economic growth. In addition, according to the Toda-Yamamoto causality analysis, a causality relationship from the use of fossil energy resources to economic growth was found. Likewise, a causality relationship has been found from the use of hydroelectric energy resources to economic growth.
The Testing of Existence Wagner's Law in Papua Province Muhammad Fajar; Yuyun Guna Winarti
Jurnal Matematika MANTIK Vol. 7 No. 2 (2021): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2021.7.2.132-139

Abstract

The Law of Wagner is supposedly not universally applicable. There are debates about the truth of this law. Based on this phenomenon, the purpose of this study is to examine the existence of Wagner's Law in the economy of Papua Province. Data used in this research are GRDP (Gross Regional Domestic Product) at the constant price (Real GRDP) and government expenditure at the constant price (Real GOV) in the form of natural logarithms (the base year 2000) from all municipalities in Papua Province from 2000 to 2013. Data source comes from Badan Pusat Statistik-Statistics Indonesia. The method used in this research is The Kao Cointegration Test and The Granger Causality Test. These methods indicate the possibility of short-term and long-term effects across economic variables. The result of this study concludes that there is a significant relationship between government expenditure and Gross Regional Domestic Product (GRDP). This result means that Wagner’s Law is not proven in the Papuan economy. This is supported by a causality test which shows government expenditure is granger cause of the real GDP, but not vice versa. However, the two variables are cointegrating.
A Comparative Study Between ADM and MDM for a System of Volterra Integral Equation Sizar Mohammed; Hela Ahmed
Jurnal Matematika MANTIK Vol. 7 No. 2 (2021): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2021.7.2.140-146

Abstract

In this paper, a comparative study between Adomain decomposition method (ADM) and Modified decomposition method (MDM) for a system of volterra integral equation. From the illustrate examples it is observed that the exact solution is smaller in both methods, the modified decomposition method is more proficient than its traditional ones it is less complicated, needs less time to get to the solution and most importantly the exact solution is achieved in two iterations.

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