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Analisis Dinamik Model Respon Inflamasi Pada Paru-Paru Arrofiqi, Muhammad Rosyid; Pagalay, Usman; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 3, No 1 (2023): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v3i1.22362

This study discusses the dynamic analysis of the inflammatory response model in the lungs. Then proceed with performing numerical simulations. This study was conducted to present the inflammatory response in the lungs. In the mathematical model of the inflammatory response, there are three variables, namely (pathogen), (immune system) and (inflammation). Dynamic analysis is carried out by determining the equilibrium point, the basic reproduction number , stability analysis of the equilibrium point. The results of this study obtained a basic reproduction number . The disease-free equilibrium point is unstable and the endemic equilibrium point is unstable when the parameter values in table 4.1 are used. The results of numerical simulations show that the population of pathogens found in the body starts from the first day, which is 0.01, increases to 2.8 until the second week, decreasing constantly accompanied by the immune system in the human body so that it goes to 0 at infinity. While the immune defense population in the human body rises to 4.4 and decreases slowly and constantly following the development of pathogens in the human body accompanied by the immune system itself. And the pro-inflammatory inflammation population runs steadily at 0 to rises at 4.3 following human immune defense and falls at week 16 and continues to be consistent. The rate of inflammation follows a hyperbolic tan which is affected by when t is infinite towards . When the parameter values and are increased, the pro-inflammatory inflammation will decrease and vice versa.

DEKOMPOSISI GRAF POHON PISANG Bm,n Aji Sailendra, Alfi Istijap; Alisah, Evawati; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 2, No 1 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i1.14671

A decomposition of graph G is collection of subgraphs 〖{H_i}〗_(i=1)^n from G such that H_i [E_i] for E_i is a subset of E(G) and 〖{E_i}〗_(i=1)^n is a partition of E(G). The purpose of the research was to determine the decomposition of the banana tree graph B_(m,n), for m≥1 and n≥2. The research method used in this research is library research. The steps used to determine the decomposition of the banana tree graph B_(m,n) are as follow: (a) Draw a banana tree graph B_(m,n) and label each edge and vertex, (b) Determine the partition on the edges of the banana tree graph B_(m,n), (c) Induced subgraph of from partitions of the banana tree graph B_(m,n), (d) Determine the decomposition of the banana tree graph B_(m,n), (e) Tabulate a conjecture on the decomposition of the banana tree graph B_(m,n), (f) Construct theorem of the decomposition theorem of of the banana tree graph B_(m,n) and its proof. The result of the reasearch is with m≥1 and n≥2, because banana tree graph B_(m,n) is decomposed by the complete graph 〖mK〗_2-decomposition.

Pengaplikasian Prosedur Perhitungan untuk Menentukan Produksi Batik Tulis Madura Menggunakan Metode Fuzzy Database Model Tahani Miskaram, Muh Syarifuddin Syafiqy; Alisah, Evawati; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 3, No 2 (2023): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v3i2.22415

One of the subdivisions of fuzzy logic is the study of the fuzzy database with Tahani model which is described as a model used to process data searches based on operations in fuzzy set theory to obtain appropriate information so that the data search process becomes accurate. The research aims to implement the Fuzzy Database with Tahani Model in determining the appropriate variant of batik tulis with the specified criteria. The initial step of the research is fuzzification, namely determining the domain of each complete variables with intervals of numerical variables and linguistic variables. In this research some variables were used: the price of the cloth, the number of colors and the work durations. Each variable is divided based on the interval between the lowest data and the highest data so that the variable price of the cloth is divided into 4, the number of colors is 3, and the work durations is 5. Then determine the membership function, the variable price of cloth, the number of colors, and the work duration using a linear model and triangle in determining the degree of its membership. Data tabulation from strict sets to fuzzy sets with numerical variables and linguistic variables. In preparing the criteria, 60 rule bases are based on the theory of consumer needs for batik tulis. Not all rule bases occur, because the data collects only a few criteria. Determining the value of fire strength, using the AND rule means selecting the minimum degree of membership from the available. The recommendation results determine to sort the washing machine data that has the highest fire strength value to the smallest fire strength value from each criterion.

Operator Integral Fraksional yang diperumum pada Ruang Morrey yang diperumum Putri, Safira Nur Aulia; Rahman, Hairur; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 3, No 3 (2024): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v3i3.16973

The fractional integral operator or Riesz operator is a finite operator of the Lebesgue space. This fractional integral operator maps any real-valued function into the integral form of the fractional integral function. Morrey space is a collection of general form member functions of Lebesgue space. In this study, we will discuss the generalized fractional integral operator on a generalized Morrey space. The proof will be done using partitioned. It can be concluded that the generalized fractional integral operator on Morrey space generalized to Theorem A and Theorems B .

Ketaksamaan Operator Integral Fraksional yang Diperumum pada Ruang Morrey Tak Homogen yang Diperumum Azizah, Siti Rohmah; Rahman, Hairur; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 3, No 5 (2024): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v3i5.16970

A Fractional integral operator is one of the operators in mathematical analysis. Fractional integral operator itself maps any real-valued function into the integral form of the division of the at function. One of the expansion of fractional integral operator is generalized fractional integral operator. Morrey space is an extension of Lebesgue space. Morrey space is the set of all Lebesgue measurable functions, whose norm is finite over Morrey space. In this study, we will discuss the inequalities of the generalized fractional integral operator on a generalized non-homogeneous Morrey space. We proved of this inequality using the Chebyshev inequality and the Holder inequality.

Penggabungan Metode Fuzzy Simple Additive Weighting dengan Rank Order Centroid sebagai Pendukung Keputusan Penilaian Kemiskinan di Jawa Timur Wike, Wike Nur; Jauhari, Mohammad Nafie; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 3, No 1 (2023): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v3i1.22340

The purpose of this study is to determine the results of the combination of Fuzzy Simple Additive Weighting with Centroid Rank Order as a support for poverty assessment decisions in East Java Province. Using a combination of Fuzzy Simple Additive Weighting and Rank Order Centroid is expected to provide better results. Decision support systems can help the government to determine the poverty status of a district or city in poverty reduction. Poverty itself is an important problem in life in many provinces. The problem of poverty triggers social problems that are closely related to the quality of education, crime, hunger, and others, which cause indirect disruption of stability and sustainability. Therefore, a decision support system is needed to make it easier for the government to determine the poorest districts or cities so that the government can aid programs or make strategies to reduce poverty. Fuzzy logic is a method that can be used to overcome uncertainty in decision making. One method in fuzzy logic to overcome uncertainty is to use the Fuzzy Simple Additive Weighting method. In the Fuzzy Simple Additive Weighting method, there is a selection of criteria that will later be weighted based on importance or priority using the Rank Order Centroid method. The criteria used in this study are life expectancy (AHH), literacy rate (AMH), per capita expenditure, and population. The membership function used is the Tringular Fuzzy Number representation. In this study, twenty four rules were given which were obtained from giving different weights to each criterion. So that twenty four of the poorest districts or cities were obtained. Then the final result is the name of the most Regency or City from the twenty four results, namely alternatives twenty seven and twenty eight, namely Sampang Regency and Pamekasan Regency which were entitled to assistance programs from the government.

Analisis Dinamik Model Sel Kanker Prostat dengan Terapi Vaksin Kuratif Mawaddah, Siti Sakinah; Pagalay, Usman; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 3, No 2 (2023): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v3i2.22456

Prostate cancer is a type of cancer that occurs in men and requires an effective therapeutic approach. Treatment of prostate cancer depends on the stage at diagnosis. In advanced stages of prostate cancer can be treated with hormone therapy such as chemotherapy which is then followed by vaccine therapy which aims to help increase the body's immune system response to prostate cancer cells. This model consists of a system of ordinary differential equations with five variables used, including androgen-dependent prostate cancer cells, androgen-independent prostate cancer cells, dendritic cells, effector cells, and curative vaccines. Then two equilibrium point conditions are produced, when there is no vaccine for disease free conditions and endemic conditions , then when the vaccine there are three equilibrium conditions namely disease free , side effects and local existence between prostate cancer cells with vaccine . The results of the stability analysis for each equilibrium point show that when , the condition is global asymptotic, while the condition is stable because the eigenvalue is negative. When for the condition it is unstable because the two roots are positive, then for the condition it is global asymptotic and for the condition it is asymptotically local because all the eigenvalues are negative. The numerical simulations of equilibrium points obtained using the fourth order runge-kutta method according to different q parameter values show that the larger the dendritic cells and effector cells activated, the greater the vaccine that enters the body, resulting in immune cells that will fight prostate cancer cells.

Penentuan Rute Terpendek Di Kantor Pos Kabupaten Blitar Dalam Pendistribusian Paket Menggunakan Algoritma Clarke And Wright Savings Puji Wianto, Wildan Faried Anshoriy; Juhari, Juhari; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 2, No 6 (2023): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i6.22413

Marketing strategy is a very important part in the execution of the overall corporate strategy, especially in a very tight competitor state. Route is a very important aspect considered by goods distribution companies. An effective and efficient distribution process is one of the factors whose conditions begin to align with other indicators in an effort to achieve customer satisfaction. The strategy that can be done is to involve calculating algorithms in contributing systematic and measurable solutions. The Clarke and Wright Savings algorithm is an effective method in determining the shortest route of distributing goods, because the Clarke and Wright Savings method has its own heuristics which make savings in the form of mileage or distribution time. This study aims to determine the shortest route at the Blitar checkpoint post office (KPRK) in distributing express service type bags to each branch post office point (KPC) using the Clarke and Wright Savings Algorithm. The results of the discussion on the application of the Clarke and Wright Savings method to determine the shortest route for the service bag distribution fleet from the KPRK Blitar post office to KPC can be concluded that, there are two initial routes owned by the company with a total delivery distance of 189.7 km. After calculation, two routes with the shortest distance will be traveled with a total delivery distance of 171 km. Route group 1 is Blitar Post Office à KPC Garum à KPC Nglegokà KPC Gandusarià KPC Talun KPC Wlingi à KPC Doko à KPC Kesamben à KPC Selopuroà KPC Binangun à KPC Kanigoro à KPC Lodoyo à KPC Kademangan à Post Office with a distance of 116.7 km. As for route 2, namely the blitar post office à KPC Sanan Kulon à KPC Ponggok à KPC Srengat à KPC Kademangan à KPC Udanawu à Blitar post office with a distance of 54.3 km. With the establishment of routes with the closest distance, the company can save mileage by 9.85%.

The Influence of Perception of Halal Labels and Brand Image on Cosmetic Purchasing Decisions Among Millennials Hakim, Abdul; Sugihantoro, Hajar; Maulina, Novia; Nasichuddin, Achmad; Setiawan, Abdul Malik; Nicotiana, Diah Ayu
Indonesian Journal of Halal Research Vol 6, No 2 (2024): August
Publisher : UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/ijhar.v6i2.37077

The cosmetics industry consistently requires up-to-date research to develop effective marketing strategies that attract consumers and build their trust. This research aims to analyze how Millennials perceive halal labels and brand image in relation to their purchasing decisions for cosmetics. The study utilized an associative research method with a quantitative approach, employing purposive sampling and a questionnaire as its instrument. Data was processed using structural equation modeling-partial least squares (SEM-PLS) analysis. The findings indicate a strong positive correlation between the perception of halal labels and Millennials' purchasing decisions for cosmetics, as halal certification is a crucial factor for this demographic. Additionally, the study found that a positive brand image also significantly influences purchasing decisions, as consumers prefer products that are recognized for their quality, safety, and popularity. The practical implications for the cosmetics industry are evident: understanding the factors that drive purchasing decisions can help companies make the best strategic choices. It is recommended that companies consistently maintain halal certification on their products and focus on building a strong brand image, as both factors play a critical role in influencing consumer decisions.

Pengembangan Algoritma A-Star dengan Penyesuaian Heuristik untuk Pencarian Rute Optimal Sukroni, Achmad Faiz; Juhari, Juhari; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 4, No 2 (2024): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v4i2.31208

The The A-Star algorithm is one of the most popular shortest route search algorithms due to its effectiveness in finding optimal solutions. This study focuses on modifying the A-Star algorithm to improve its performance in optimizing the shortest route. The study was conducted by comparing the standard A-Star algorithm and its modified version based on the number of iterations required to reach the optimal solution. The assessment was carried out manually and through a computer program using sample data from tourist locations in Blitar as a case study. The results of the analysis in 20 comparative experiments showed that the modified A-Star algorithm was able to minimize the number of iterations by up to 32% compared to the standard A-Star algorithm. This finding indicates that the modifications made to the A-Star algorithm can increase efficiency without reducing the accuracy of the results. This study provides an important contribution to the development of shortest route search algorithms, especially in their application to the tourism sector and navigation systems.

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