Article Per Year (5 Year)
p-Index From 2021 - 2026
2.502
P-Index
This Author published in this journals
All Journal TELKOMNIKA (Telecommunication Computing Electronics and Control) UNEJ e-Proceeding Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi) BAREKENG: Jurnal Ilmu Matematika dan Terapan Contemporary Mathematics and Applications (ConMathA) Jambura Journal of Biomathematics (JJBM) Journal of Sustainability Perspectives Limits: Journal of Mathematics and Its Applications Jambura Journal of Biomathematics (JJBM)
Fatmawati, Fatmawati
Airlangga University
Arts Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Public Health Transportation

Published : 22 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 22 Documents
Search

 1   2   3 
Polinomial Pembangun dari Ideal dan Dimensi dari Kode Siklik Tuhfatul Janan; Tuhfatul Janan; Tuhfatul Janan; Tuhfatul Janan; Mohammad Imam Utoyo; Fatmawati Fatmawati
Contemporary Mathematics and Applications (ConMathA) Vol. 3 No. 2 (2021)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v3i2.29887

Abstract

Dalam penelitian ini, diberikan hubungan antara ideal dan kode siklik serta sifat-sifat polinomial pembangun dari ideal dan dimensi dari kode siklik. Sifat-sifat tersebut antara lain hubungan antara polinomial pembangun dari ideal dengan polinomial monik dengan derajat terkecil di ideal, eksistensi dan ketunggalan dari polinomial pembangun dari ideal, hubungan antara polinomial pembangun dari ideal dengan pembagi monik dari , dan hubungan antara derajat dari polinomial pembangun dari ideal dan dimensi dari kode siklik.
Polinomial Pembangun dari Ideal dan Dimensi dari Kode Siklik Tuhfatul Janan; Tuhfatul Janan; Tuhfatul Janan; Tuhfatul Janan; Mohammad Imam Utoyo; Fatmawati Fatmawati
Contemporary Mathematics and Applications (ConMathA) Vol. 3 No. 2 (2021)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v3i2.29887

Abstract

Dalam penelitian ini, diberikan hubungan antara ideal dan kode siklik serta sifat-sifat polinomial pembangun dari ideal dan dimensi dari kode siklik. Sifat-sifat tersebut antara lain hubungan antara polinomial pembangun dari ideal dengan polinomial monik dengan derajat terkecil di ideal, eksistensi dan ketunggalan dari polinomial pembangun dari ideal, hubungan antara polinomial pembangun dari ideal dengan pembagi monik dari , dan hubungan antara derajat dari polinomial pembangun dari ideal dan dimensi dari kode siklik.
Polinomial Pembangun dari Ideal dan Dimensi dari Kode Siklik Tuhfatul Janan; Tuhfatul Janan; Tuhfatul Janan; Tuhfatul Janan; Mohammad Imam Utoyo; Fatmawati Fatmawati
Contemporary Mathematics and Applications (ConMathA) Vol. 3 No. 2 (2021)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v3i2.29887

Abstract

Dalam penelitian ini, diberikan hubungan antara ideal dan kode siklik serta sifat-sifat polinomial pembangun dari ideal dan dimensi dari kode siklik. Sifat-sifat tersebut antara lain hubungan antara polinomial pembangun dari ideal dengan polinomial monik dengan derajat terkecil di ideal, eksistensi dan ketunggalan dari polinomial pembangun dari ideal, hubungan antara polinomial pembangun dari ideal dengan pembagi monik dari , dan hubungan antara derajat dari polinomial pembangun dari ideal dan dimensi dari kode siklik.
Model Matematika SEAR dengan Memperhatikan Faktor Migrasi Terinfeksi untuk Kasus COVID-19 di Indonesia E Andry Dwi Kurniawan; Fatmawati; Aprilia Dianpermatasari
Limits: Journal of Mathematics and Its Applications Vol. 18 No. 2 (2021): Limits: Journal of Mathematics and Its Applications Volume 18 Nomor 2 Edisi No
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Dalam paper ini, dikonstruksi sebuah model matematika SEAR ( Susceptible , Exposed, Acute, Recovery ) penyebaran COVID-19 dengan memperhatikan faktor migrasi yang terinfeksi. Dilakukan estimasi parameter dari model matematika SEAR berdasarkan data perkembangan penyebaran COVID-19 di Indonesia . Dari hasil estimasi, niali basic reproduction number () untuk mengetahui laju penyebaran COVID-19 di Indonesia juga ditentukan. Berdasarkan hasil simulasi numerik terlihat bahwa faktor migrasi memberikan pengaruh yang signifikan terhadap penyebaran kasus COVID-19 di Indonesia
Pendekatan Numerik pada Model Penyebaran SARS dengan Method of Lines Patria Arif Bijaksana; Windarto; Fatmawati
Limits: Journal of Mathematics and Its Applications Vol. 15 No. 1 (2018): Limits: Journal of Mathematics and Its Applications Volume 15 Nomor1 Edisi Mar
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Pada paper ini dikaji pendekatan numerik model matematika penyebaran SARS dengan adanya suku difusi. Suku difusi pada model tersebut mengilustrasikan penyebaran SARS berdasarkan lokasi. Solusi numerik dilakukan dengan menggunakan Method of Lines. Selanjutnya dibandingkan hasil simulasi numerik antara model penyebaran SARS tanpa suku difusi dan dengan adanya suku difusi. Hasil simulasi dari model penyebaran penyakit SARS tanpa suku difusi hanya menunjukkan terjadinya penyebaran SARS secara periodik waktu. Berdasarkan hasil simulasi pada model SARS dengan adanya suku difusi dapat diketahui bahwa penyebaran SARS dapat ditinjau dari titik awal penyebaran SARS secara spasial dan juga perodik waktu. Lebih lanjut, dari hasil simulasi menunjukkan bahwa semakin jauh dari pusat penyebaran SARS, laju penyebaran penyakit SARS akan semakin kecil
Model Matematika Persaingan Dua Spesies dengan Toksisitas dan Pemanenan Selektif Puja Nur Audria; Miswanto; Fatmawati
Limits: Journal of Mathematics and Its Applications Vol. 16 No. 2 (2019): Limits: Journal of Mathematics and Its Applications Volume 16 Nomor 2 Edisi De
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Persaingan merupakan interaksi biologi antar makhluk hidup untuk bersaing mendapatkan sumber energi yang terbatas, misalnya makanan yang dibutuhkan untuk tumbuh dan bertahan hidup. Beberapa spesies mempunyai strategi tersendiri dalam bersaing, diantaranya adalah kemampuan mengeluarkan racun. Pada jurnal ini, dikaji dua model predator-prey yang dipengaruhi oleh adanya toksisitas dan pemanenan selektif. Model pertama mengkaji model persaingan dua spesies dengan adanya toksisitas dan pemanenan selektif, sedangkan model kedua mengkaji model persaingan dua spesies dengan adanya toksisitas dan pemanenan selektif dengan Holling tipe III. Dari model pertama diperoleh 4 titik setimbang yaitu dan Dari model kedua juga diperoleh 4 titik setimbang, yaitu dan . Titik setimbang dan tidak stabil, sedangkan , dan stabil dalam kondisi tertentu. Hasil simulasi numerik menunjukkan bahwa kedua spesies pada model kedua mengalami peningkatan dibandingkan dengan model pertama. Hal tersebut dikarenakan adanya kecenderungan untuk mencari musuh yang lain ketika jumlah musuh mulai berkurang
Optimal control of HIV transmission model with pre-ART counselling and treatment Mohamad Syafi'i; Fatmawati; Ahmadin; Chidozie Chukwu
Jambura Journal of Biomathematics (JJBM) Vol. 7 No. 1: March 2026
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v7i1.17

Abstract

HIV attacks CD4 cells of the immune system, leading to progressive immune deficiency. Antiretroviral therapy (ART) involves the use of HIV drugs to treat HIV infection and is administered daily to slow disease progression. This paper aims to develop and analyze a mathematical model of HIV transmission that incorporates pre-antiretroviral therapy counselling and HIV treatment to reduce the number of HIV-infected individuals with high-risk behaviours for HIV transmission. A nonlinear dynamical system is constructed, and model parameters are estimated from Indonesia’s annual HIV case data using a genetic algorithm method. The model exhibits two equilibrium points: the disease-free equilibrium and the endemic equilibrium. Stability analysis shows that disease-free equilibrium is globally asymptotically stable when the basic reproduction number is less than one. Optimal control theory is applied to a system that consists of two time-dependent controls, pre-antiretroviral therapy counselling and HIV treatment. Healthcare professionals provide pre-antiretroviral therapy counselling to help people with HIV understand the disease and the benefits of antiretroviral therapy. Pontryagin's maximum principle is employed to derive optimal control conditions. The optimal control problem is numerically solved using the forward–backward sweep method with a fourth-order Runge–Kutta scheme. Three potential strategies were developed and investigated in our simulation. Implementing the two combined controls could significantly reduce the number of HIV-infected individuals and improve overall disease control in the population.
A MATHEMATICAL MODEL OF DIPHTHERIA TRANSMISSION DYNAMICS WITH HETEROGENEOUS SUSCEPTIBILITY Mohamad Tafrikan; Fatmawati Fatmawati; Windarto Windarto; Chinwendu E. Madubueze
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 3 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss3pp1967-1984

Abstract

Despite the availability of vaccines, diphtheria continues to pose a public health risk in Indonesia due to uneven vaccination coverage across regions. Previous models have not distinguished between highly susceptible (unvaccinated) and susceptible (vaccinated) populations, nor have they been calibrated with actual Indonesian epidemiological data. To address this gap, this study develops a five-compartment diphtheria transmission model: Highly susceptible (unvaccinated)-Susceptible (vaccinated)-Exposed-Infectious-Recovered (S_1 S_2 EIR), which incorporates two levels of susceptibility based on vaccination status, using empirical diphtheria case data in Indonesia from 2012 to 2023. The analysis begins by proving the positivity, boundedness, and uniqueness of solutions, followed by the calculation of the basic reproduction number using the Next-Generation Matrix method. The analysis shows that the disease-free equilibrium (DFE) is locally and globally asymptotically stable when R₀<1, while the endemic equilibrium (EE) is globally stable when R₀>1. Simulations indicate that the interaction parameter for the unvaccinated group η₁, strongly accelerates epidemic growth, leading to a higher and earlier infection peak, whereas increased vaccination coverage and recovery rates effectively suppress transmission. This model can be used because the Mean Absolute Percentage Error (MAPE) between the data and the model solution for diphtheria cases in Indonesia is 8.77%. These results highlight the importance of interventions focused on highly susceptible groups to prevent more severe outbreaks. Therefore, this study is significant in strengthening the theoretical understanding of diphtheria transmission, while also providing data-driven insights as recommendations for policymakers to implement effective and efficient outbreak control measures.
Inventory of Greenhouse Gas Emissions in the Energy Sector in Gili Iyang Island, Sumenep Regency Using the IPCC 2006 Method Wahid Dianbudiyanto; Nurina Fitriani; Rezhyta Nahatya Shalva; Fatmawati Fatmawati; Dwi Ratri Mitha Isnadina; M Bagas Pramudya Pratama; Danar Arifka Rahman; Rinaldy Jose Nathanael; Dio Alif Hutama
Journal of Sustainability Perspectives Vol 5, No 1 (2025)
Publisher : Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jsp.2025.24041

Abstract

Global warming comes from many human activities, such as the burning of fossil fuels and the use of energy can produce Greenhouse Gases. The energy sector itself is the largest contributor of greenhouse gases in the world. This study aims to determine the greenhouse gas emissions produced in the energy sector on Gili Iyang Island. To be able to determine the greenhouse gas emissions produced in the energy sector on Gili Iyang Island, the IPCC 2006 calculation method was used. In this method, primary data is needed in the form of data on energy and fuel consumption activities of residents and secondary data in the form of the number of families on Gili Iyang Island. In the stationary source itself, CO2 gas emissions are produced at 1,438,259.9 Kg/Year, CH4 gas at 324.164 Kg/Year, and N2O gas at 12.486 Kg/Year. Meanwhile, moving sources produce CO2 gas emissions of 510,339.1052 Kg/Year, CH4 gas of 191.363 Kg/Year, and N2O gas of 20.969 Kg/Year. As for mitigation actions that can be taken based on its topography and climate, Gili Iyang Island has the potential to use solar panels and biogas as alternative energy and fuel sources to meet daily needs.
Overseas Smart City Short Course of Airlangga and International Community Service: The Role of Science and Technology Towards Smart City Nurina Fitriani; Fatmawati Fatmawati; Tabina Arqika Samiaji; Wahid Dianbudiyanto; Dio Alif Hutama; Eko Prasetyo Kuncoro
Journal of Sustainability Perspectives Vol 4, No 2 (2024)
Publisher : Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jsp.2024.21377

Abstract

The smart city concept emerged as an alternative solution to overcome the negative impacts of urbanization in big cities, based on the concept of sustainable development. A smart city is a city that can utilize human resources, social capital, and modern telecommunications infrastructure to achieve sustainable economic growth and high quality of life through wise management of resources by the government based on community participation. Jombang has not been managed optimally due to a lack of digital exposure and promotion. Based on these problems, the Faculty of Science and Technology, Airlangga University will organize an international community service program in Jombang to introduce culture and tourism in Jombang to the world through international students and transfer knowledge regarding the application of smart tourism to increase tourism promotion in Jombang. This community service program was carried out together with international students who will first be given an introduction and knowledge of the smart city concept and its application at Universitas Airlangga and the City of Surabaya through a short course. Then the students will be invited to visit the tourist and cultural village in Jombang to transfer knowledge to the local community regarding the application of the smart tourism concept to promote tourism potential in Jombang.
Co-Authors Adiluhung Setya Pambudi Ahmadin Alfiniyah, Cicik Aprilia Dianpermatasari Aprilia Dianpermatasari Chidozie Chukwu Chinwendu E. Madubueze Danar Arifka Rahman Dianbudiyanto, Wahid Dio Alif Hutama Dio Alif Hutama Dwi Ratri Mitha Isnadina E Andry Dwi Kurniawan E. Andry Dwi Kurniawan Eko Prasetyo Kuncoro Herry Suprajitno Herry Suprijanto Inna Kuswandari Khadija Jamil Kiswara A. Santoso M Bagas Pramudya Pratama M. Miswanto Mohamad Syafi&#039;i Mohamad Tafrikan Mohammad Imam Utoyo Muhammad Abdurrahman Rois Muhammad Farman Muhammad Hafizh Athari Nenik Estuningsih, Nenik NUrina Fitriani, NUrina Patria Arif Bijaksana Patria Arif Bijaksana Prisma Megantoro Puja Nur Audria Puja Nur Audria Retna Apsari Rezhyta Nahatya Shalva Rinaldy Jose Nathanael Sofita Suherman Syaharuddin Syaharuddin Syaharuddin Syaharuddin Tabina Arqika Samiaji Wahid Dianbudiyanto Windarto Yeni Kustiyahningsih