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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Jurnal Daya Matematis Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Desimal: Jurnal Matematika Advances in Food Science, Sustainable Agriculture and Agroindustrial Engineering (AFSSAAE) Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat) InPrime: Indonesian Journal Of Pure And Applied Mathematics Pedagogy : Jurnal Pendidikan Matematika

Kasbawati Kasbawati

Industrial & Financial Mathematics Research Group, Institut Teknologi Bandung, Jl. Ganesha 10, Bandung 40132, Indonesia Department Of Mathematics, Hasanuddin University, Jl. P. Kemerdekaan Km. 10 Makassar 90245, Indonesia

Author-ID : 2735337

Agriculture, Biological Sciences & Forestry Arts Humanities Computer Science & IT Education Engineering Immunology & microbiology Industrial & Manufacturing Engineering Mathematics Mechanical Engineering Public Health Social Sciences Other

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Analisis Kestabilan Model Matematika Penyebaran Penyakit Tuberkulosis yang Koinfeksi Diabetes Melitus dengan Pengobatan strategi DOTS Mutmainnah Syamsul; Syamsuddin Toaha; Kasbawati Kasbawati
Jurnal Matematika, Statistika dan Komputasi Vol. 18 No. 3 (2022): MAY, 2022
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v18i3.19523

Tuberculosis (TB) is an infectious disease caused by the bacterium Mycobacterium tuberculosis. Patients with symptoms of TB can be caused by immune disorders such as diabetes mellitus infection. Patients with diabetes mellitus can affect the clinical symptoms of TB patients and are associated with a slow response to TB treatment. This study aims to analyze and determine the stability of the equilibrium point of the TB disease spread model coinfected with DM by considering nine compartments, namely susceptible TB without DM, exposed TB without DM, infected TB without DM, recovered TB without DM, susceptible TB with DM, exposed TB with DM, infected TB with DM, recovered TB with DM, and treatment with DOTS. The research method used is a qualitative method by determining the basic reproduction number obtained with next generation matrix method to analyze the stability of the non-endemic and endemic equilibrium points. The non-endemic and endemic equilibrium points are said to be locally asymptotically stable if , and unstable if .The results obtained from sensitivity analysis show that the spread of disease can be reduced and eliminated if treated with DOTS in the infected compartment.

Stability Analysis of Mathematical Model on HIV Infection with the Effects of Antiretroviral therapy Lilis Dwi Sapta Aprilyani; Kasbawati Kasbawati; Syamsuddin Toaha
Jurnal Matematika, Statistika dan Komputasi Vol. 17 No. 1 (2020): JMSK, SEPTEMBER, 2020
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/jmsk.v17i1.9239

HIV is a retrovirus, a virus which has enzymes and can convert genetic material from RNA to DNA. Antiretroviral therapies are the treatment to make the activity of the virus slow. The purpose of this article is to develop a mathematical model of HIV infection by reviewing antiretroviral therapy, analyze the equilibrium point, and determine the effectiveness of antiretroviral therapy. There are two equilibrium points in this HIV infection model, namely infection-free equilibrium and infected equilibrium. Numerical simulations are carried out based on selected parameters showed that infection free equilibrium is reached when the effectiveness of antiretroviral therapy is 0,4 for RT inhibitor and 0,3 for Protease Inhibitor. This means that antiretroviral therapy may change infected conditions to infection free conditions.

Analisis Kestabilan dan Bifurkasi pada Model Matematika Penyebaran Penyakit Meningitis dengan Perlakuan Vaksinasi dan Pengobatan Rabiatul Adawiyah; Syamsuddin Toaha; Kasbawati Kasbawati
Jurnal Matematika, Statistika dan Komputasi Vol. 18 No. 3 (2022): MAY, 2022
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v18i3.19714

Meningitis is an infectious disease that occurs in inflammation of the meninges and the spinal cord in consequence of bacteria and viruses. Vaccination and treatment using antibiotics is used to increase growth rate in infected people so that the spread rate can be reduced. This study aims to see the effect of vaccination and treatment using some compartments: susceptible, carrier, infected without symptoms, infected with symptoms, recovery without disability, and recovery with disability; show the sensitivity analysis in order to discover the parameter that affect basic reproduction number and bifurcations analysis. The result from sensitivity found the relation between parameter and that can increase and decrease the value. This study also showed the influence of stability change from equilibrium point caused by the parameter value change form bifurcations analysis. Models simulation show that the effect of vaccination and treatmen for spread of meningitis can be handled.

Optimal Control of Mathematical Models on The Dynamics Spread of Drug Abuse Nita Anggriani; Syamsuddin Toaha; Kasbawati Kasbawati
Jurnal Matematika, Statistika dan Komputasi Vol. 17 No. 3 (2021): May, 2021
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v17i3.12467

This article examines the optimal control of a mathematical model of the spread of drug abuse. This model consists of five population classes, namely susceptible to using drugs (S), light-grade drugs (A), heavy-grade drugs (H), medicated drugs (T), and Recovery from drugs (R). The system is solved using the Pontryagin minimum principle and numerically by the forward-backward sweep method. Numerical simulations of the optimal problem show that with the implementation of anti-drug campaigns and strengthening of self-psychology through counseling, the spread of drug abuse can be eradicated more quickly. The implementation of campaigns and strengthening of self-psychology through large amounts of counseling needs to be done from the beginning then the proportion can be reduced until a certain time does not need to be given anymore. The use of control in the form of strengthening efforts to self-psychology through counseling means that it needs to be done in a longer time to prevent the spread of drug abuse.

Kontrol Optimal Upaya Pencegahan Infeksi Virus Flu Burung H5N1 dalam Populasi Burung dan Manusia Kasbawati Kasbawati
Jurnal Matematika, Statistika dan Komputasi Vol. 8 No. 1: July 2011
Publisher : Department of Mathematics, Hasanuddin University

Pada penelitian ini dikaji mengenai aplikasi dari teori kontrol optimal pada sistem persamaan differensial dari model matematika penyakit flu burung yang telah dibentuk. Pada penelitian sebelumnya diketahui bahwa penyebaran virus flu burung sangat bergantung pada keberadaan populasi yang infektif sehingga perlu dilakukan pengontrolan terhadap populasi tersebut melalui suatu treatment tertentu. Teori kontrol optimal diaplikasikan pada model untuk mendapatkan bentuk kontrol yang optimal sehingga jumlah populasi yang infektif dapat ditekan secara maksimal. Target utama yang akan dicapai pada penelitian ini adalah menemukan bentuk kontrol optimal yang tunggal yang mana kontrol optimal tersebut dapat digambarkan sebagai tingkat efisiensi dari vaksinasi pada burung sehat dan pengobatan pada penderita flu burung yang dilakukan untuk menurunkan jumlah infeksi dan mencegah terciptanya infeksi baru dalam sistem.

Pembelajaran Matematika Melalui Metode Bermain Erawaty, Nur; Thoha, Syamsuddin; B., Hasmawati; Kasbawati, Kasbawati; Aris, Naimah; Sirajang, Nasrah; Sahriman, Sitti; Anwar, Andi M.; Aidawayati, Aidawayati; Jusmawati, Jusmawati; Saputra, Edy
JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat) Vol 3 No 2 (2019): JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat)
Publisher : Dewan Pimpinan Daerah (DPD) Forum Dosen Indonesia JATIM

The achievement of Mathematics contestants from the City of Makassar is very concerning. In March 2018 elementary school mathematics competition was held. Of the 186 participants from Makassar, there were only 56 students who got scores above zero. Only about 30%. Other students get zero or less than zero (negative). There was a decrease in interest and achievement in Mathematics in elementary school students in Makassar. The solution offered was training for Mathematics Elementary School teachers by emphasizing learning method with playing. This is intended so that children have enjoyed Mathematics from the beginning so that in the future the interest in learning Mathematics will be even greater.

Peningkatan Kualitas Pembelajaran Matematika Bagi Guru SMA Melalui Media Google Classroom dan Geogebra Aris, Naimah; Erawaty, Nur; Massalesse, Jusmawati; Sirajang, Nasrah; Wahda, Wahda; Kasbawati, Kasbawati; Thamrin, Sri Astuti; Sahriman, Sitti; Ramadhan, Muh. Nur Bahri; Jaya, A. Kresna
JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat) Vol 3 No 2 (2019): JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat)
Publisher : Dewan Pimpinan Daerah (DPD) Forum Dosen Indonesia JATIM

The involvement of teachers in Bone Regency in using information and communication technology (ICT) to prepare teaching materials is very little or even never said, even though computer facilities and infrastructure are available in the computing lab. This activity aims to provide knowledge to Mathematics teachers about online learning Google Classroom and Geogebra. The use of Google Classroom will make learning more effective for teachers and students because learning is no longer limited by space and time, student can explore learning resources easily and utilize information technology properly. Likewise, Geogebra training is expected to overcome the difficulties of teachers in visualizing concept charts in mathematics dynamically. The target audience for community service is mathematics teachers who are members of the Mathematics MGMP in Bone Regency.

Pembelajaran Matematika Berbasis Komputer Untuk MGMP Matematika SMP Di Kabupaten Pangkajene dan Kepulauan Haryanto, Loeky; Mahie, Andi Galsan; Amir, Amir Kamal; Aris, Naimah; Kasbawati, Kasbawati
JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat) Vol 3 No 1 (2019): Vol 3 No 1 (2019): JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat)
Publisher : Dewan Pimpinan Daerah (DPD) Forum Dosen Indonesia JATIM

Computers as learning media have become mandatory in the teaching and learning process. Mathematical learning in which the field of study is abstract and requires logical thinking is also inseparable from computer learning media. Many software made to facilitate mathematics learning activities, among others: Geogebra, Microsoft Mathematic, Maple, Matlab, SAS, SPSS etc. The dedication activities have been carried out by the Mathematics Department of FMIPA in collaboration with the Hasanuddin University Research and Community Service Institute (Lp2M) in Mathematics Subject Teacher (MGMP) at the junior high School in Pangkajene and Kepulauan District (Pangkep) held in the Junior High School 4 hall with a number of participants as many as 30 teachers from 23 various junior high schools in Pangkep Regency who are members of the MGMP. The purpose of this activity is to improve the ability of junior high school mathematics teachers in Pangkep Regency to use computer-based learning media such as Maple and Matlab. The material provided was training on Maple and Matlab software to support mathematics learning. The results of this activity can improve the ability of mathematics teachers to master mathematical material assisted by software.

Metode Pembelajaran Matematika dengan Permainan di Kotamadya Pare-pare Erawaty, Nur; Amir, Amir Kamal; Aris, Naimah; Kasbawati, Kasbawati; Sahriman, Sitti; Rangkuti, Aidawayati
JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat) Vol 2 No 2 (2018): JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat)
Publisher : Dewan Pimpinan Daerah (DPD) Forum Dosen Indonesia JATIM

The achievement of Mathematics contestants from the City of Pare-pare is very concerning. In February 2017elementary school mathematics competition was held. Of the 82 participants from Pare-pare, there were only 13 studentswho got scores above zero. Other students get zero or less than zero (negative). In March 2018, from 17 MathematicsEvent XVIII 2018 participants from Pare-pare, only 5 students had got positive scores. There was a decrease in interestand achievement in Mathematics in elementary school students in Pare-pare. The solution offered was training forMathematics Elementary School teachers by emphasizing learning method with playing. This is intended so that childrenhave enjoyed Mathematics from the beginning so that in the future the interest in learning Mathematics will be evengreater

Stability Analysis of Divorce Dynamics Models Syamsir Muaraf; Syamsuddin Toaha; Kasbawati Kasbawati
Jurnal Matematika, Statistika dan Komputasi Vol. 17 No. 2 (2021): JANUARY 2021
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/jmsk.v17i2.11984

This article examines the mathematical model of divorce. This model consists of four population classes, namely the Married class (M), the population class who experiences separation of separated beds (S), the population class who is divorced by Divorce (D), and the population class who experiences depression or stress due to divorce Hardship (H). This study focuses on the stability analysis of divorce-free and endemic equilibrium points. Local stability was analyzed using linearization and eigenvalues methods. In addition, the basic reproduction number is provided via the next generation matrix method. The existence and stability of the equilibrium point are determined from . The results showed that the rate of interaction between population M and populations other than H is very influential on efforts to minimize divorce. Divorce can be minimized when the transmission rate is reduced to . Reducing the transmission rate and increasing the rate of transfer from split bed class to married class can turn divorce endemic cases into non-endemic cases. A numerical simulation is given to confirm the analysis results.

Co-Authors A. Muh. Amil Siddik A. Yusnaeni Afifah Afifah Agus Try Hartono Aidawayati, Aidawayati Ainun Mawaddah Abdal Amir Kamal Amir Amira Wahid Andi Utari Samsir Anisa Anisa Anna Islamiyati Anting Wulandari Antonin Robinet Anwar, Andi M. B., Hasmawati Budi Mandra Harahap Dwi Meldya Lestari Edy Saputra Rusdi Efri Mardawati Emilda Ayu Febrianti Faisah Faisah Febriyanti, Himmatul Ulya Febryanti Febryanti Haryanto, Loeky Herlina Ahmad I Gusti Agung Komang Diafari Djuni Hartawan Irma Andriani Irwan Akib Jaya, A. Kresna Jusmawati Jusmawati, Jusmawati Jusmawati Massalesse Khaeruddin Khaeruddin Khaled Chetehouna Lilis Dwi Sapta Aprilyani Mahie, Andi Galsan Muhammad Rifki Nisardi Muralia Hustim Musdalifa Pagga Mutmainnah Syamsul Naimah Aris Naimah Aris Najhah Aris Natasha Putri Siahaan Nita Anggriani Nola Curex Nur Erawaty Nur Erawaty Nur Suci Ramadhani Nurdin Nurdin Nurul Aulia Bohari Okta Nofri Oswaldus Dadi Rabiatul Adawiyah Ramadhan, Muh. Nur Bahri Rangkuti, Aidawayati Rian Ade Pratama Sahriman, Sitti Silvia Yudiastuti Sirajang, Nasrah Sitti Sahriman Sri Astuti Thamrin Sri Suhartini Sulma Sulma Suriani Suriani Syamsir Muaraf syamsuddin Toaha Syamsuddin Toaha Syamsuddin Toaha Syamsul Agus Thoha, Syamsuddin Toaha Syamsuddin Toaha Toaha Wahda, Wahda Yusrianto Yusrianto

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