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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 JTAM (Jurnal Teori dan Aplikasi 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 Journal of Fundamental Mathematics and Applications (JFMA)
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
Agriculture, Biological Sciences & Forestry Arts Humanities Computer Science & IT Decision Sciences, Operations Research & Management Education Engineering Immunology & microbiology Industrial & Manufacturing Engineering Mathematics Mechanical Engineering Public Health Social Sciences Other

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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

Abstract

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.
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

Abstract

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.
Dynamics Analysis of Modified Leslie-Gower Model with Simplified Holling Type IV Functional Response Nur Suci Ramadhani; Toaha Toaha; Kasbawati Kasbawati
Jurnal Matematika, Statistika dan Komputasi Vol. 18 No. 1 (2021): September 2021
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v18i1.13881

Abstract

In this paper, the modified Leslie-Gower predator-prey model with simplified Holling type IV functional response is discussed. It is assumed that the prey population is a dangerous population. The equilibrium point of the model and the stability of the coexistence equilibrium point are analyzed. The simulation results show that both prey and predator populations will not become extinct as time increases. When the prey population density increases, there is a decrease in the predatory population density because the dangerous prey population has a better ability to defend itself from predators when the number is large enough.
Kontrol Optimal Model Matematika Merokok dengan Perokok Berhenti Sementara dan Perokok Berhenti Permanen Andi Utari Samsir; Syamsuddin Toaha; Kasbawati Kasbawati
Jurnal Matematika, Statistika dan Komputasi Vol. 18 No. 1 (2021): September 2021
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v18i1.13974

Abstract

Abstract This article discusses the optimal control of a mathematical model on smoking. This model consists of six population classes, namely potential to become smoker  snuffing class  irregular smokers regular smokers  temporary quitters  and permanent quitters  The completion of this research uses the Pontryagin minimum principle and numerically using the forward-backward Sweep method. Numerical simulations of the optimal problem show that with the implementation of education campaigns and anti-nicotine medicine, the smokers can be decreased more quickly and the smoking population who quit permanently can be increased. The implementation of both through large amounts needs to be done from the beginning. The use of control in the form of education campaigns is of great value until the end of the research period means that it needs to be done continuously to reduce the number of smokers in the population.  
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

Abstract

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.
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

Abstract

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.
Analytical Study of the Existence of a Hopf Bifurcation in the Tumor Cell Growth Model with Time Delay A. Yusnaeni; Kasbawati Kasbawati; Toaha Syamsuddin
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol 3, No 1 (2021)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v3i1.19515

Abstract

AbstractIn this paper, we study a mathematical model of an immune response system consisting of a number of immune cells that work together to protect the human body from invading tumor cells. The delay differential equation is used to model the immune system caused by a natural delay in the activation process of immune cells. Analytical studies are focused on finding conditions in which the system undergoes changes in stability near a tumor-free steady-state solution. We found that the existence of a tumor-free steady-state solution was warranted when the number of activated effector cells was sufficiently high. By considering the lag of stimulation of helper cell production as the bifurcation parameter, a critical lag is obtained that determines the threshold of the stability change of the tumor-free steady state. It is also leading the system undergoes a Hopf bifurcation to periodic solutions at the tumor-free steady-state solution.Keywords: tumor–immune system; delay differential equation; transcendental function; Hopf bifurcation. AbstrakDalam makalah ini, dikaji model matematika dari sistem respon imun yang terdiri dari sejumlah sel imun yang bekerja sama untuk melindungi tubuh manusia dari invasi sel tumor. Persamaan diferensial tunda digunakan untuk memodelkan sistem kekebalan yang disebabkan oleh keterlambatan alami dalam proses aktivasi sel-sel imun. Studi analitik difokuskan untuk menemukan kondisi di mana sistem mengalami perubahan stabilitas di sekitar solusi kesetimbangan bebas tumor. Diperoleh bahwa solusi kesetimbangan bebas tumor dijamin ada ketika jumlah sel efektor yang diaktifkan cukup tinggi. Dengan mempertimbangkan tundaan stimulasi produksi sel helper sebagai parameter bifurkasi, didapatkan lag kritis yang menentukan ambang batas perubahan stabilitas dari solusi kesetimbangan bebas tumor. Parameter tersebut juga mengakibatkan sistem mengalami percabangan Hopf untuk solusi periodik pada solusi kesetimbangan bebas tumor.Kata kunci: sistem tumor–imun; persamaan differensial tundaan; fungsi transedental; bifurkasi Hopf.
Integrated and partial process of xylitol and bioethanol production from oil palm empty fruit bunches Efri Mardawati; Budi Mandra Harahap; Emilda Ayu Febrianti; Agus Try Hartono; Natasha Putri Siahaan; Anting Wulandari; Silvia Yudiastuti; Sri Suhartini; Kasbawati Kasbawati
Advances in Food Science, Sustainable Agriculture and Agroindustrial Engineering (AFSSAAE) Vol 5, No 1 (2022)
Publisher : Advances in Food Science, Sustainable Agriculture and Agroindustrial Engineering (AFSSAAE)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.afssaae.2022.005.01.5

Abstract

Oil palm empty fruit bunches (OPEFBs) are highly abundant in Indonesia and have been highlighted as a potential feedstock for bioethanol and xylitol production. However, the efficacy of the fermentation technology to convert OPEFBs to bioethanol and xylitol, either in partial (i.e. mono-production) or integrated (i.e. co-production) process, still needs further improvement. This study aimed to evaluate the partial and integrated process for xylitol and bioethanol production from OPEFBs.  In the integrated process, the remaining solid residues after xylitol extraction are used as feedstock for bioethanol due to their high cellulose compounds. This solid residue is more susceptible to be degraded by cellulase enzymes into glucose and further transformed into bioethanol. In the partial process of xylitol production, xylanase enzyme was used to hydrolyze xylan into xylose, which was then converted into xylitol using Debaryomyces hansenii. While in the partial process of bioethanol production, the hydrolysis of cellulose in the OPEFB into glucose was carried out using cellulase enzymes, followed by fermentation using Saccharomyces cerevisiae. The results show that the partial process produced xylitol yield (Yp/s) of 0.10 g-xylitol/g-xylose, while bioethanol at yield (Yp/s) of 0.32 g-bioethanol/g-glucose, respectively. The integrated process generates xylitol yield (Yp/s)of 0.298 g-xylitol/g-xylose, with bioethanol yield from the remaining solid at 0.051 g-bioethanol/g-OPEFB (or 0.078 g-bioethanol/g-glucose). These findings, therefore, confirmed that the integrated process of xylitol with bioethanol production might offer higher efficacy of OPEFB utilization into high value-added products.
Peningkatan Kreatifitas dan Efektifitas Pembelajaran Daring Matematika Bagi Guru SMP di Kecamatan Pattalassang melalui ISpring dan GeoGebra Naimah Aris; Nur Erawaty; Irma Andriani; Jusmawati Massalesse; Kasbawati Kasbawati; Sri Astuti Thamrin; Okta Nofri; Muhammad Zakir; Sitti Sahriman
JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat) Vol 5 No 3 (2021): Jati Emas (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat)
Publisher : Dewan Pimpinan Daerah (DPD) Perkumpulan Dosen Indonesia Semesta (DIS) Jawa Timur

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36339/je.v5i3.511

Abstract

Daring mathematics study leaves pupils with troubles and anxiety after more than a year of daring learning. Furthermore, students often struggle to understand instructional materials that need graphic interpretation when learning mathematics. This activity aims to improve the competence of mathematics teachers with skills using the iSpring and GeoGebra so that they can create creative and effective learning media so that their virtual mathematics learning becomes more interesting and understandable for students. This activity is conducted daring via Zoom and live on YouTube, as well as offline meetings that are carried out with due observance of health protocols. Lectures, demonstrations on the use of iSpring and GeoGebra, as well as monitoring and evaluation are methods used in daring and offline activities. The target audience for this community service is Middle School Mathematics teachers in Pattalassang District. The results of the training showed an increase in the understanding and skills of mathematics teachers in utilizing iSpring and GeoGebra multimedia. This improvement in IT skills can contribute to increasing creativity and effectiveness in learning mathematics in the classroom.
Optimal Control Mathematical Model of Covid-19 With Social Distancing and Therapy Effect Strategies Dwi Meldya Lestari; Kasbawati Kasbawati
Daya Matematis: Jurnal Inovasi Pendidikan Matematika Vol 10, No 2 (2022): Juli
Publisher : Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26858/jdm.v10i2.35846

Abstract

This article presents the mathematical modeling of covid-19 spread with optimal control that aims to observe the dynamics with social distancing and therapeutic effect. We use two control functions, namely  to minimize the susceptibility to move to the carrier population and  to maximize the severe symptom to move to the recovery population. Numerical solution using the forward-backward sweep method with Runge Kutta 4th order, numerical simulation on the optimal control problem. The simulation results obtained are the best strategy for controlling COVID-19 disease.
Co-Authors A. Muh. Amil Siddik A. Yusnaeni Afifah Afifah Agus Try Hartono Aidawayati, Aidawayati Ainun Mawaddah Abdal Amil Siddik, A. Muh. Amir Kamal Amir Andi Utari Samsir Anggriani, Nita Anisa Anisa Anna Islamiyati Anting Wulandari Antonin Robinet Anwar, Andi M. Aprilyani, Lilis Dwi Sapta B., Hasmawati Bohari, Nurul Aulia Budi Mandra Harahap Chetehouna, Khaled Dadi, Oswaldus 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 Khaeruddin Khaeruddin Khaled Chetehouna Mahie, Andi Galsan Muhammad Rifki Nisardi Muralia Hustim Musdalifa Pagga Mutmainnah Syamsul Naimah Aris Naimah Aris Najhah Aris Natasha Putri Siahaan Nur Erawaty Nur Erawaty Nur Suci Ramadhani Nurdin Nurdin Okta Nofri Oswaldus Dadi Pratama, Rian Ade Putra, Restu Ananda Rabiatul Adawiyah Ramadhan, Muh. Nur Bahri Rangkuti, Aidawayati Rian Ade Pratama Robinet, Antonin Sahriman, Sitti Siduppa, Muh. Nursyam Silvia Yudiastuti Sirajang, Nasrah Sitti Sahriman Sri Astuti Thamrin Sri Suhartini, PhD Sulma Sulma Suriani Suriani Syamsir Muaraf Syamsuddin Toaha syamsuddin Toaha Syamsuddin Toaha Syamsuddin, Toaha Syamsul Agus Thoha, Syamsuddin Toaha Syamsuddin Toaha Toaha Wahda, Wahda Wahid, Amira Yusnaeni, A. Yusrianto Yusrianto