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All Journal Jurnal Penelitian Fisika dan Aplikasinya (JPFA) Jurnal Riset Pendidikan Matematika Jurnal Pendidikan Matematika Communication in Biomathematical Sciences Jurnal Abdi: Media Pengabdian Kepada Masyarakat MATHunesa: Jurnal Ilmiah Matematika Abdimas Altruis: Jurnal Pengabdian Kepada Masyarakat Edukasia: Jurnal Pendidikan dan Pembelajaran Jurnal PADI (Pengabdian mAsyarakat Dosen Indonesia)
Abadi Abadi
Department Of Mathematics, Universitas Negeri Surabaya
Humanities Astronomy Decision Sciences, Operations Research & Management Earth & Planetary Sciences Education Environmental Science Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Physics Social Sciences Other

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ANALISIS KESTABILAN MODEL SVIQR PADA PENYEBARAN PENYAKIT DIFTERI DENGAN PENGARUH VAKSINASI DAN KARANTINA Inas Dafa Nurhana; Abadi Abadi
MATHunesa: Jurnal Ilmiah Matematika Vol. 11 No. 02 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n2.p265-273

Abstract

Diphtheria is an acute disease caused by bacteria (Corynebacterium Diphtheriae). This disease is transmitted through the air and droplets (very small drops of fluid) from infected individuals. Vaccination can be carried out as a preventive measure so as not to be infected with bacteria (Corynebacterium Diphtheriae) and quarantine is carried out as a healing process because this disease is one type of disease included in the hospital-based STP (Integrated Disease Surveillance) data source. This study aims to compile and analyze a model of the spread of diphtheria using the SVIQR model. This model contains five subpopulations, namely susceptible (S), infected (I), cured (R), quarantined (Q) and vaccinated (V). Then determine the numerical simulation by estimating the parameters. From the results of numerical simulations of the mathematical model of diphtheria transmission under the influence of vaccination and quarantine, it shows that by selecting the vaccination fade rate parameter, =0.3795491181<1, which means that the disease-free equilibrium point is stable. The asymptotically stable endemic equilibrium point obtained is =1.207495030>1. The smaller the value of the vaccination fading rate parameter ?, the more asymptotically stable the disease-free point means that the spread of disease or endemic disease can be prevented if the vaccine given does not fade easily. Keywords: Stability Analysis, Mathematical Models, Diphtheria, Quarantine, Vaccination.
Lapisan Pemahaman Dan Folding Back Siswa Dalam Menyelesaikan Masalah Matematika Ditinjau Dari Adversity Quotient Aviv Puji Indah Sari; Abadi Abadi; Atik Wintarti
EDUKASIA: Jurnal Pendidikan dan Pembelajaran Vol. 4 No. 2 (2023): Edukasia: Jurnal Pendidikan dan Pembelajaran
Publisher : LP. Ma'arif Janggan Magetan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62775/edukasia.v4i2.590

Abstract

This study aimed to provide a comprehensive detail of comprehension development within the Pirie-Kieren layers of understanding and the process of students folding students in resolving issues related to a two-variable linear equation system, focusing on the concept of adversity quotient. The research employed a qualitative descriptive approach. The data was collected on 36 students from class VIII-B at State Senior High School 2 of Taman. Within this sample, 6 students were selected, comprising of 2 students classified as having a high adversity quotient (referred to as “climber”), 2 students with a moderate adversity quotient (referred to as “camper”), and 2 students with a low adversity quotient (referred to as “quitter”). The study used problem-solving tests and interviews as data-gathering techniques, followed by data analysis techniques outlined by Miles, Huberman, and Saldana. The findings of this study indicated that the climber students demonstrated proficiency across all eight layers of understanding, as proposed by Pirie and Kieren. Climber students exhibited the process of folding back, which involved retrieving previously learned information to effectively address the current challenge without deviating from the relevant subject matter. On the other hand, camper students could attain a level of comprehension that extends to the structuring layer, albeit with a limitation in terms of the maximum attainable layer. However, it is essential to note that not all indicators of layer understanding may be attained flawlessly by camper students. Camper students underwent a process of folding back, delving into deeper layers, and gathering additional information to ensure the accuracy of their work. Quitter students could attain the image-making layer because they use inappropriate methods. However, suppose they employ a trial and error; the resultant value must satisfy two equations. Camper students experienced folding back, delving into more profound layers, and gathering deeper layers to ensure their work's accuracy.
STABILITY ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF DENGUE HEMORRHAGIC FEVER WITH THE INFLUENCE OF TREATMENT AND FOGGING Kharisma Galuh Puspita; Abadi Abadi
MATHunesa: Jurnal Ilmiah Matematika Vol. 11 No. 03 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n3.p318-327

Abstract

Dengue hemorrhagic fever is an infectious disease caused by the dengue virus and transmitted by mosquito bites that has spread rapidly to all regions of the world in recent years. One of the efforts to eradicate mosquitoes that cause dengue fever is by fogging or fumigation. In addition, a treatment is also needed for dengue sufferers because there is no special drug or reliable vaccine and treatment can only be done symptomatically. In this study, a mathematical model of dengue spread will be constructed with the influence of treatment and fogging by dividing into two populations, namely humans and mosquitoes in the human population consisting of four groups, namely susceptible humans ( Sh) / Susceptible, infected humans ( Ih) / Infected, treated humans (Th ) / Treated, cured humans (Rh ) / Recovered. The mosquito population consists of two groups, namely susceptible mosquitoes (Sh ) / Susceptible and infected mosquitoes (Ih )/ Infected. The model in this study determined disease-free and endemic equilibrium points. Next, find the basic reproduction number or and analyze the stability of the disease-free equilibrium point obtained if R0< 1 then the disease-free equilibrium point is asymptotic stable if all eigenvalues are negative, then the endemic equilibrium point is asymptotic stable and the last step is numerical simulation with Matlab 2017b software with parameters according to relevant references or research. Keywords: DHF, Epidemic Model, Treatment, Fogging, Equilibrium point, Stability Analysis, Basic Reproduction Number
Dynamics of Prey-Predator Interaction with Type II Holling Response Function, Additional Food, and Anti-Predator Behavior Nafa Lingga Aufaniyah; Abadi Abadi
MATHunesa: Jurnal Ilmiah Matematika Vol. 11 No. 03 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n3.p422-433

Abstract

This study discusses the interaction model of prey-predator in the presence of additional food and the ability of anti-predator behavior on prey using the type II Holling response function. This research is carried out starting from the study of the literature, contructing models, determining equilibrium points, analyzing equilibrium points, numerical simulation, and drawing conclusion. From the results of the model analysis, four equilibrium points were obtained, namely the extinction of the two unstable populations, the extinction of predators, and two points with the existence of both stable populations with conditions. Based on the results of the analysis carried out, there is a change in the system solution from the limit point which is the boundary point and , then it is continued to the right to produce two point solutions, namely, point is stable to the Hopf bifurcation point when A = 0.239884 and is unstable until A = 0.147059. after the hopf bifurcation there is a change in stability to become unstable which coincides with a stable limit cycle. The simulation results show that additional food affects the stability of prey and predators even though there is anti-predator behavior on prey.
MODEL PENYEBARAN TUBERCULOSIS DENGAN PENGURANGAN WAKTU KONTAK DAN VAKSINASI INTAN DWI MARITA PUTRI; ABADI ABADI
MATHunesa: Jurnal Ilmiah Matematika Vol. 12 No. 02 (2024)
Publisher : Universitas Negeri Surabaya

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Abstract

Tuberkulosis (TB) merupakan penyakit menular yang disebabkan oleh bakteri Mycobacterium Tuberkulosis yang berpindah dari individu terinfeksi TB ke individu rentan terinfeksi akibat adanya kontak yang terjadi. Penularan ini dapat dikendalikan dengan pengurangan waktu kontak individu terinfeksi TB dengan model insiden baru dan melakukan vaksinasi pada individu rentan. Pengendalian ini dianalisis dengan mengkonstruksi model matematika penyebaran penyakit TB dengan adanya pengurangan proporsi waktu kontak individu terinfeksi dan adanya vaksin. Model ini dibagi menjadi empat sub populasi, yakni rentan(S), vaksinasi(V), terinfeksi(I), dan sembuh(R). Dari model yang dikonstruksi didapatkan dua titik ekuilibrium, yaitu titik ekuilibrium bebas penyakit yang bersifat stabil asimtotik ketika nilai bilangan reproduksi dasar dan titik ekuilibrium endemik stabil asimtotik ketika memenuhi kriteria Routh-Hurwitz. Selain itu, dilakukan simulasi numerik dengan software Matlab R2019a. Simulasi numerik menunjukkan bahwa penyebaran penyakit TB dapat dikendalikan dengan meningkatkan pengurangan proporsi waktu kontak individu terinfeksi dan meningkatkan laju vaksinasi terhadap individu rentan.
MODEL INFEKSI HIV DENGAN PENGARUH RESPON SEL CD8+ DAN ANTIRETROVIRAL TREATMENT Ivon Tressyta Nanda Aisyah; Abadi Abadi
MATHunesa: Jurnal Ilmiah Matematika Vol. 12 No. 02 (2024)
Publisher : Universitas Negeri Surabaya

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Abstract

Human Immunodeficiency Virus (HIV) merupakan virus yang menginfeksi sel-sel dalam tubuh manusia, sehingga infeksi HIV menyebabkan penurunan sistem kekebalan tubuh secara bertahap. Dalam mengendalikan infeksi HIV tiap individu memiliki sel imun dalam tubuh, yang akan aktif ketika terdapat organisme asing yang menyerang. Selain itu setiap individu yang terinfeksi perlu sesegera mungkin mendapatkan pengobatan, salah satu pengobatan yang sering digunakan adalah antiretroviral treatment. Penelitian ini bertujuan untuk mengetahui dan mendeskripsikan model matematika dari penyebaran infeksi HIV dengan respon sel imun CD8+ dan antiretroviral treatment. Pada model infeksi HIV ini terdapat 5 populasi yaitu, populasi sel T CD4+ (T), populasi sel T CD4+ yang telah terinfeksi (I), populasi virus HIV (V), populasi sel T CD8+ yang belum teraktivasi (Z), populasi sel T CD8+ yang telah teraktivasi . Dalam penelitian ini akan ditentukan titik kesetimbangannya yang terdiri dari 3 jenis , yaitu titik kesetimbangan bebas penyakit (DFE), titik kesetimbangan endemik tanpa respon sel imun CD8+ (E1) dan titik kesetimbangan endemik dengan respon sel imun CD8+ (E2). Titik kesetimbangan bebas penyakit (DFE) akan stabil asimtotik ketika R0 <1 dan titik kesetimbangan endemik (EE) akan stabil asimtotik ketika R0 >1 dan memenuhi syarat kriteria Routh Hurwitz yaitu a1 >1, a1a2-a3 >1, a3>0. Selanjutnya akan dilakukan simulasi numerik menggunakan aplikasi Replit online dengan bahasa pemrograman python berdasarkan parameter dan nilai awal yang ada pada artikel rujukan, sehingga didapatkan penggabungan antiretroviral treatment dan respon sel imun CD8+ secara bersamaan dalam pengendalian infeksi HIV ini lebih baik daripada hanya menggunakan antiretoviral treatment dalam pengendaliannya.
Co-Authors Abd. Kadir Jaelani Agus Fani Candra Wijaya Anggun Sulistiyowati Atik Wintarti Aviv Puji Indah Sari Budi Priyo Prawoto Budi Priyo Prawoto Dhany Fachrudin, Achmad Dian Savitri Dwi Juniati Endah B. R. Hariyono, Eko Hiroki Fujii I Ketut Budayasa Inas Dafa Nurhana Intan Bigita Kusumawati, Intan Bigita INTAN DWI MARITA PUTRI Ivon Tressyta Nanda Aisyah Kharisma Galuh Puspita Kusrini Kusrini Liliasari , Masriyah Masriyah Moch. Faisal Alam Muhammad Fakhruddin Nadhilah Putri Wahana Nafa Lingga Aufaniyah Pradnyo Wijayanti Raditya Bagus Gilang Pradana Rudianto Artiono Rudianto Artiono Siti Maghfirotun Amin Soffil Widadah Sugi Hartono Tatag Yuli Eko Siswono