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Comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical model Ndii, Meksianis Z.; Anggriani, Nursanti; Supriatna, Asep K.
Communication in Biomathematical Sciences Vol 1, No 2 (2018)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (599.511 KB) | DOI: 10.5614/cbms.2018.1.2.4

Abstract

The Differential Transformation Method (DTM) and the Non Standard Finite Difference Scheme (NSFDS) are alternative numerical techniques used to solve a system of linear and nonlinear differential equations. In this paper, we construct the DTM and NSFDS for a mathematical model of plant disease transmission dynamics and compare their solutions to that generated by MATLAB ode45 routine, which is the well-established numerical routine. The solutions of the DTM and NSFDS are in good agreement with MATLAB ode45 routine in the small time step. However, when the time step is larger, the NSFDS performs better than the DTM.
ANALISIS SENSITIVITAS MODEL EPIDEMI SEIR Hurint, Roberta U; Ndii, Meksianis Z.; Lobo, Maria
Natural Science: Journal of Science and Technology Vol 6, No 1 (2017): Volume 6 Number 1 (March 2017)
Publisher : Univ. Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (463.799 KB)

Abstract

Analisis sensitivitas dari model epidemi Susceptible, Exposed, Infectious dan Recovered (SEIR) dilakukan untuk mengetahui pengaruh perubahan nilai parameter terhadap nilai basic reproduction number dan titik tetap endemik khususnya kelas exposed and infectious. Hasil analisis menunjukkan bahwa laju transmisi penyakit dan laju kesembuhan merupakan parameter yang paling berpengaruh terhadap basic reproduction number. Sementara itu, laju perpindahandari kelas exposed ke infectious merupakan parameter yang sangat berpengaruh pada jumlah individu exposed. Laju kesembuhan merupakan parameter yang berpengaruh terhadap populasi dari kelas infectious. Hasil ini mengimplikasikan bahwa untuk mengurangi epidemi suatu penyakit maka perlu intervensi kesehatan yang dapat mempercepat kesembuhan individu terinfeksi (infectious inviduals).
AN ANALYSIS OF COVID-19 TRANSMISSION IN INDONESIA AND SAUDI ARABIA Ndii, Meksianis Z.; Hadisoemarto, Panji; Agustian, Dwi; Supriatna, Asep K.
Communication in Biomathematical Sciences Vol 3, No 1 (2020)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (324.2 KB) | DOI: 10.5614/cbms.2020.3.1.3

Abstract

An outbreak of novel coronavirus has been happening in more than 200 countries and has shocked society. Several measures have been implemented to slowing down the epidemics while waiting for vaccine and pharmaceutical intervention. Using a deterministic and stochastic model, we assess the effectiveness of current strategies: reducing the transmission rate and speeding up the time to detect infected individuals. The reproductive ratio and the probability of extinction are determined. We found that the combination of both strategies is effective to slow down the epidemics. We also find that speeding up the time to detect infected individuals without reducing the transmission rate is not sufficient to slow down the epidemics.
Optimal Control and Cost-Effectiveness Analysis in An Epidemic Model with Viral Mutation and Vaccine Intervention Adi, Yudi Ari; Irsalinda, Nursyiva; Ndii, Meksianis Z
CAUCHY Vol 7, No 2 (2022): CAUCHY: Jurnal Matematika Murni dan Aplikasi (May 2022) (Issue in Progress)
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i2.13184

Abstract

This paper introduces an optimal control problem in a two-strain SIR epidemic model with viral mutation and vaccine administration. The purpose of this study was to investigate the efficacy and cost-effectiveness of two disease prevention strategies, namely restriction of community mobility to prevent disease transmission and vaccine intervention. We consider the time-dependent control case, and we use Pontryagin’s Maximum Principle to derive necessary conditions for the optimal control of the disease. We also calculate the Average Cost-Effectiveness Ratio (ACER) and the Incremental Cost-Effectiveness Ratio (ICER) to investigate the cost-effectiveness of all possible strategies of the control measures. The results of this study indicate that the most cost-effective disease control strategy is a combination of mobility restriction and vaccination.
ANALISIS KARAKTER DOSEN DALAM MELAKUKAN PENELITIAN DENGAN METODE CHI-SQUARE AUTOMATIC INTERACTION DETECTION (CHAID) Astri Atti; Keristina Br. Ginting; Meksianis Z Ndii
JURNAL DIFERENSIAL Vol 1 No 1 (2019): April 2019
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v1i1.1228

Abstract

Penelitian merupakan bagian dari Tri Dharma perguruan tinggi dan menjadi salah satu tugas seorang dosen serta menjadi alat ukur kinerja seorang dosen dalam menjalankan tanggung jawabnya. Tujuan penelitian ini adalah untuk mengetahui ada tidaknya pengaruh faktor umur, jenis kelamin, jabatan fungsional akademik, masa kerja, jenjang pendidikan, status pernikahan, jumlah tanggungan, dan beban mengajar terhadap produktivitas dosen dalam mengusul proposal penelitian hibah sumber dana Ristekdikti, serta menjelaskan hubungan/asosiasi berstruktur antar faktor yang mempengaruhi pengelompokan pengamatan menurut variabel terikat (produktivitas dosen dalam mengusul proposal penelitian hibah sumber dana Ristekdikti). Metode analisis yang digunakan adalah metode CHAID (Chi-square Automatic Interaction Detection) yaitu metode yang digunakan untuk menganalisis keterkaitan struktural antara peubah dalam segugus data. Hasil CHAID adalah pohon keputusan atau dendogram yang membentuk hubungan berstruktur antar variabel. Hasil dendogram CHAID menunjukkan bahwa variabel yang mempengaruhi pengklasifikasian produktivitas dosen dalam pengusulan proposal adalah jabatan fungsional, status pernikahan, dan tingkat pendidikan. Klasifikasi/pemisahan pertama didasari oleh peubah jabatan fungsional dosen. Pada tahap pertama pemisahan CHAID, peubah yang mempunyai asosiasi paling nyata dalam menentukan produktivitas dosen dalam mengusul proposal adalah jabatan fungsional yang terbagi atas dua node/cabang yaitu kelompok 1 (Lektor, Lektor kepala dan Guru besar) dan kelompok 2 (asisten ahli). Dosen yang mengusul proposal penelitian hibah sumber dana Ristekdikti terdiri atas dua kelompok. Pertama, yaitu dosen yang memiliki jabatan fungsional minimal lektor, sudah menikah, dan berpendidikan minimal S2, sedangkan yang kedua adalah dosen yang memiliki jabatan fungsional asisten ahli juga berpendidikan S3. Untuk dosen yang tidak mengusul proposal juga terdiri atas dua kelompok, yaitu kelompok dosen dengan fungsional minimal lektor yang belum menikah/cerai, dan kelompok dosen asisten ahli yang berpendidikan S2. Asosiasi berstruktur terjadi pada variabel jabatan fungsional, status pernikahan dan tingkat pendidikan.
The Effects of Wet Cupping Therapy in Blood Pressure, Glucose, Uric Acid and Total Cholesterol Levels Sutriyono Sutriyono; Muhammad Rodham Robbina; Meksianis Zadrak Ndii
Biology, Medicine, & Natural Product Chemistry Vol 8, No 2 (2019)
Publisher : Sunan Kalijaga State Islamic University & Society for Indonesian Biodiversity

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/biomedich.2019.82.33-36

Abstract

Wet cupping therapy is a simple, cheap, and effective alternative medical treatment. In China wet cupping therapy become a formal treatment in the hospital. 14 centuries ago Prophet Muhammad implemented wet cupping therapy or hejamah as a curing treatment and become sunnah for muslim. Today in a modern world, many studies proved the advantages of wet cupping therapy, which is a sunnah since 14 centuries ago. The aims of this study were to measure the effects of wet cupping therapy treatment on blood pressure, blood glucose, uric acid, and total cholesterol level. 21 participants were treated with hejamah/wet cupping, blood pressure and blood samples were collected from all the participants one week before and one week after hejamah. Blood pressure, either systolic or diastolic was significantly decreased following therapy (p|<|0.05), blood glucose had a slight decreased but not significant (p|>|0.05). uric acid and total cholesterol level was also significantly decreased following therapy (p|<|0.05). With only just one time treatment, hejamah had a significant effects on blood pressure, uric acid and total cholesterol level, that is proved the advantages of hejamah.
Mathematical Model of Cervical Cancer Treatment Using Chemotherapy Drug Murtono Murtono; Meksianis Zadrak Ndii; Sugiyanto Sugiyanto
Biology, Medicine, & Natural Product Chemistry Vol 8, No 1 (2019)
Publisher : Sunan Kalijaga State Islamic University & Society for Indonesian Biodiversity

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/biomedich.2019.81.11-15

Abstract

Cervical cancer is a malignant disease that causes problems in women's health, especially in developing countries such as Indonesia. Cervical cancer cells will develop quickly, uncontrollably, and will continue to divide and then infiltrate the surrounding tissue and continue to spread to connective tissue, blood, and attack important organs and spinal nerves. The aim of the research is to study the mathematical model of cervical cancer by chemotherapy treatment. The results of this study are that cervical cancer treatment using chemotherapy is effective enough to kill abnormal cells such as infected cells, pre-cancerous cells and cancer cells, although there are side effects, namely the killing of normal cells due to chemotherapy drugs.
Statistical Analysis of Habbatussauda’s Benefits for Health (Blood Pressure, Glucose and Uric Acid) Sugiyanto Sugiyanto; Luqyana Khalda; Meksianis Zadrak Ndii
Biology, Medicine, & Natural Product Chemistry Vol 8, No 1 (2019)
Publisher : Sunan Kalijaga State Islamic University & Society for Indonesian Biodiversity

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/biomedich.2019.81.7-10

Abstract

Habbatussauda is one of the traditional medicine existed since a long time ago and this is one of the drugs that recommended by the Prophet Muhammad. Habbatussauda’s benefits have been studied extensively in the healthcare. Habbatussauda has also been widely used to cure various diseases. This study revealed the benefits of Habbatussauda in lowering blood pressure, glucose and uric acid levels in 20 respondents that given Habbatussauda for 2 weeks. The blood pressure, glucose and uric acid levels were measured before and after consuming Habbatussauda. Blood pressure, glucose, and uric acid levels in the body will decrease after consuming Habbatussauda that shown in the statistical analysis of the obtained data.
Modeling and Prediction of COVID-19 with a Large Scale Social Distancing Yudi Ari Adi; Meksianis Z. Ndii
Jurnal Fourier Vol. 9 No. 1 (2020)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/fourier.2020.91.1-9

Abstract

Coronavirus 2019 (COVID-19), yang kasusnya dimulai di Cina, dalam kurun waktu dua bulan telah menyebar dengan cepat ke lebih dari 114 negara dan territorial. Pemahaman tentang dinamika penularan Covid-19 sangat penting untuk menentukan kebijakan dan strategi dalam pengobatan dan pengendalian penyebaran penyakit ini. Dalam makalah ini, disusun model matematika yang menggambarkan dinamika penularan penyakit menggunakan model matematika deterministik dengan menggunakan data penyebaran COVID-19 di Jakarta, Indonesia dari 3 Maret 2020, hingga 10 April 2020. Model berbentuk Sistem persamaan diferensial yang selanjutnya dilakukan analisis matematika dan simulasi numerik. Hasil simulasi menunjukkan bahwa tanpa intervensi, angka reproduksi penyebaran Covid-19 di Provisi Jakarta sekitar 1,658 dan jika Pembatasan Sosial Berskala Besar (PSBB) diimplementasikan, maka angka reproduksinya turun menjadi 1,40. Lebih lanjut, epidemi diperkirakan akan berakhir sekitar akhir November 2020 dengan kasus puncak pada pertengahan Juni 2020 dengan jumlah orang yang dikonfirmasi positif terinfeksi mencapai sekitar 9.000 jiwa. Dari hasil pemodelan ini, disimpulkan bahwa untuk meminimalkan penularan penyakit, perlu menerapkan kebijakan dan kontrol yang lebih ketat. [Coronavirus disease 2019 (COVID-19) which was initiated in China, has spread rapidly in more than 114 countries and territories over the last two months. An understanding of the dynamics of Covid-19 transmission is very important to determine policies and strategies in the treatment and control of the spread of this disease. In this paper, we formulated a mathematical model that describes the transmission dynamics of the disease using a deterministic mathematical model and the model is validated against data from Jakarta, Indonesia from March 3, 2020, to April 10, 2020. Mathematical analysis and numerical simulations are presented. We found that without intervention, the reproduction number is around 1.658 and the reproduction number declines to 1.40 if large scale social distancing is implemented. Furthermore, the end time of epidemic is predicted to be around the end of November 2020 with peak cases around mid-June 2020 and the number of confirmed infected individuals is around 9,000. To minimize the transmission of the diseases, it is necessary to enforce strict policies and controls.]
Comparison of the differential transformation method and non standard finite difference scheme for solving plant disease mathematical model Meksianis Z. Ndii; Nursanti Anggriani; Asep K. Supriatna
Communication in Biomathematical Sciences Vol. 1 No. 2 (2018)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2018.1.2.4

Abstract

The Differential Transformation Method (DTM) and the Non Standard Finite Difference Scheme (NSFDS) are alternative numerical techniques used to solve a system of linear and nonlinear differential equations. In this paper, we construct the DTM and NSFDS for a mathematical model of plant disease transmission dynamics and compare their solutions to that generated by MATLAB ode45 routine, which is the well-established numerical routine. The solutions of the DTM and NSFDS are in good agreement with MATLAB ode45 routine in the small time step. However, when the time step is larger, the NSFDS performs better than the DTM.