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All Journal Kubik Communication in Biomathematical Sciences KUBIK: Jurnal Publikasi Ilmiah Matematika Engineering, Mathematics and Computer Science Journal (EMACS) Indonesian Journal of Applied Mathematics and Statistics
Dani Suandi
Faculty Of Mathematics And Natural Sciences, Institut Teknologi Bandung
Civil Engineering, Building, Construction & Architecture Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Engineering Industrial & Manufacturing Engineering Mathematics Public Health Social Sciences

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Mathematical Modeling and Sensitivity Analysis of the Existence of Male Calico Cats Population Based on Cross Breeding of All Coat Colour Types Suandi, Dani; Ningrum, Ira Prapti; Alifah, Amalia Nur; Izzah, Nurul; Reza, Mazi Prima; Muwahidah, Imroatul Khoiriyah
Communication in Biomathematical Sciences Vol 2, No 2 (2019)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (510.829 KB) | DOI: 10.5614/cbms.2019.2.2.3

Abstract

The coat color of cats is normally governed by genes found on the X chromosome in both male chromosome XY and female chromosome XX. The meiosis failure in the process of gametogenesis leads to the birth of three-colored male cats caused by an excess of the X chromosome in the male chromosome type XY. The chromosome structure of three-color male cats, called male calico cats, appeared similar to the XXY Klinefelter?s syndrome in human. Mathematical modeling and investigation of the factors that influence the infrequency of male calico cats are our main objectives of this paper. In addition, we also discuss the possible contributions and strategies to overcome the scarcity of these cats. We construct a mathematical model based on a combination of genes in the chromosome that regulates the color of cat coat on the fertilization process. The mathematical model is given as a six-dimensional system of differential equations. Sensitivity analysis is used to investigate the important parameters in the existence of male calico cats. Our finding states that the probability of normal male cats meiosis is a crucial parameter in the maintenance of the existence of male calico cats. Furthermore, one of the strategies that we could recommend in maintaining the existence of male calico cats is minimizing the value of the successful meiosis probability of normal male cats.
Analisis Kestabilan Global dengan Menggunakan Fungsi Lyapunov pada Model Dinamik Epidemik SIR Lisna Nurjanah; Fadilah Ilahi; Dani Suandi
KUBIK Vol 3, No 1 (2018): KUBIK : Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v3i1.2733

Abstract

Artikel ini menganalisis kestabilan global dengan menggunakan fungsi Lyapunov pada model dinamik epidemik SIR. Populasi manusia diasumsikan menjadi tiga bagian yaitu individu rentan (susceptible), terinfeksi (infected) dan kebal (recovered). Titik tetap terdiri dari titik tetap bebas penyakit dan endemik. Kestabilan yang dikaji berupa kestabilan global dari titik tetap bebas penyakit dan endemik menggunakan fungsi Lyapunov. Berdasarkan hasil analisis, pada titik tetap bebas penyakit dapat disimpulkan bahwa titik tersebut bersifat stabil asimtot global jika . Sedangkan pada titik tetap endemik dapat disimpulkan bersifat stabil global karena  definit positif dan turunan fungsi tersebut  semi definit negatif.
Analisis Dinamik Pada Model Penyebaran Penyakit Campak dengan Pengaruh Vaksin Permanen Dani Suandi
KUBIK Vol 2, No 2 (2017): KUBIK : Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v2i2.1854

Abstract

Penyakit campak merupakan penyakit menular yang disebabkan oleh virus golongan Paramixovirus. Kasus campak di Indonesia sering terjadi meskipun telah berhasil direduksi dari angka kejadian 180.000 kasus pada tahun 1990 menjadi sekitar 20.000 kasus pada tahun 2010. Pemberian vaksin campak kepada balita dan anak usia sekolah dasar merupakan salah satu program pemerintah dalam mencegah dan menanggulangi kenaikan angka kejadian penyakit campak. Pada paper ini dikembangkan model matematika untuk penyebaran penyakit campak. Model merupakan sistem dinamik non linear empat dimensi yang menggambarkan pengaruh vaksin permanen terhadap penyebaran penyakit campak. Metode Routh Hurwith digunakan untuk menganalisis kestabilan dari titik ekulibrium endemik. Kita menggunakan basic roproduction number untuk menganlisis keendemikan penyakit yang diperoleh dengan metode next generation matrix. Hasil Analisis dan Simulasi numerik memberikan informasi bahwa laju vaksinasi permanen berpengaruh sangat significant terhadap penurunan populasi manusia yang terinveksi penyakit campak.
Analisis Kestabilan Ekuilibrium dan Eksistensi Solusi Periodik Pada Model Mangsa Pemangsa Dengan Penyebaran Penyakit Dani Suandi; Fadilah ilahi; Erna Putri Utami
KUBIK Vol 4, No 2 (2019): KUBIK : Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v4i2.6430

Abstract

Model matematika mangsa pemangsa (predator-prey) dimodifikasi pada artikel ini. Modifikasi dilakukan dengan melibatkan penyebaran penyakit dan tingkat kekebalan pada kompartemen pemangsa. Analisis kestabilan lokal dilakukan dengan melihat nilai eigen dari matriks Jacobi. Sementara itu, Kriteria Dulac-Bendicson digunakan sebagai metode dalam menganalisis eksistensi solusi periodik. Berdasarkan hasil analisis, solusi periodik dapat terjadi pada model tersebut. Simulasi numerik disajikan sebagai konfirmasi dari hasil analisis.
Mathematical Modeling and Sensitivity Analysis of the Existence of Male Calico Cats Population Based on Cross Breeding of All Coat Colour Types Dani Suandi; Ira Prapti Ningrum; Amalia Nur Alifah; Nurul Izzah; Mazi Prima Reza; Imroatul Khoiriyah Muwahidah
Communication in Biomathematical Sciences Vol. 2 No. 2 (2019)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2019.2.2.3

Abstract

The coat color of cats is normally governed by genes found on the X chromosome in both male chromosome XY and female chromosome XX. The meiosis failure in the process of gametogenesis leads to the birth of three-colored male cats caused by an excess of the X chromosome in the male chromosome type XY. The chromosome structure of three-color male cats, called male calico cats, appeared similar to the XXY Klinefelter's syndrome in human. Mathematical modeling and investigation of the factors that influence the infrequency of male calico cats are our main objectives of this paper. In addition, we also discuss the possible contributions and strategies to overcome the scarcity of these cats. We construct a mathematical model based on a combination of genes in the chromosome that regulates the color of cat coat on the fertilization process. The mathematical model is given as a six-dimensional system of differential equations. Sensitivity analysis is used to investigate the important parameters in the existence of male calico cats. Our finding states that the probability of normal male cats meiosis is a crucial parameter in the maintenance of the existence of male calico cats. Furthermore, one of the strategies that we could recommend in maintaining the existence of male calico cats is minimizing the value of the successful meiosis probability of normal male cats.
Analisis Dinamik Pada Model Penyebaran Penyakit Campak dengan Pengaruh Vaksin Permanen Dani Suandi
KUBIK Vol 2, No 2 (2017): KUBIK : Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v2i2.1854

Abstract

Penyakit campak merupakan penyakit menular yang disebabkan oleh virus golongan Paramixovirus. Kasus campak di Indonesia sering terjadi meskipun telah berhasil direduksi dari angka kejadian 180.000 kasus pada tahun 1990 menjadi sekitar 20.000 kasus pada tahun 2010. Pemberian vaksin campak kepada balita dan anak usia sekolah dasar merupakan salah satu program pemerintah dalam mencegah dan menanggulangi kenaikan angka kejadian penyakit campak. Pada paper ini dikembangkan model matematika untuk penyebaran penyakit campak. Model merupakan sistem dinamik non linear empat dimensi yang menggambarkan pengaruh vaksin permanen terhadap penyebaran penyakit campak. Metode Routh Hurwith digunakan untuk menganalisis kestabilan dari titik ekulibrium endemik. Kita menggunakan basic roproduction number untuk menganlisis keendemikan penyakit yang diperoleh dengan metode next generation matrix. Hasil Analisis dan Simulasi numerik memberikan informasi bahwa laju vaksinasi permanen berpengaruh sangat significant terhadap penurunan populasi manusia yang terinveksi penyakit campak.
Qualitative Behavioral Analysis in Mosquito Dynamics Model with Wolbachia Suandi, Dani; Ilahi, Fadilah; Ramdhani, Randi; Nugraha, Edwin Setiawan
Communication in Biomathematical Sciences Vol. 6 No. 1 (2023)
Publisher : The Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2023.6.1.1

Abstract

The Aedes Aegypti mosquito is the primary vector that can transmit diseases to humans such as zika, dengue fever, chikungunya, and yellow fever. This mosquito species is controlled to reduce the frequency of its bites on humans. Several methods have been developed to control mosquito populations, ranging from natural insecticides to artificial ones. However, the impact of these insecticides leads to resistance. Wolbachia bacteria as a promising alternative in reducing the spread of viruses on humans due to free resistance. This work constructs a genetic population model in the form of differential equation system that describes mosquito population dynamics by involving random mating between mosquito populations with and without Wolbachia bacteria. The stability of the equilibrium was analyzed locally here. Numerical simulations and sensitivity analyzes are presented to confirm the analytical results and investigate the effect of the parameters involved on the model. The results show that the success of the expansion of Wolbachia-infected mosquitoes depends on the fitness level of the mosquito species. The more Wolbachia mosquitoes are released into nature, the more possibility this mosquito expansion will be successful.
Analisis Kestabilan Global dengan Menggunakan Fungsi Lyapunov pada Model Dinamik Epidemik SIR Nurjanah, Lisna; Ilahi, Fadilah; Suandi, Dani
KUBIK Vol 3, No 1 (2018): KUBIK : Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v3i1.2733

Abstract

Artikel ini menganalisis kestabilan global dengan menggunakan fungsi Lyapunov pada model dinamik epidemik SIR. Populasi manusia diasumsikan menjadi tiga bagian yaitu individu rentan (susceptible), terinfeksi (infected) dan kebal (recovered). Titik tetap terdiri dari titik tetap bebas penyakit dan endemik. Kestabilan yang dikaji berupa kestabilan global dari titik tetap bebas penyakit dan endemik menggunakan fungsi Lyapunov. Berdasarkan hasil analisis, pada titik tetap bebas penyakit dapat disimpulkan bahwa titik tersebut bersifat stabil asimtot global jika . Sedangkan pada titik tetap endemik dapat disimpulkan bersifat stabil global karena  definit positif dan turunan fungsi tersebut  semi definit negatif.
Analisis Kestabilan Ekuilibrium dan Eksistensi Solusi Periodik Pada Model Mangsa Pemangsa Dengan Penyebaran Penyakit Suandi, Dani; ilahi, Fadilah; Utami, Erna Putri
KUBIK Vol 4, No 2 (2019): KUBIK : Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v4i2.6430

Abstract

Model matematika mangsa pemangsa (predator-prey) dimodifikasi pada artikel ini. Modifikasi dilakukan dengan melibatkan penyebaran penyakit dan tingkat kekebalan pada kompartemen pemangsa. Analisis kestabilan lokal dilakukan dengan melihat nilai eigen dari matriks Jacobi. Sementara itu, Kriteria Dulac-Bendicson digunakan sebagai metode dalam menganalisis eksistensi solusi periodik. Berdasarkan hasil analisis, solusi periodik dapat terjadi pada model tersebut. Simulasi numerik disajikan sebagai konfirmasi dari hasil analisis.
ARIMA Model for Forecasting COVID-19 Positivity Rate in Jakarta Wardhani, Andreanne Intan Sulistyo; Ulya, Aulia Himmatul; Febrianti, Ranny; Suandi, Dani
Indonesian Journal of Applied Mathematics and Statistics Vol. 2 No. 1 (2025): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.71385/idjams.v2i1.20

Abstract

COVID-19, a global pandemic since early 2020, has affected numerous countries worldwide, including Indonesia. The positivity rate serves as a crucial metric for gauging the extent of COVID-19 transmission in a specific region. The surge in COVID-19 cases in Jakarta has notably impacted various industries, particularly the healthcare sector. In this paper, ARIMA model is used to predict the number of daily COVID-19 cases in Jakarta. The optimal model for predicting the positivity rate over the next 10 days, from June 22, 2022, to July 1, 2022, is identified as ARIMA (1,1,3). The forecasting error is quantified by the MAE of 0.5625, MSE of 0.0161, RMSE of 0.1268, and MAPE of 0.68% all of which attest to its high accuracy. From a mathematical perspective, the outcomes of this study offer advantages by elucidating the utilization of the ARIMA technique for forecasting time series data, particularly in scenarios involving disease spread, necessitating meticulous management. Additionally, within the healthcare domain, these findings offer valuable insights into endeavors aimed at controlling infectious diseases, particularly COVID-19, should similar outbreaks occur in the future.
Co-Authors Alifah, Amalia Nur Dani, Yasi Erna Putri Utami Fadilah Ilahi Febrianti, Ranny Ginting, Maria Artanta Ilahi, Fadilah Imroatul Khoiriyah Muwahidah Ira Prapti Ningrum Izzah, Nurul Lisna Nurjanah Mazi Prima Reza Muwahidah, Imroatul Khoiriyah Ningrum, Ira Prapti Nugraha, Edwin Setiawan Nurjanah, Lisna Nurul Izzah Ramdhani, Randi Reza, Mazi Prima Ulya, Aulia Himmatul Utami, Erna Putri Wardhani, Andreanne Intan Sulistyo