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All Journal E-Jurnal Matematika CAUCHY: Jurnal Matematika Murni dan Aplikasi Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri BAREKENG: Jurnal Ilmu Matematika dan Terapan Communication in Biomathematical Sciences Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Jambura Journal of Biomathematics (JJBM) Jurnal Diferensial International Journal of Quantitative Research and Modeling Jurnal Matematika Integratif In Search (Informatic, Science, Entrepreneur, Applied Art, Research, Humanism)
Nursanti Anggriani
Departemen Matematika, Fakultas Matematika Dan Ilmu Pengetahuan Alam, Universitas Padjadjaran
Arts Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Industrial & Manufacturing Engineering Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation Other

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Kontrol Optimal Intervensi dalam Model Matematika SEIRS Penyebaran Penyakit Pneumonia pada Balita Firdaus, Hamidah 'Alina; Aisyah, Ranti Rivani; Anggriani, Nursanti; Sylviani, Sisilia
Jurnal Matematika Integratif Vol 20, No 1: April 2024
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v20.n1.54561.89-99

Abstract

Penyakit pneumonia menjadi salah satu penyebab utama kasus kematian pada anak, khususnya anak usia rentang 1-5 tahun (balita). Sehingga, dibutuhkan suatu model matematika yang dapat digunakan untuk mengetahui dinamika penyebaran penyakit pneumonia pada balita. Selain itu, diperlukan sebuah kontrol optimal vaksinasi dan pengobatan sebagai upaya dalam menekan penyebaran penyakit pneumonia, tujuannya adalah meminimumkan jumlah individu terinfeksi penyakit pneumonia sekaligus meminimumkan biaya vaksinasi dan pengobatan. Prinsip Maksimum Pontryagin digunakan dalam menentukan kontrol optimal dari masing-masing kontrol. Hasil menunjukkan bahwa jumlah individu yang terinfeksi menurun secara signifikan, dengan demikian penyebaran penyakit pneumonia dapat ditekan secara optimal.
Optimal Control of Vaccination and Treatment of Varicella Disease (Chicken Pox) Aisyah, Ranti Rivani; Firdaus, Hamidah 'Alina; Napitupulu, Herlina; Anggriani, Nursanti
Jurnal Matematika Integratif Vol 20, No 2: Oktober 2024
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v20.n2.56410.197-208

Abstract

Varicella, or chickenpox, is an infectious disease that can affect anyone, especially children under the age of 10. Vaccination and medication are key measures in reducing the number of infections and the risk of Varicella infection. A mathematical SEITR model has been developed to describe this disease mathematically. Stability of the equilibrium points and the basic reproduction number of the developed model were then determined. Control was also applied to vaccination and medication with the aim of minimizing the infected population and the costs of vaccination and treatment. These control measures were incorporated into the SEITR model. Finally, Pontryagin’s Maximum Principle was used in the optimization process. This optimal control process significantly reduced the number of infected individuals, thereby effectively controlling the spread of Varicella.
A Sinusoidal-Based Mathematical Model for Psychotherapy Effects in Bipolar Disorder Type 2 Patients Nursuprianah, Indah; Anggriani, Nursanti; Nuraini, Nuning; Rosandi, Yudi
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i2.33537

Abstract

Bipolar Disorder (BD) is a mental disorder characterized by recurrent manic and depressive episodes. This study aims to build a mathematical model that models mood changes in BD type 2 before and after psychotherapy. Daily mood data were collected for more than 3 months from one BD patient, then divided into seven terms of 14 days each. The analysis was carried out through a sinusoidal function fitting process and numerical simulation based on the Van der Pol differential equation. The results showed that before psychotherapy, the mood amplitude reached 1.99632, the frequency was 0.4926, and the moment of inertia was 4.121081. After undergoing routine psychotherapy 9 times, the amplitude decreased to 0.635, the frequency increased to 1.052, and the moment of inertia decreased to 0.903584. The average mood was controlled at 6.492, within the normal mood range. The decrease in amplitude and moment of inertia indicated that BD mood became more stable and less easily affected by the environment, while the increase in frequency indicated a faster recovery of emotional rhythm. Conclusion: Routine psychotherapy is effective in quantitatively stabilizing the mood of BD type 2.
STABILITY ANALYSIS OF TUNGRO DISEASE SPREAD MODEL IN RICE PLANT USING MATRIX METHOD Maryati, Ati; Anggriani, Nursanti; Carnia, Ema
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (840.713 KB) | DOI: 10.30598/barekengvol16iss1pp215-226

Abstract

Rice is one of the staple foods produced from the rice plant. Rice productivity is increased by carrying out efforts to control diseases that usually attack rice plants. Tungro is one of the most destructive diseases of rice plants. Mathematical models can help solve problems in the spread of plant diseases. In this paper, the development of a mathematical model for the spread of tungro disease in rice plants with 6 compartments is developed involving rice in the vegetative and generative phases. Furthermore, stability analysis is carried out on the obtained model by using the Basic Reproduction Number ( ) search through the matrix method, especially through the search for transition matrices and transmission matrices. The analytical results show that when 1 the non-endemic equilibrium point is stable and when >1 the endemic equilibrium point is stable. Numerical results showed that rice plants in the generative phase were more infected than rice plants in the vegetative phase.
Optimal Control of Tungro Disease Spread by Considering Growth Phase and Roguing Control Amelia, Rika; Anggriani, Nursanti; Rosiman, Rosiman; Syarifudin, Abdul Gazir; Chairunnisa, Nadine Zahra; Manuela, Angellyca Leoni
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i2.36776

Abstract

Tungro disease poses a serious threat to rice cultivation, as it is caused by a viral infection transmitted by green leafhoppers. This study develops a mathematical model to describe the spread of tungro disease by incorporating plant growth phases and control measures such as roguing. The model divides the system into two subpopulations: plants (susceptible and infected in both vegetative and generative phases) and vectors (susceptible and infected). Dynamic analysis identifies two equilibrium conditions, namely a disease-free state and an endemic state. The disease-free equilibrium is stable when the basic reproduction number is less than one, whereas the endemic equilibrium becomes stable when the reproduction number exceeds one. Sensitivity analysis using the Partial Rank Correlation Coefficient method shows that the infectivity rate and the roguing rate are the most influential parameters affecting disease transmission. An optimal control framework based on Pontryagin’s Maximum Principle is then applied to determine the most effective roguing and vector control strategies. Simulation results indicate that applying roguing during the vegetative phase markedly reduces the number of infected plants and suppresses disease spread. These findings demonstrate that combining dynamic modeling, sensitivity analysis, and optimal control provides an effective and efficient strategy for managing tungro disease in rice crops.
GEOGRAPHICALLY WEIGHTED PANEL REGRESSION (GWPR) MODEL FOR POVERTY DATA IN WEST JAVA PROVINCE 2019-2021 Nasri, Ramadhoni; Gusriani, Nurul; Anggriani, Nursanti
JURNAL DIFERENSIAL Vol 5 No 2 (2023): November 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i2.12213

Abstract

The problem of poverty in West Java shows a pattern that tends to be concentrated in adjacent areas, indicating spatial heterogeneity in the problem. On the other hand, poverty in West Java also shows an increasing trend from year to year so that dynamic changes occur in various regions. From this situation, it is necessary to know the factors that affect poverty spatially using panel data. One way is to model the poverty problem with the Geographically Weighted Panel Regression (GWPR) model. The GWPR model is the development of a regression model that combines Geographically Weighted Regression (GWR) with panel data regression assuming a Fixed Effect Model (FEM). The data used in this study are secondary data in the 2019-2021 range from the Central Bureau of Statistics and Open Data Jabar which consists of the dependent variable (Y), namely the percentage of poor people and the independent variable (X), namely the factors that influence the percentage of poverty. The purpose of this study is to produce a GWPR model using the Weighted Least Square (WLS) method with the Tricube adaptive kernel weighting function. By conducting overall and partial testing through the F test and t test, the results show that the model for each location and the factors that influence the percentage of poor people in West Java are different for each location due to spatial variations in the relationship between the independent variable and the dependent variable.
Study of Mathematical Modeling for Plant Disease Transmission: A Systematic Literature Review during 2012-2022 Tresna, Sanubari Tansah; Anggriani, Nursanti; Supriatna, Asep Kuswandi
Jambura Journal of Biomathematics (JJBM) Volume 4, Issue 1: June 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v4i1.18443

Abstract

Many models representing disease transmission have been constructed and analyzed mathematically. However, literature studies on the mathematical models for vector-borne disease are sparse, especially on the plant disease transmission model. This study aims to obtain information about the research conducted and find room for developing the model, including mathematical analysis, intervention used, and biological factors considered. We employ a Systematic Literature Review (SLR) to explore all of the studies on plant disease transmission modeling collected from four digital databases. First, the JabRef reference manager helps conduct the inclusion and exclusion processing. Then, we obtain 60 selected articles that passed the criterion. Next, the VOSviewer application is resulting a bibliometric analysis of the database containing chosen articles. Finally, we classify the model constructed based on the system used and elaborate on the intervention used. The results show that the existing researcher clusters are not linked to each other, and the models only consider usual interventions such as roguing and insecticide spraying. Hence, there is much room to build collaboration between the researcher and develop models for plant disease transmission by considering the other various intervention and biological factors in the model to improve further.
Co-Authors Abdul Gazir Syarifudin Aisyah, Ranti Rivani Amelia, Rika Anita Triska Asep K Supriatna Asep K Supriatna, Asep K Asep K. Supriatna Asep K. Supriatna Asep K. Supriatna Asep Kuswandi Supriatna Asep Supriatna Athaya Alyanisa Betty Subartini Chairunnisa, Nadine Zahra Ema Carnia Eman Lesmana Endang Rusyaman Firdaus, Hamidah 'Alina Hennie Husniah Herlina Napitupulu Indah Nursuprianah Julita Nahar Laura Laura Manuela, Angellyca Leoni Maryati, Ati Mia Siti Khumaeroh Mochamad Yudha Muhammad Audri Indraputra Nasri, Ramadhoni Ndii, Meksianis Z Nenden Siti Nurkholipah Nuning Nuraini Nurul Gusriani, Nurul R Wulantini R Wulantini, R Raihanah Raihanah Rizky Ashgi Rizky Ashgi Rosiman, Rosiman Sisilia Sylviani Sri Purwani Tresna, Sanubari Tansah Wildan Rachman Gumelar Yudi Rosandi