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All Journal Jurnal Matematika Journal of Mathematical and Fundamental Sciences Jurnal Penelitian Pendidikan IPA (JPPIPA) JMPM: Jurnal Matematika dan Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Jambura Journal of Mathematics ComTech: Computer, Mathematics and Engineering Applications MES: Journal of Mathematics Education and Science Indonesian Journal of Electrical Engineering and Computer Science Jambura Journal of Biomathematics (JJBM) Milang Journal of Mathematics and Its Applications Aceh International Journal of Science and Technology Journal of Mathematics, Computation and Statistics (JMATHCOS) MILANG Journal of Mathematics and Its Applications
Paian Sianturi
Department Of Mathematics, Bogor Agricultural University, Jl. Meranti, Kampus IPB Dramaga, Bogor 16680, Indonesia
Agriculture, Biological Sciences & Forestry Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Engineering Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Transportation

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Journal : jurnal matematika

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Analisis Dinamika Model Penyakit Toksoplasmosis pada Populasi Kucing dan Manusia Riza Rusdiani; Ali Kusnanto; Paian Sianturi
Jurnal Matematika Vol 11 No 2 (2021)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2021.v11.i02.p138

Abstract

Abstract: Toxoplasmosis is a disease that is identical to cats. This disease is caused by the parasite Toxoplasma gondii. In this study, a mathematical model of the spread of toxoplasmosis was reviewed with various population size. In this study, model construction, fixed point analysis and parameter sensitivity analysis were carried out. From the sensitivity analysis, it is shown that the cat transmission rate from a susceptible cat population to an infected cat population (horizontal transmission rate) and the probability of a susceptible cat born from an infected cat (vertical transmission rate) are found as sensitive parameters on production number ( Decreasing the horizontal transmission rate and an increase value of the vertical transmission rate can reduce the value of A decrease in the value of , results in a disease-free state will be achieved more quickly so that the disease is under control.
Analisis Kestabilan Model Insidensi Setengah Jenuh pada Epidemi Flu Burung Yomi Kharisma Septika; Ali Kusnanto; Paian Sianturi
Jurnal Matematika Vol 11 No 2 (2021)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2021.v11.i02.p139

Abstract

Abstract: The H5N1 avian influenza is an example of a pathogen that is known to cause human disease outbreaks. This study focuses on selecting avian influenza control strategies using Half-Saturated Incidence (HSI) Models. In this study, a model was constructed by involving elements of human self-protection, poultry isolation and poultry vaccination. Furthermore, it is shown that the parameters that influence are the parameters of the population that apply personal protection and its effectiveness, the parameters of the rate of isolation of birds with avian influenza, and the parameters of vaccine coverage and its effectiveness. Increasing the value of this parameter can reduce the basic reproduction number so that disease-free conditions can occur. Hence, controlling the dynamics of disease spread can be done by increasing the value of these parameters.
Co-Authors Abdur Rohman Abdur Rohman Akmal Taufik Ali Kusnanto Annisa, Mutia Ardana, N K Kutha Ardana, N. K. Kutha Ardana, Ngakan Komang Kutha Arindria Sekar Putri Valentinna Asmaidi Asmaidi Budi Suharjo D. Ananda Osferi Dian Grace Ludji Dini Dessya Luthfiani Eliska, Nur Endar Hasafah Nugrahani Endar Nugrahani Fahren Bukhari Fatimatuzzahroh Hadi Sumarno Hadi Sumarno Hardianti, Wiwik Tri Hattamurrahman, Muhammad Putra Sani Ilmi, Salsabilla Fitri Jaharuddin Julianto, MT Luthfiani, Dini Dessya Maharani, Faizah Mutia Annisa N. K. Kutha Ardana N. K. Kutha Ardana Nabila, Nabila NGAKAN KOMANG KUTHA ARDHANA Niswah Yanfa Nabilah Syams Nugrahani, Endar Nur Azizah Nurul Qorima Putri Praptaningsih, Anggun Putri, Nurul Qorima Rauf, Nurul Maqfirah Resmawan Resmawan Riza Rusdiani Taufik, Akmal Toni Bakhtiar Valentinna, Arindria Sekar Putri Yomi Kharisma Septika