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All Journal Jurnal Matematika Milang Journal of Mathematics and Its Applications
Ali Kusnanto
Institut Pertanian Bogor
Agriculture, Biological Sciences & Forestry Computer Science & IT Control & Systems Engineering Earth & Planetary Sciences Mathematics

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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.
PENGARUH CARA TRANSMISI DAN IMMUNITAS HUMORAL PADA MODEL VIRUS CHIKUNGUNYA Mutia Annisa; Paian Sianturi; Ali Kusnanto; Hadi Sumarno
MILANG Journal of Mathematics and Its Applications Vol. 18 No. 2 (2022): MILANG Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (395.196 KB) | DOI: 10.29244/milang.18.2.115-127

Abstract

Chikungunya merupakan penyakit yang menginfeksi sendi dan otot yang disebarkan oleh nyamuk aedes aegepty dan aedes albopictus. Virus chikungunya dapat menginfeksi sel rentan melalui dua cara, yaitu sel rentan langsung terinfeksi oleh virus ataupun sel rentan terinfeksi oleh sel lain yang sudah terinfeksi. Penelitian ini bertujuan untuk melihat pengaruh cara transmisi dan immunitas humoral pada model matematika virus Chikungunya. Dalam model ini dihasilkan dua titik tetap, yaitu titik tetap bebas penyakit dan titik tetap endemik. Penentuan kestabilan titik tetap dilakukan dengan mencari bilangan reproduksi dasar, sedangkan pemilihan parameter yang berpengaruh dilakukan dengan analisis sensitivitas parameter. Hasil analisis pada model ini diperoleh bahwa agar penyakit menurun dan hilang diperlukan tindakan menurunkan laju transmisi sel rentan oleh sel virus dan sel terinfeksi serta meningkatkan laju produksi antibodi.
Co-Authors Hadi Sumarno Mutia Annisa Paian Sianturi Riza Rusdiani Yomi Kharisma Septika