Pengaruh Vaksinasi Pada Anjing Terhadap Tingkat Penularan Rabies Menggunakan Pemodelan Dinamik
DOI:
https://doi.org/10.31316/j.derivat.v12i1.7224Abstract
Rabies is a disease that attacks the central nervous system (brain) caused by the rabies virus. Rabies is the most frightening infectious disease in the province of East Nusa Tenggara (NTT) where two people in TTU district were reported to have died from the Rabies virus due to being exposed to GHPR. This research was conducted to see the effect of vaccination on dogs on the rate of rabies transmission. The method used is to first create a mathematical model of rabies transmission by adding vaccination variables, then conducting numerical analysis and simulation. The model formed is . This model is formed to see the effect of vaccination in animals on the transmission of rabies in humans. This model has two equilibrium points, namely a disease-free equilibrium point with the results of the analysis of its stability conditions being locally asymptotically stable when and a disease-endemic equilibrium point with its stability conditions being unstable when . This means that rabies will disappear within a certain period of time. Numeric simulation was performed to support the analysis results using MAPLE software. The simulation results show that in more than 120 days rabies will disappear. Vaccination has a significant impact on the transmission of rabies, that is, the greater the rate of vaccination, the faster it will stop the transmission of rabies.
Keywords: Dynamic Model, Rabies Transmission, Rabies Vaccine
References
Amelia, R., Anggriani, N., Istifadah, N., & Supriatna, A. K. (2020). Dynamic analysis of mathematical model of the spread of yellow virus in red chili plants through insect vectors with logistical functions. AIP Conference Proceedings, 2264. https://doi.org/10.1063/5.0023572
Amelia, R., Anggriani, N., Istifadah, N., & Supriatna, A. K. (2021). Stability analysis for yellow virus disease mathematical model of red chili plants. Journal of Physics: Conference Series, 1722(1). https://doi.org/10.1088/1742-6596/1722/1/012043
Direktorat Jenderal Peternakan dan Kesehatan Hewan, K. P. (2023, November 21). Tekan Kasus Rabies di NTT, Kementan Kejar Target Vaksinasi Capai 70% Populasi.
Hasanah, D., Sani, A., Kabil Djafar, M., Cahyono, E., & La Pimpi. (2024). Model Seiar Penyebaran Penyakit Rabies Pada Manusia. Jurnal Matematika Komputasi Dan Statistika, 3(3), 425–431. https://doi.org/10.33772/jmks.v3i3.48
Ludji, D. G. (2021). ANALISIS SENSITIVITAS PENYEBARAN PENYAKIT TUBERKULOSIS DENGAN REINFEKSI. Math Educa Journal, 5(2), 143–153. https://doi.org/10.15548/mej.v5i2.2551
Ludji, D. G., Sianturi, P., & Nugrahani, E. (2019). Dynamical System of the Mathematical Model for Tuberculosis with Vaccination. ComTech: Computer, Mathematics and Engineering Applications, 10(2). https://doi.org/10.21512/comtech.v10i2.5686
Luh Putu Yulianita, N., Ngurah Adisanjaya, N., & Riska Resty Wasita, R. (2023). Pemetaan Faktor Risiko Kasus Gigitan Hewan Penular Rabies pada Manusia Berbasis Sistem Informasi Geografis di Kabupaten Buleleng pada Tahun 2021. Healthy Tadulako Journal (Jurnal Kesehatan Tadulako, 9(1), 1–9.
Nashiratun Nissa. (2023). Model Matematika Penyebaran Penyakit Rabies Pada Manusia dan Anjing dengan Vaksinasi. Sains Dan Teknologi .
Nirwana F. Kridayati, Kamiran, & Nur Asiyah. (2019). Analisis Kestabilan Model Matematika Penyebaran Penyakit Rabies pada Anjing dengan Kontrol Optimal Berupa Kontrasepsi. JURNAL SAINS DAN SENI ITS, 8(2), A78–A84.
Pangestu, Q., & Hartono. (2023). Analisis Kestabilan Titik Equilibrium dari Model Matematika Penyebaran Penyakit DBD di DIY. Jurnal Kajian Dan Terapan Matematika, 9(2), 86–96.
Pemerintah Kabupaten TTU. (2023). Instruksi Bupati Timor Tengah Utara .
Sigrianus Marutho Bere, & Andi Hartik. (2023). Pasien Rabies di TTU meninggal. Kompas Media.
Syahfitri, R. I. (2023). Pengaruh Tingkat Pengetahuan Terhadap Pencegahan Penyakit Rabies. PubHealth Jurnal Kesehatan Masyarakat, 2(1), 48–53. https://doi.org/10.56211/pubhealth.v2i1.310
Zeth Arthur Leleury, Mozart Winston Talakua, & Julia Anggraini Papilaya. (2017). ANALISIS SISTEM DINAMIK DAN KENDALI OPTIMAL PADA PENYEBARAN POPULASI ANJING RABIES DI KOTA AMBON . Seminar Nasional Matematika , 116–123.
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