MODEL MATEMATIKA PENYEBARAN FLU BURUNG DENGAN TREATMENT PADA MANUSIA DAN DINAMIKA POPULASI RECRUITMENT-DEATH PADA UNGGAS

Dewi Aulia Afifah; Muhammad Kharis; Tri Sri Noor Asih

doi:10.15294/ujm.v8i2.22985

[1] Radji, M. 2006. Avian Influenza A (H5N1): Patogenesis, Pencegahan dan Penyebaran pada Manusia. Review Artikel Majalah Ilmu Kefarmasian, 3(2):55-65.
[2] National Science Foundation. 2015. Mathematical Modeling of Disease Outbreak, BioMath. USA: COMAP, Inc. In conjunction with DIMACS, Rutgers University.
[3] Syaâ€™baningtyas, FS., M. Chotim., M. Kharis. 2013. Model Matematikawabah Flu burung Pada Populasi Unggasdengan Pengaruh Vaksinasi. Unnes Journal of Mathematics, 2(2):127-132.
[4] World Health Organization (WHO). 2017. Cumulative Number of Confirmed Human Cases for Avian Influenza A (H5N1) reported to WHO, 2003-2017. [Diakses di http://www.who.int/influenza/human_animal_interface/2017_07_25_tableH5N1.pdf pada tanggal 12 Februari 2018].
[5] Lashari, A. A. 2016. Optimal Control of an SIR Epidemic Model with a Saturated Treatment. Applied Mathematics & Information Sciences An International Journal, 10(1):185-191.
[6] Kharis, M & R Arifudin. 2017. Mathematical Model of Seasonal Influenza with Treatment in Constant Population. Journal of Physics. 824 012034 doi: 10.1088/012034
[7] Setiyono, A & Nurliani, B. 2013. Potensi Tanaman Obat untuk Penanggulangan Flu burung: Uji In Vitro pada Sel Vero. Jurnal Sain Veteriner, 31(1):27-34.
[8] Tasmi & Nuraini, N. 2016. Optimal Vaccination and Treatment Schedules in a Deterministic Avian influenza Model. J. Math. Fund. Sci, 48(2):164-177.
[9] Sompet, B, et al. 2017. Antiviral activity of five Asian medicinal pant crude extracts against highly pathogenic H5N1 avian influenza virus. Asian Pacific Journal of Tropical Medicine, http://dx.doi.org/10.1016/j.apjtm.2017.08.010.
[10] Iwami S., Takeuchi, Y., Liu, X. 2007. Avian-Human Influenza Epidemic Model.Mathematical Biosciences, doi:10.1016/j.mbs.2006.08.001.
[11] Siswanto., Supriyono., Wuryanto. 2013. Model Matematika Penyebaran Flu burung dari Unggas ke Manusia. Unnes Journal of Mathematics, 2(1):32-38.
[12] Modnak, C. 2017. Optimal Treatment Strategy of An Avian Influenza Model With Latency. International Journal of Biomathematics, 10(5):1-21.
[13] Chong, N.S., Jean M.T., Robert J.S. 2014. A Mathematical Model Of Avian Influenza With Half-Saturated Incidence. Theory Biosci, DOI 10.1007/s12064-013-0183-6
[14] Putri, D.P. & Herri, S. 2016. Kajian Pemodelan Matematika terhadap Penyebaran Virus Avian Influenza Tipe-H5N1 pada Populasi Unggas. Teorema, Jurnal Matematika dan Pendidikan Matematika FKIP-Universitas Galuh Ciamis, 3(2):501-516.
[15] Kimbir, A.R, P.N Okolo. 2014. A Model Analysis for the Transmission Dynamics of Avian Influenza. Mathematical Theory and Modelling, 4(13):15-28.
[16] Gulbudak H & M. Martcheva. 2013. Forward Hysteresis and Backward Bifurcation Caused By Culling in An Avian Influenza Model. Math Biosciences,doi:http://dx.doi.org/10.1016/j.mbs.2013.09.001
[17] Pongsumpun, P & Lamwong, J. 2016. Mathematical Model for The Transmission of Avian Influenza by Age Gorup of Patients in Thailand. International Journal of Multidiscriplinary Academic Research. 4(1):12-23.
[18] Enatsu, Y., Messina, E., Nakata, Y., Muroya, Y., Russo, E., & Veccio, A. 2012. Global Dynamics of a Delayed SIRS Epidemic Models With a Wide Class of Non Linear Incidence Rates. Journal of Applied Mathematics and Computing, DOI: 10.1007/s12190-011-0507-y
[19] Derouich, M. & Boutayeb. 2008. An Avian Influenza Mathematical Model. Applied Mathematical Sciences, 2(36):1749-1760.
[20] Rahmalia, D. 2015. Pemodelan Matematika dan Analisis Stabilitas dari Penyebaran Penyakit Flu burung. Jurnal UJMC, 1(1):11-19.

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Affiliations

Dewi Aulia Afifah
UNNES

Muhammad Kharis
Universitas Negeri Semarang

Tri Sri Noor Asih
Universitas Negeri Semarang

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MODEL MATEMATIKA PENYEBARAN FLU BURUNG DENGAN TREATMENT PADA MANUSIA DAN DINAMIKA POPULASI RECRUITMENT-DEATH PADA UNGGAS

Dewi Aulia Afifah ,
Muhammad Kharis ,
Tri Sri Noor Asih

Vol 8 No 2 (2019)

DOI 10.15294/ujm.v8i2.22985

Submitted: Apr 26, 2018

Published: Aug 17, 2019

Abstract

Avian influenza is â€‹â€‹a disease caused by H5N1 virus type A. The spreading process of avian influenza caused by wild poultry migration. Avian influenza is transmitted from poultry to poultry and from poultry to humans through saliva, mucus of nose and feces. The disease can cause death for humans with high mortality. Deaths due to infection avian influenza virus can be avoided by giving treatment for humans and burning infected poultry. Therefore, considering how dangerous avian influenza disease for humans, it is very necessary for humans to study this disease, one of them with a mathematical model of avian influenza. We analyzed the existence of the equilibrium point of the model and its stability analysis of the equilibrium point. The simulation gives results to validate the interpretation of analytic and numerical results from the analysis process.