KESTABILAN GLOBAL BEBAS PENYAKITFLU SINGAPURA (Hand, Foot and Mouth Disease)BERDASARKAN MODEL SEIRS

Eminugroho Ratna Sari

doi:10.21831/pg.v7i1.2833

KESTABILAN GLOBAL BEBAS PENYAKITFLU SINGAPURA (Hand, Foot and Mouth Disease)BERDASARKAN MODEL SEIRS

Eminugroho Ratna Sari,

10.21831/pg.v7i1.2833

Abstract

AbstrakPenelitian mengenai penyebaran HFMD pertama dilakukan menggunakan model SIR. Pada model ini,populasi individu yang sebenarnya telah terinfeksi tetapi belum menunjukkan gejala-gejala penyakit tidakdijelaskan. Dalam paper ini akan dibahas mengenai pembentukan model matematika dari penyebaranpenyakit HFMD menggunakan model SEIRS. Adanya penambahan kelas populasi E (Exposed) untukmelengkapi kekurangan pada model sebelumnya. Berdasarkan model, diperoleh titik ekuilibrium bebaspenyakit dan endemik. HFMD tidak akan mewabah jika R0 1. Selanjutnya dilakukan simulasimenggunakan MAPLE 13.

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References

Hsu, Sze-Bi. (2005). A Survey of Constructing Lyapunov Functions for Mathematical Models in Population Biology. Taiwanese Journal of Mathematics. Vol. 9 No. 2 pp. 151-173

Eminugroho, (2009), Modeling the Eradication of Aedes Aegypti with Sterile Insect Technique, Proceedings of IICMA, Gadjah Mada University, Yogyakarta,pp 301-312.

Eminugroho R, (2009), Analisa Kesta-bilan Model SIRCUntuk Influenza Tipe A, Jurnal MatematikaUniver- sitas Diponegoro.Vol.12No.3:122-127.

Roy, N., Halder, N., (2010). Compar-tmental Modeling of Hand, Foot and Mouth Infectious Disease (HFMD). Research Journal of Applied Sciences. Vol. 5 No. 3: 177-182.

Roy, N., (2012). Mathematical Model-ling of Hand-Foot-Mouth Disease: Quarantine as a Control Measure. IJASETR Research Paper ISSN: 1839-7239. Vol. 1 Issue 2 Article 4.

Shah, V.A., C.Y.Chong, K.P. Chan, W. Ng., A.E.Ling. (2003).Clinical Characteristics of an Outbreak of Hand, Foot, and Mouth Disease in Singapore. Singapore Medical Journal. Vol. 32 No. 3: 381-387.

Wang, Y.C. and F.C. Sung. (2007). Modeling the Infections for Enteroviruses in Taiwan.Taiwan: Institute of Environmental Health, National Taiwan University College of Public Health.

Centers for Disease Control and Prevention (CDC). About HFMD http://www.cdc.gov/hand-foot-mouth/about/index.htmldiakses tanggal 22 Mei 2012

Wikipedia. HFMDhttp://en.wikipedia.org/wiki/Hand,_foot_and_mouth_diseasediakses tanggal 22 Mei 2012.

WHO, (2012), Hand, Foot and Mouth Disease Update,http://www.wpro.who.int/entity/emerging_diseases/HFMD/en/index.htmldiakses tanggal 22 Mei 2012

DOI: https://doi.org/10.21831/pg.v7i1.2833