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http://repository.ipb.ac.id/handle/123456789/105914
Title: | Sistem Dinamik Penyebaran Penyakit Hepatitis B pada Tiga Kelompok Umur dengan Vaksinasi |
Other Titles: | Dynamical System of Hepatitis B in Three Groups with Vaccination |
Authors: | Jaharuddin, Jaharuddin Nugrahani, Endar H Febrianiza, Arisa |
Issue Date: | 2021 |
Publisher: | IPB University |
Abstract: | The aim of this study is to modify the hepatitis B transmission model in three age groups involving vaccination from the model conducted by Zhoe and Zhang.The method used is to analyze the stability of the fixed point and its basic reproduction number (R_0). Performed stability analysis and numerical simulation to see population dynamics. Next, a sensitivity analysis of the parameters was carried out to see its effect on R_0. From the analysis obtained two fixed points, namely non-endemic and endemic fixed points. Non-endemic fixed points are locally asymptotically stable if R_0 <1 Meanwhile, the endemic fixed point is locally asymptotically stable if R_0 > 1. Hepatitis vaccination affects the number of susceptible population, because the more successful the vaccination, the smaller the number of susceptible populations so that the smaller the population will be infected. |
URI: | http://repository.ipb.ac.id/handle/123456789/105914 |
Appears in Collections: | MT - Mathematics and Natural Science |
Files in This Item:
File | Description | Size | Format | |
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Cover, Lembar Pengesahan, Prakarta, Daftar Isi.pdf Restricted Access | Cover | 747.57 kB | Adobe PDF | View/Open |
G551180141_Arisa Febrianiza.pdf Restricted Access | Fullteks | 4.16 MB | Adobe PDF | View/Open |
Lampiran.pdf Restricted Access | Lampiran | 1.5 MB | Adobe PDF | View/Open |
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