MODEL EPIDEMI SIR DENGAN PERPINDAHAN POPULASI DAN PERIODE INFEKSI

The study investigated the model of SIR epidemic with population migration and infection period. The mathematics model for this problem has a single equilibrium point. The main objective of the study is to determine the equilibrium point of model and Ro so that the stability of equilibrium point can...

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Bibliographic Details
Main Authors: , Husna Arifah, , .S. Prof. Dr. Widodo, M
Format: Theses and Dissertations NonPeerReviewed
Published: [Yogyakarta] : Universitas Gadjah Mada 2014
Subjects:
ETD
Online Access:https://repository.ugm.ac.id/127765/
http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=68044
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Institution: Universitas Gadjah Mada
Description
Summary:The study investigated the model of SIR epidemic with population migration and infection period. The mathematics model for this problem has a single equilibrium point. The main objective of the study is to determine the equilibrium point of model and Ro so that the stability of equilibrium point can be determined. Results showed that stability of equilibrium point is influenced by Ro, Moreover, based on model simulation using Maple 12 showed that he longer the period of infection, the more rapid spread of the disease.