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Unnes Journal of Mathematics
Published by Universitas Negeri Semarang
ISSN : 22526943     EISSN : 24605859     DOI : https://doi.org/10.15294/ujm
Core Subject : Education,
Mathematics
Unnes Journal of Mathematics (UJM) publishes research issues on mathematics and its apllication. The UJM processes manuscripts resulted from a research in mathematics and its application scope, which includes. The scopes include research in: 1. Algebra 2. Analysis 3. Discrete Mathematics and Graph Theory 3. Differential Equation 4. Geometry 5. Mathematics Computation, 6. Statistics.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 11 Documents
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Search results for , issue "Vol 5 No 2 (2016)" : 11 Documents clear
PEMODELAN MATEMATIKA EPIDEMI INFLUENZA DENGAN MEMPERHATIKAN PELUANG KEBERHASILAN VAKSINASI DAN KEKEBALAN TETAP Aulia, Nisa; Kharis, Muhammad; Supriyono, Supriyono
Unnes Journal of Mathematics Vol 5 No 2 (2016)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v5i2.13132

Abstract

This study reviews about a mathematical model for influenza epidemic. The mathematical model used is in the form of SIR epidemic models.This model considerates the factors of vaccination as a prevention of influenza diseases spread and immunity remains of each person who has recovered from the disease. In this research, it is conducted the study concerning the mathematical model of influenza epidemics by considering the chances of vaccination success and immunity remains, analysis of equilibrium and stability of the model, as well as model simulation and interpretation of model behavior. The method used is literature review, laboratory studies and analysis. The first step in this research is to determine the problem, formulate the problem, literature review, analysis and problem solving as well as the conclusion. As the results, it is obtained a model with four variable and nine parameters. From the model obtained an equilibrium point that is disease free equilibrium point which is stable asymptotically on R0 < 1 and unstable on R0 > 1. Furthermore, It is concluded that there is no possibility of widespreadoutbreaks and a geometric overview is given in the form of simulation with Maple 12 program.

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