SEIR Epidemic Model Analysis Using Next Generation Matrix Method

Elis Ratna Wulan, Elis and Sadana Anastessa Fitri, Sadana (2013) SEIR Epidemic Model Analysis Using Next Generation Matrix Method. In: Symposium on Biomathematics (SYMOMATH) 2013, 27 - 29 Oktober 2013, Institut Teknologi Bandung. (Submitted)

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Abstract

Epidemic model is a model that consist of mathematical equations to describe the spread of a disease in a population. To measure the magnitude of the spread of disease in a population is called the basic reproductive number ( ), if declared not epidemic and if the condition of an epidemic is declared. One way to determine the value is using the next generation matrix, which is the use of this method depends onlu on the infected compartment, with is defined as the spectral radius of the next generation matrix. Hantavirus is a disease caused by mice, more mice become infected, then in the human population the chances of lungs or kidney infections will increase. The model that are used in this research is SEIR epidemic model on the mice population, using the next generation matrix obtained value to control the progression of the desease in the mice population.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: SEIR deterministic model, linearization, basic reproductive number, next generation matrix method, Hantavirus
Subjects: Applied mathematics > Special Topics of Applied Mathematics
Divisions: Fakultas Sains dan Teknologi > Program Studi Matematika
Depositing User: Mrs Elis Ratna Wulan
Date Deposited: 07 Sep 2016 10:12
Last Modified: 16 Sep 2016 05:32
URI: https://digilib.uinsgd.ac.id/id/eprint/2268

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