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All Journal Seminar Nasional Teknologi Informasi Komunikasi dan Industri
Syamsuri Syamsuri
Jurusan Matematika Fakultas Sains dan Teknologi UIN Suska Riau
Computer Science & IT Control & Systems Engineering Electrical & Electronics Engineering Industrial & Manufacturing Engineering Mathematics

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Kestabilan Model SIRS dengan Pertumbuhan Logistik dan Non-monotone Incidence Rate Mohammad soleh; Syamsuri Syamsuri
Seminar Nasional Teknologi Informasi Komunikasi dan Industri 2015: SNTIKI 7
Publisher : UIN Sultan Syarif Kasim Riau

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Abstract

This paper discussed about mathematical modeling on the spread of infectious diseases by SIRS model. Most research about SIRS models is using exponential growth, so we propose SIRS model with logistic growth. This model has two equilibrium states: disease-free equilibrium and endemic state. Both equilibrium state are determined by solving the equations in the model. Each equilibrium state tested stability criteria eigen values. Our result obtained that if then a free equilibrium state is asymptotically stable, otherwise if then an endemic state is asymptotically stable.Keywords : Asymptotically Stable, Equilibrium State, Exponential Growth, Logistic Growth, SIRS Model.
Co-Authors Mohammad soleh