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All Journal Journal of Mathematics UNP
Aly Muhammad Zhafran
Universitas Negeri Padang
Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

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Model Matematika SEIRS Penyebaran Penyakit Pneumonia pada Balita dengan Pengaruh Vaksinasi Aly Muhammad Zhafran; Arnellis Arnellis
Journal of Mathematics UNP Vol 7, No 3 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (317.419 KB) | DOI: 10.24036/unpjomath.v7i3.12577

Abstract

This study aims to establish a mathematical model of the distribution of pneumonia in children under five using the SEIRS (Susceptible-Exposed-Infected-Recovered-Susceptible) model, model analysis, and comparison of minimal vaccinations. This model consists of several classes, namely susceptible, infected but not yet infectious, infected, and cured. Analysis of the stability of the model is obtained by finding a disease-free fixed point whose analysis results are asymptotically stable and an endemic fixed point whose analysis results are asymptotically stable if the value of  A>(Cαβmσ-Cαβσ)/(BCm-Bmρ) and A>βγρ/BC .
Co-Authors Arnellis Arnellis