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All Journal Jambura Journal of Biomathematics (JJBM)
Sitty Oriza Sativa Putri Ahaya
Jurusan Matematika, Universitas Negeri Gorontalo
Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

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Analisis dinamik model SVEIR pada penyebaran penyakit campak Sitty Oriza Sativa Putri Ahaya; Emli Rahmi; Nurwan Nurwan
Jambura Journal of Biomathematics (JJBM) Volume 1, Issue 2: December 2020
Publisher : Department of Mathematics, State University of Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v1i2.8482

Abstract

In this article, we analyze the dynamics of measles transmission model with vaccination via an SVEIR epidemic model. The total population is divided into five compartments, namely the Susceptible, Vaccinated, Exposed, Infected, and Recovered populations. Firstly, we determine the equilibrium points and their local asymptotically stability properties presented by the basic reproduction number R0. It is found that the disease free equilibrium point is locally asymptotically stable if satisfies R01 and the endemic equilibrium point is locally asymptotically stable when R01. We also show the existence of forward bifurcation driven by some parameters that influence the basic reproduction number R0 i.e., the infection rate α or proportion of vaccinated individuals θ. Lastly, some numerical simulations are performed to support our analytical results.
Co-Authors Nurwan Nurwan Rahmi, Emli