Jurnal Pendidikan Sejarah dan Riset Sosial Humaniora (KAGANGA)
Vol. 8 No. 6 (2025): Kaganga: Jurnal Pendidikan Sejarah dan Riset Sosial Humaniora

Analisis Model Matematika Penularan Campak dengan Vaksinasi dan Rawat Inap Menggunakan Bifurkasi Transkritikal

Wahyu Adipradana, Dimaz (Unknown)



Article Info

Publish Date
31 Dec 2025

Abstract

Measles as one of notifable disease gets serious concern worldwide since it was first found in ninth century. The implementation of vaccines for controlling measles transmission since 1963 up to nowadays requires various studies regarding the efectiveness of the vaccines. The studies of modeling of measles virus transmission has been done by many researchers in Mathematics. In this study, three different models of measles virus transmission that include hospitalization compartment. In the first model, the population is constant, while in the second model, the population dependent by time. The last model, the infected population respect to Holling type II functional response. The model divided the population into Susceptibles ( ), Infectives ( ), Hospitalized ( ), and Recovered ( ) or called SIHR model. The analysis started with determining the the equilibria and their stability based on Basic Reproduction Number ( ). Futhermore, we do bifurcation analysis on those models and find a transcritical bifurcation. Keywords: Basic Reproduction Number, Equilibrium, Hospitalized, Measles, Transcritical Bifurcation, Vaccination

Copyrights © 2025






Journal Info

Abbrev

KAGANGA

Publisher

Subject

Social Sciences

Description

Kaganga:Jurnal Pendidikan Sejarah dan Riset Sosial Humaniora memuat artikel hasil penelitian baik penelitian menggunakan pendekatan kuantitatif, kualitatif, dan mixed method yang terkait dengan bidang. Pendidikan Sejarah dan Ilmu Pengetahuan Sosial (IPS) meliputi bidang ilmu dan praktik pendidikan, ...