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All Journal Jambura Journal of Biomathematics (JJBM) Research in the Mathematical and Natural Sciences
Sidik, Amelia Tri Rahma
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Computer Science & IT Decision Sciences, Operations Research & Management Education Mathematics

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Analisis Kestabilan Model SITR pada Penyebaran Penyakit Hepatitis A dengan Vaksinasi Sidik, Amelia Tri Rahma; Sari, Lia Nanda; Ismail, Apon
Research in the Mathematical and Natural Sciences Vol. 1 No. 1 (2022): November 2021-April 2022
Publisher : Scimadly Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (347.934 KB) | DOI: 10.55657/rmns.v1i1.1

Abstract

In this article, the SITR Model for the spread of Hepatitis A by Vaccination is discussed. This study aims to analyze the stability of the model for the spread of hepatitis A disease around the points, interpret the model that has been formed by performing numerical simulations, and determine the effect of vaccination and treatment on the human population infected with hepatitis A. indicated by (T1) is stable and the endemic fixed point indicated by (T2) is stable. Based on the simulation obtained from each class (S, I, T, R) for R0<1, it shows that the population dynamics is (0.13,0,0,0.87) of the total population. Meanwhile, for R0>1 with a basic reproduction number, it shows the population dynamics of each class (S, I, T, R) that is (0.12,0.0056,0.0053,0.85) of the total population.
The existence of Neimark-Sacker bifurcation on a discrete-time SIS-Epidemic model incorporating logistic growth and allee effect Sidik, Amelia Tri Rahma; Panigoro, Hasan S.; Resmawan, Resmawan; Rahmi, Emli
Jambura Journal of Biomathematics (JJBM) Volume 3, Issue 2: December 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v3i2.17515

Abstract

This article investigates the dynamical properties of a discrete time SIS-Epidemic model incorporating logistic growth rate and Allee effect. The forward Euler discretization method is employed to obtain the discrete-time model. All possible fixed points are identified including their local dynamics. Some numerical simulations by varying the step size parameter are explored to show the analytical findings, the existence of Neimark-Sacker bifurcation, and the occurrence of period-10 and 20 orbits
Co-Authors Hasan S. Panigoro Ismail, Apon Rahmi, Emli Resmawan Resmawan Sari, Lia Nanda