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All Journal Jambura Journal of Biomathematics (JJBM)
Amelia Tri Rahma Sidik
Department of Mathematics, Universitas Negeri Gorontalo
Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

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The existence of Neimark-Sacker bifurcation on a discrete-time SIS-Epidemic model incorporating logistic growth and allee effect Amelia Tri Rahma Sidik; Hasan S. Panigoro; Resmawan Resmawan; Emli Rahmi
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 Rahmi, Emli Resmawan Resmawan