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; Emli Rahmi

doi:10.34312/jjbm.v3i2.17515

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The existence of Neimark-Sacker bifurcation on a discrete-time SIS-epidemic model incorporating logistic growth and Allee effect

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Amelia Tri Rahma Sidik, Hasan S. Panigoro, Resmawan, Emli Rahmi

2022 Jambura Journal of Biomathematics Vol. 3 Issue 2 Article Cited by 3 SDG 16

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. © 2022 by the Author(s).

Affiliations

Biomathematics Research Group, Universitas Negeri Gorontalo, Bone Bolango, 96554, Indonesia

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