Jambura Journal of Biomathematics (JJBM)
Volume 3, Issue 2: December 2022

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

Amelia Tri Rahma Sidik (Department of Mathematics, Universitas Negeri Gorontalo)
Hasan S. Panigoro (Department of Mathematics, Universitas Negeri Gorontalo)
Resmawan Resmawan (Department of Mathematics, Universitas Negeri Gorontalo)
Emli Rahmi (Department of Mathematics, Universitas Negeri Gorontalo)

Article Info

Publish Date
31 Dec 2022

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

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Journal Info
Jambura Journal of Biomathematics (JJBM)
Website

Abbrev

JJBM

Publisher

Universitas Negeri Gorontalo

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

Description

Jambura Journal of Biomathematics (JJBM) aims to become the leading journal in Southeast Asia in presenting original research articles and review papers about a mathematical approach to explain biological phenomena. JJBM will accept high-quality article utilizing mathematical analysis to gain ...