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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI PYTHAGORAS: Jurnal Program Studi Pendidikan Matematika Limits: Journal of Mathematics and Its Applications Jambura Journal of Mathematics Jurnal Matematika UNAND Contemporary Mathematics and Applications (ConMathA) Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Jambura Journal of Biomathematics (JJBM) Jurnal Diferensial Pattimura International Journal of Mathematics (PIJMath) Limits: Journal of Mathematics and Its Applications
Rahmi, Emli
Universitas Negeri Gorontalo
Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Materials Science & Nanotechnology Mathematics Public Health

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Journal : Contemporary Mathematics and Applications (ConMathA)

 1 
The Dynamics of a Discrete Fractional-Order Logistic Growth Model with Infectious Disease Hasan S Panigoro; Emli Rahmi
Contemporary Mathematics and Applications (ConMathA) Vol. 3 No. 1 (2021)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v3i1.26938

Abstract

In this paper, we study the dynamics of a discrete fractional-order logistic growth model with infectious disease. We obtain the discrete model by applying the piecewise constant arguments to the fractional-order model. This model contains three fixed points namely the origin point, the disease-free point, and the endemic point. We confirm that the origin point is always exists and unstable, the disease-free point is always exists and conditionally stable, and the endemic point is conditionally exists and stable. We also investigate the existence of forward, period-doubling, and Neimark-Sacker bifurcation. The numerical simulations are also presented to confirm the analytical results. We also show numerically the existence of period-3 solution which leads to the occurrence of chaotic behavior.
Co-Authors Abdussamad, Trizaning Nursahbani Agusyarif Rezka Nuha Aliwu, Randa Resvitasari Amelia Tri Rahma Sidik Ana Nadiyyah Armayani Arsal Beay, Lazarus Kalvein DIAN SAVITRI Djihad Wungguli Friansyah Gani Hasan S. Panigoro Isran K Hasan Karim, Finansiya S. Abd. La Ode Nashar Lailany Yahya Mahmud, Sri Lestari NISKY IMANSYAH YAHYA Nisky Imansyah Yahya Novianita Achmad Nurhalis Hasan Nurwan Nurwan Nurwan Resmawan Resmawan Reza Mokodompit Reza Mokodompit Rusdianto Ibrahim Salmun K. Nasib Salmun K. Nasib Siti Maisaroh Siti Nurmardia Abdussamad Sitty Oriza Sativa Putri Ahaya Sri Lestari Mahmud